Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
23520.a1 |
23520bi1 |
23520.a |
23520bi |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.588924371$ |
$1$ |
|
$3$ |
$92160$ |
$1.356144$ |
$4446542056384/25725$ |
$1.10048$ |
$4.46645$ |
$[0, -1, 0, -67146, -6674604]$ |
\(y^2=x^3-x^2-67146x-6674604\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(418, 6174)]$ |
23520.a2 |
23520bi2 |
23520.a |
23520bi |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$5.177848742$ |
$1$ |
|
$3$ |
$184320$ |
$1.702717$ |
$-65743598656/5294205$ |
$1.08536$ |
$4.47390$ |
$[0, -1, 0, -65921, -6931119]$ |
\(y^2=x^3-x^2-65921x-6931119\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(2000, 88641)]$ |
23520.b1 |
23520e2 |
23520.b |
23520e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.447432615$ |
$1$ |
|
$27$ |
$16384$ |
$0.497135$ |
$69934528/225$ |
$0.91085$ |
$3.20086$ |
$[0, -1, 0, -961, 11761]$ |
\(y^2=x^3-x^2-961x+11761\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[(21, 20), (5, 84)]$ |
23520.b2 |
23520e1 |
23520.b |
23520e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.789730463$ |
$1$ |
|
$13$ |
$8192$ |
$0.150561$ |
$3241792/1875$ |
$1.20928$ |
$2.48254$ |
$[0, -1, 0, -86, 36]$ |
\(y^2=x^3-x^2-86x+36\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[(-2, 14), (0, 6)]$ |
23520.c1 |
23520a1 |
23520.c |
23520a |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$2.518738087$ |
$1$ |
|
$2$ |
$12672$ |
$0.432908$ |
$-392/1125$ |
$1.07390$ |
$2.83166$ |
$[0, -1, 0, -16, -1784]$ |
\(y^2=x^3-x^2-16x-1784\) |
40.2.0.a.1 |
$[(13, 6)]$ |
23520.d1 |
23520d4 |
23520.d |
23520d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.320145$ |
$68017239368/39375$ |
$0.93705$ |
$4.25775$ |
$[0, -1, 0, -33336, -2330460]$ |
\(y^2=x^3-x^2-33336x-2330460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 40.24.0-40.ba.1.14, $\ldots$ |
$[]$ |
23520.d2 |
23520d3 |
23520.d |
23520d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.320145$ |
$13858588808/229635$ |
$0.92250$ |
$4.09970$ |
$[0, -1, 0, -19616, 1048776]$ |
\(y^2=x^3-x^2-19616x+1048776\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.6, 56.24.0-56.y.1.14, $\ldots$ |
$[]$ |
23520.d3 |
23520d1 |
23520.d |
23520d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$0.973572$ |
$220348864/99225$ |
$0.91532$ |
$3.48166$ |
$[0, -1, 0, -2466, -21384]$ |
\(y^2=x^3-x^2-2466x-21384\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 40.24.0-20.a.1.4, $\ldots$ |
$[]$ |
23520.d4 |
23520d2 |
23520.d |
23520d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.320145$ |
$143877824/108045$ |
$0.91686$ |
$3.85250$ |
$[0, -1, 0, 8559, -169119]$ |
\(y^2=x^3-x^2+8559x-169119\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0.h.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
23520.e1 |
23520bh4 |
23520.e |
23520bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$18.77312718$ |
$1$ |
|
$1$ |
$294912$ |
$2.148918$ |
$128025588102048008/7875$ |
$1.02392$ |
$5.69313$ |
$[0, -1, 0, -4116016, -3212760284]$ |
\(y^2=x^3-x^2-4116016x-3212760284\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.14, 56.24.0-56.y.1.6, $\ldots$ |
$[(876619005/319, 25155912775196/319)]$ |
23520.e2 |
23520bh3 |
23520.e |
23520bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{12} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$4.693281796$ |
$1$ |
|
$1$ |
$294912$ |
$2.148918$ |
$43919722445768/15380859375$ |
$1.00022$ |
$4.90057$ |
$[0, -1, 0, -288136, -37311560]$ |
\(y^2=x^3-x^2-288136x-37311560\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 40.24.0-40.ba.1.6, $\ldots$ |
$[(-1331/2, 37191/2)]$ |
23520.e3 |
23520bh1 |
23520.e |
23520bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$9.386563593$ |
$1$ |
|
$3$ |
$147456$ |
$1.802345$ |
$250094631024064/62015625$ |
$1.00620$ |
$4.86679$ |
$[0, -1, 0, -257266, -50128784]$ |
\(y^2=x^3-x^2-257266x-50128784\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 40.24.0-20.a.1.4, $\ldots$ |
$[(82680/11, 12811736/11)]$ |
23520.e4 |
23520bh2 |
23520.e |
23520bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$280$ |
$48$ |
$0$ |
$4.693281796$ |
$1$ |
|
$3$ |
$294912$ |
$2.148918$ |
$-2671731885376/1969120125$ |
$0.99342$ |
$4.91062$ |
$[0, -1, 0, -226641, -62544159]$ |
\(y^2=x^3-x^2-226641x-62544159\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0.h.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(2273, 105644)]$ |
23520.f1 |
23520c1 |
23520.f |
23520c |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17920$ |
$0.766045$ |
$140608/15$ |
$0.97255$ |
$3.33073$ |
$[0, -1, 0, -1486, -19424]$ |
\(y^2=x^3-x^2-1486x-19424\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |
23520.f2 |
23520c2 |
23520.f |
23520c |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35840$ |
$1.112617$ |
$39304/225$ |
$0.85989$ |
$3.62778$ |
$[0, -1, 0, 1944, -99000]$ |
\(y^2=x^3-x^2+1944x-99000\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
23520.g1 |
23520bd4 |
23520.g |
23520bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.331390429$ |
$1$ |
|
$3$ |
$24576$ |
$0.848758$ |
$890277128/15$ |
$0.98337$ |
$3.82698$ |
$[0, -1, 0, -7856, -265404]$ |
\(y^2=x^3-x^2-7856x-265404\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(145, 1274)]$ |
23520.g2 |
23520bd3 |
23520.g |
23520bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.331390429$ |
$1$ |
|
$3$ |
$24576$ |
$0.848758$ |
$14172488/1875$ |
$1.11851$ |
$3.41565$ |
$[0, -1, 0, -1976, 30360]$ |
\(y^2=x^3-x^2-1976x+30360\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$ |
$[(133, 1450)]$ |
23520.g3 |
23520bd1 |
23520.g |
23520bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.665695214$ |
$1$ |
|
$9$ |
$12288$ |
$0.502184$ |
$1906624/225$ |
$0.92155$ |
$3.00977$ |
$[0, -1, 0, -506, -3744]$ |
\(y^2=x^3-x^2-506x-3744\) |
2.6.0.a.1, 20.12.0.a.1, 24.12.0.b.1, 28.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(-14, 20)]$ |
23520.g4 |
23520bd2 |
23520.g |
23520bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.832847607$ |
$1$ |
|
$9$ |
$24576$ |
$0.848758$ |
$85184/405$ |
$1.20074$ |
$3.31049$ |
$[0, -1, 0, 719, -20159]$ |
\(y^2=x^3-x^2+719x-20159\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0.y.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(33, 196)]$ |
23520.h1 |
23520bc4 |
23520.h |
23520bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$7.188912294$ |
$1$ |
|
$1$ |
$147456$ |
$1.902500$ |
$608119035935048/826875$ |
$0.99937$ |
$5.16165$ |
$[0, -1, 0, -691896, 221748696]$ |
\(y^2=x^3-x^2-691896x+221748696\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$ |
$[(10205/2, 981617/2)]$ |
23520.h2 |
23520bc3 |
23520.h |
23520bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5 \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$7.188912294$ |
$1$ |
|
$1$ |
$147456$ |
$1.902500$ |
$2428799546888/778248135$ |
$0.98008$ |
$4.61296$ |
$[0, -1, 0, -109776, -9315900]$ |
\(y^2=x^3-x^2-109776x-9315900\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(-931/2, 15119/2)]$ |
23520.h3 |
23520bc1 |
23520.h |
23520bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$3.594456147$ |
$1$ |
|
$7$ |
$73728$ |
$1.555927$ |
$1219555693504/43758225$ |
$0.97220$ |
$4.33793$ |
$[0, -1, 0, -43626, 3411360]$ |
\(y^2=x^3-x^2-43626x+3411360\) |
2.6.0.a.1, 20.12.0.a.1, 24.12.0.b.1, 28.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(98, 260)]$ |
23520.h4 |
23520bc2 |
23520.h |
23520bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.797228073$ |
$1$ |
|
$7$ |
$147456$ |
$1.902500$ |
$1012048064/130203045$ |
$1.03841$ |
$4.58274$ |
$[0, -1, 0, 16399, 12018945]$ |
\(y^2=x^3-x^2+16399x+12018945\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0.y.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-191, 1372)]$ |
23520.i1 |
23520bb4 |
23520.i |
23520bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$1680$ |
$192$ |
$3$ |
$3.528892551$ |
$1$ |
|
$3$ |
$36864$ |
$1.065275$ |
$23937672968/45$ |
$1.01090$ |
$4.15400$ |
$[0, -1, 0, -23536, 1397656]$ |
\(y^2=x^3-x^2-23536x+1397656\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 28.12.0-4.c.1.1, 40.24.0.by.1, $\ldots$ |
$[(285, 4214)]$ |
23520.i2 |
23520bb3 |
23520.i |
23520bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$1680$ |
$192$ |
$3$ |
$3.528892551$ |
$1$ |
|
$3$ |
$36864$ |
$1.065275$ |
$111980168/32805$ |
$0.98174$ |
$3.62101$ |
$[0, -1, 0, -3936, -65484]$ |
\(y^2=x^3-x^2-3936x-65484\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 28.12.0-4.c.1.2, 40.24.0.by.1, $\ldots$ |
$[(273, 4374)]$ |
23520.i3 |
23520bb1 |
23520.i |
23520bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$1680$ |
$192$ |
$3$ |
$1.764446275$ |
$1$ |
|
$9$ |
$18432$ |
$0.718701$ |
$48228544/2025$ |
$1.02099$ |
$3.33073$ |
$[0, -1, 0, -1486, 21736]$ |
\(y^2=x^3-x^2-1486x+21736\) |
2.6.0.a.1, 4.12.0.a.1, 24.24.0.j.1, 28.24.0-4.a.1.1, 40.24.0.a.1, $\ldots$ |
$[(28, 36)]$ |
23520.i4 |
23520bb2 |
23520.i |
23520bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$1680$ |
$192$ |
$3$ |
$0.882223137$ |
$1$ |
|
$7$ |
$36864$ |
$1.065275$ |
$85184/5625$ |
$1.15009$ |
$3.58390$ |
$[0, -1, 0, 719, 78625]$ |
\(y^2=x^3-x^2+719x+78625\) |
2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 28.24.0-4.d.1.1, 40.24.0.bf.1, $\ldots$ |
$[(13, 300)]$ |
23520.j1 |
23520b1 |
23520.j |
23520b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.279543$ |
$16079333824/2953125$ |
$1.00765$ |
$3.90788$ |
$[0, -1, 0, -10306, -329300]$ |
\(y^2=x^3-x^2-10306x-329300\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
23520.j2 |
23520b2 |
23520.j |
23520b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.626118$ |
$1925134784/4465125$ |
$1.02421$ |
$4.21959$ |
$[0, -1, 0, 20319, -1940175]$ |
\(y^2=x^3-x^2+20319x-1940175\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
23520.k1 |
23520be1 |
23520.k |
23520be |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$6.965186762$ |
$1$ |
|
$0$ |
$12672$ |
$0.657656$ |
$-215474070728/3645$ |
$0.97185$ |
$3.59902$ |
$[0, -1, 0, -3656, -83880]$ |
\(y^2=x^3-x^2-3656x-83880\) |
40.2.0.a.1 |
$[(3809/7, 106056/7)]$ |
23520.l1 |
23520bg4 |
23520.l |
23520bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$6.356002852$ |
$4$ |
$2$ |
$3$ |
$73728$ |
$1.236540$ |
$303735479048/105$ |
$0.94981$ |
$4.40641$ |
$[0, -1, 0, -54896, -4932360]$ |
\(y^2=x^3-x^2-54896x-4932360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 120.24.0.?, $\ldots$ |
$[(441, 7512)]$ |
23520.l2 |
23520bg3 |
23520.l |
23520bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1.589000713$ |
$1$ |
|
$3$ |
$73728$ |
$1.236540$ |
$82881856/36015$ |
$0.98412$ |
$3.79770$ |
$[0, -1, 0, -7121, 117825]$ |
\(y^2=x^3-x^2-7121x+117825\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$ |
$[(-51, 588)]$ |
23520.l3 |
23520bg1 |
23520.l |
23520bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$3.178001426$ |
$1$ |
|
$7$ |
$36864$ |
$0.889967$ |
$601211584/11025$ |
$0.96539$ |
$3.58138$ |
$[0, -1, 0, -3446, -75480]$ |
\(y^2=x^3-x^2-3446x-75480\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0.a.1, $\ldots$ |
$[(98, 720)]$ |
23520.l4 |
23520bg2 |
23520.l |
23520bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1.589000713$ |
$1$ |
|
$5$ |
$73728$ |
$1.236540$ |
$-8/354375$ |
$1.25857$ |
$3.78980$ |
$[0, -1, 0, -16, -222284]$ |
\(y^2=x^3-x^2-16x-222284\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$ |
$[(68, 294)]$ |
23520.m1 |
23520bf4 |
23520.m |
23520bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$35.77773686$ |
$1$ |
|
$3$ |
$10321920$ |
$3.732944$ |
$229625675762164624948320008/9568125$ |
$1.08161$ |
$7.80999$ |
$[0, -1, 0, -5000940016, 136122808277716]$ |
\(y^2=x^3-x^2-5000940016x+136122808277716\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 56.24.0-56.ba.1.4, 168.48.0.? |
$[(3999490642248225/132017, 242116684475079417445702/132017)]$ |
23520.m2 |
23520bf3 |
23520.m |
23520bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$8.944434216$ |
$1$ |
|
$3$ |
$10321920$ |
$3.732944$ |
$7079962908642659949376/100085966990454375$ |
$1.08828$ |
$6.98465$ |
$[0, -1, 0, -313630641, 2111674775841]$ |
\(y^2=x^3-x^2-313630641x+2111674775841\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 28.24.0-28.h.1.1, 168.48.0.? |
$[(901661, 856015300)]$ |
23520.m3 |
23520bf1 |
23520.m |
23520bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$17.88886843$ |
$1$ |
|
$3$ |
$5160960$ |
$3.386368$ |
$448487713888272974160064/91549016015625$ |
$1.09640$ |
$6.98363$ |
$[0, -1, 0, -312558766, 2126996800216]$ |
\(y^2=x^3-x^2-312558766x+2126996800216\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 28.24.0-28.a.1.2, 168.48.0.? |
$[(2123325924/97, 97550079897500/97)]$ |
23520.m4 |
23520bf2 |
23520.m |
23520bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{16} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$35.77773686$ |
$1$ |
|
$1$ |
$10321920$ |
$3.732944$ |
$-55486311952875723077768/801237030029296875$ |
$1.06446$ |
$6.98506$ |
$[0, -1, 0, -311487136, 2142304820440]$ |
\(y^2=x^3-x^2-311487136x+2142304820440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 28.12.0-4.c.1.1, $\ldots$ |
$[(-99709575876195651/2451161, 24380621350866106437519562/2451161)]$ |
23520.n1 |
23520l4 |
23520.n |
23520l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$2.552663703$ |
$1$ |
|
$3$ |
$110592$ |
$1.538595$ |
$1261112198464/675$ |
$1.05532$ |
$4.75443$ |
$[0, -1, 0, -176465, 28591137]$ |
\(y^2=x^3-x^2-176465x+28591137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(259, 440)]$ |
23520.n2 |
23520l3 |
23520.n |
23520l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$2.552663703$ |
$1$ |
|
$3$ |
$110592$ |
$1.538595$ |
$26410345352/10546875$ |
$1.03973$ |
$4.16376$ |
$[0, -1, 0, -24320, -804600]$ |
\(y^2=x^3-x^2-24320x-804600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.2, $\ldots$ |
$[(-35, 50)]$ |
23520.n3 |
23520l1 |
23520.n |
23520l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$168$ |
$48$ |
$0$ |
$1.276331851$ |
$1$ |
|
$11$ |
$55296$ |
$1.192022$ |
$20034997696/455625$ |
$1.03014$ |
$3.92973$ |
$[0, -1, 0, -11090, 444312]$ |
\(y^2=x^3-x^2-11090x+444312\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$ |
$[(14, 540)]$ |
23520.n4 |
23520l2 |
23520.n |
23520l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$2.552663703$ |
$1$ |
|
$3$ |
$110592$ |
$1.538595$ |
$2863288/13286025$ |
$1.17383$ |
$4.14983$ |
$[0, -1, 0, 1160, 1360612]$ |
\(y^2=x^3-x^2+1160x+1360612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(89, 1470)]$ |
23520.o1 |
23520j4 |
23520.o |
23520j |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.724551938$ |
$1$ |
|
$1$ |
$442368$ |
$2.385517$ |
$60910917333827912/3255076125$ |
$1.02087$ |
$5.61933$ |
$[0, -1, 0, -3213240, 2217954600]$ |
\(y^2=x^3-x^2-3213240x+2217954600\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.v.1, 56.12.0-4.c.1.2, $\ldots$ |
$[(9565/3, 40670/3)]$ |
23520.o2 |
23520j3 |
23520.o |
23520j |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.724551938$ |
$1$ |
|
$3$ |
$442368$ |
$2.385517$ |
$257307998572864/19456203375$ |
$1.03370$ |
$5.28279$ |
$[0, -1, 0, -1038865, -379651775]$ |
\(y^2=x^3-x^2-1038865x-379651775\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.bb.1, 56.12.0-4.c.1.4, $\ldots$ |
$[(-565, 5160)]$ |
23520.o3 |
23520j1 |
23520.o |
23520j |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.362275969$ |
$1$ |
|
$7$ |
$221184$ |
$2.038944$ |
$139927692143296/27348890625$ |
$1.03575$ |
$4.80910$ |
$[0, -1, 0, -211990, 30643600]$ |
\(y^2=x^3-x^2-211990x+30643600\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0.a.1, 56.12.0-2.a.1.1, 60.12.0.a.1, $\ldots$ |
$[(110, 2940)]$ |
23520.o4 |
23520j2 |
23520.o |
23520j |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{12} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.181137984$ |
$1$ |
|
$3$ |
$442368$ |
$2.385517$ |
$152461584507448/322998046875$ |
$1.01781$ |
$5.12144$ |
$[0, -1, 0, 436280, 180782932]$ |
\(y^2=x^3-x^2+436280x+180782932\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0.bb.1, 56.12.0-4.c.1.1, $\ldots$ |
$[(1244, 51450)]$ |
23520.p1 |
23520bl4 |
23520.p |
23520bl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$2.577843$ |
$7347751505995469192/72930375$ |
$1.03884$ |
$6.09548$ |
$[0, -1, 0, -15876800, 24354934500]$ |
\(y^2=x^3-x^2-15876800x+24354934500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
23520.p2 |
23520bl3 |
23520.p |
23520bl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{3} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.577843$ |
$5276930158229192/3050936350875$ |
$1.12642$ |
$5.37632$ |
$[0, -1, 0, -1421800, 20383000]$ |
\(y^2=x^3-x^2-1421800x+20383000\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 168.24.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
23520.p3 |
23520bl1 |
23520.p |
23520bl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.231270$ |
$14383655824793536/45209390625$ |
$1.02661$ |
$5.26935$ |
$[0, -1, 0, -993050, 380190000]$ |
\(y^2=x^3-x^2-993050x+380190000\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 120.24.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
23520.p4 |
23520bl2 |
23520.p |
23520bl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{12} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$737280$ |
$2.577843$ |
$-43927191786304/415283203125$ |
$1.04567$ |
$5.39059$ |
$[0, -1, 0, -576305, 701333697]$ |
\(y^2=x^3-x^2-576305x+701333697\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 84.24.0.?, 120.24.0.?, 280.24.0.?, $\ldots$ |
$[]$ |