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 |
29400.a1 |
29400cz1 |
29400.a |
29400cz |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.839960286$ |
$1$ |
|
$4$ |
$18432$ |
$0.551417$ |
$-7168/27$ |
$0.94787$ |
$2.91455$ |
$[0, -1, 0, -233, 3837]$ |
\(y^2=x^3-x^2-233x+3837\) |
6.2.0.a.1 |
$[(7, 50)]$ |
29400.b1 |
29400u1 |
29400.b |
29400u |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.252508$ |
$197723452/375$ |
$1.03060$ |
$4.03627$ |
$[0, -1, 0, -21408, 1210812]$ |
\(y^2=x^3-x^2-21408x+1210812\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |
29400.b2 |
29400u2 |
29400.b |
29400u |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{12} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.599081$ |
$-30138446/140625$ |
$1.08256$ |
$4.13505$ |
$[0, -1, 0, -14408, 2008812]$ |
\(y^2=x^3-x^2-14408x+2008812\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
29400.c1 |
29400bc1 |
29400.c |
29400bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.549213498$ |
$1$ |
|
$2$ |
$78624$ |
$1.330334$ |
$-8780800/2187$ |
$1.06525$ |
$3.88817$ |
$[0, -1, 0, -11433, -558963]$ |
\(y^2=x^3-x^2-11433x-558963\) |
6.2.0.a.1 |
$[(161, 1322)]$ |
29400.d1 |
29400c1 |
29400.d |
29400c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.645648904$ |
$1$ |
|
$2$ |
$322560$ |
$1.853291$ |
$-43061200/2187$ |
$0.96958$ |
$4.57640$ |
$[0, -1, 0, -132708, 19451412]$ |
\(y^2=x^3-x^2-132708x+19451412\) |
6.2.0.a.1 |
$[(293, 2374)]$ |
29400.e1 |
29400dp1 |
29400.e |
29400dp |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$451584$ |
$2.021526$ |
$-43061200/2187$ |
$0.96958$ |
$4.77262$ |
$[0, -1, 0, -260108, -53166588]$ |
\(y^2=x^3-x^2-260108x-53166588\) |
6.2.0.a.1 |
$[]$ |
29400.f1 |
29400do1 |
29400.f |
29400do |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.137526181$ |
$1$ |
|
$24$ |
$64512$ |
$1.085695$ |
$-324179200/63$ |
$0.92571$ |
$3.93468$ |
$[0, -1, 0, -15108, 719937]$ |
\(y^2=x^3-x^2-15108x+719937\) |
14.2.0.a.1 |
$[(117, 735), (68, 49)]$ |
29400.g1 |
29400t1 |
29400.g |
29400t |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.603705242$ |
$1$ |
|
$14$ |
$9216$ |
$0.214134$ |
$1280/729$ |
$1.06119$ |
$2.51484$ |
$[0, -1, 0, 12, 477]$ |
\(y^2=x^3-x^2+12x+477\) |
14.2.0.a.1 |
$[(6, 27), (33, 189)]$ |
29400.h1 |
29400dn1 |
29400.h |
29400dn |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.991808$ |
$1280/729$ |
$1.06119$ |
$4.58818$ |
$[0, -1, 0, 14292, -20624463]$ |
\(y^2=x^3-x^2+14292x-20624463\) |
14.2.0.a.1 |
$[]$ |
29400.i1 |
29400r6 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.710590$ |
$62161150998242/1607445$ |
$0.99458$ |
$5.90134$ |
$[0, -1, 0, -12838408, 17709656812]$ |
\(y^2=x^3-x^2-12838408x+17709656812\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 40.48.0-40.bp.1.11, 48.48.0-48.e.1.4, $\ldots$ |
$[]$ |
29400.i2 |
29400r4 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.364014$ |
$34008619684/4862025$ |
$0.94251$ |
$5.10397$ |
$[0, -1, 0, -833408, 254386812]$ |
\(y^2=x^3-x^2-833408x+254386812\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.25, 40.48.0-40.e.1.15, $\ldots$ |
$[]$ |
29400.i3 |
29400r2 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$2.017441$ |
$2533446736/275625$ |
$0.90007$ |
$4.71681$ |
$[0, -1, 0, -220908, -35938188]$ |
\(y^2=x^3-x^2-220908x-35938188\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.1.11, 40.48.0-40.l.1.14, $\ldots$ |
$[]$ |
29400.i4 |
29400r1 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.670868$ |
$37256083456/525$ |
$0.96058$ |
$4.70861$ |
$[0, -1, 0, -214783, -38241188]$ |
\(y^2=x^3-x^2-214783x-38241188\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 42.6.0.a.1, 48.48.0-48.e.2.12, $\ldots$ |
$[]$ |
29400.i5 |
29400r3 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.364014$ |
$1486779836/8203125$ |
$0.96171$ |
$5.00814$ |
$[0, -1, 0, 293592, -178969188]$ |
\(y^2=x^3-x^2+293592x-178969188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.bz.2, $\ldots$ |
$[]$ |
29400.i6 |
29400r5 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.710590$ |
$75798394558/259416045$ |
$0.98842$ |
$5.40397$ |
$[0, -1, 0, 1371592, 1370116812]$ |
\(y^2=x^3-x^2+1371592x+1370116812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 24.24.0.bz.1, $\ldots$ |
$[]$ |
29400.j1 |
29400q4 |
29400.j |
29400q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.053387$ |
$10262905636/13125$ |
$1.09479$ |
$4.98752$ |
$[0, -1, 0, -559008, -160505988]$ |
\(y^2=x^3-x^2-559008x-160505988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$ |
$[]$ |
29400.j2 |
29400q3 |
29400.j |
29400q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.053387$ |
$4108974916/36015$ |
$0.91688$ |
$4.89855$ |
$[0, -1, 0, -412008, 101154012]$ |
\(y^2=x^3-x^2-412008x+101154012\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
29400.j3 |
29400q2 |
29400.j |
29400q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.706814$ |
$20720464/11025$ |
$0.88986$ |
$4.24968$ |
$[0, -1, 0, -44508, -1010988]$ |
\(y^2=x^3-x^2-44508x-1010988\) |
2.6.0.a.1, 12.12.0-2.a.1.2, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 60.24.0-60.a.1.7, $\ldots$ |
$[]$ |
29400.j4 |
29400q1 |
29400.j |
29400q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.360239$ |
$4499456/2835$ |
$0.91566$ |
$3.83177$ |
$[0, -1, 0, 10617, -128988]$ |
\(y^2=x^3-x^2+10617x-128988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.5, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
29400.k1 |
29400cv1 |
29400.k |
29400cv |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.616765934$ |
$1$ |
|
$6$ |
$18432$ |
$0.743799$ |
$-6288640/567$ |
$0.83142$ |
$3.25268$ |
$[0, -1, 0, -1388, -20943]$ |
\(y^2=x^3-x^2-1388x-20943\) |
14.2.0.a.1 |
$[(68, 441)]$ |
29400.l1 |
29400dm1 |
29400.l |
29400dm |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$2.505375$ |
$69683121920/110270727$ |
$0.99318$ |
$5.13585$ |
$[0, -1, 0, 773792, -345298463]$ |
\(y^2=x^3-x^2+773792x-345298463\) |
14.2.0.a.1 |
$[]$ |
29400.m1 |
29400ct1 |
29400.m |
29400ct |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{7} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$3.611526448$ |
$1$ |
|
$5$ |
$645120$ |
$2.439606$ |
$7033666972/1215$ |
$0.96265$ |
$5.51819$ |
$[0, -1, 0, -3450008, 2467266012]$ |
\(y^2=x^3-x^2-3450008x+2467266012\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(1057, 650)]$ |
29400.m2 |
29400ct2 |
29400.m |
29400ct |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{8} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$7.223052896$ |
$1$ |
|
$3$ |
$1290240$ |
$2.786182$ |
$-2568731006/1476225$ |
$0.97595$ |
$5.55469$ |
$[0, -1, 0, -3107008, 2976964012]$ |
\(y^2=x^3-x^2-3107008x+2976964012\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(14777, 1784250)]$ |
29400.n1 |
29400l1 |
29400.n |
29400l |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3 \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.811502$ |
$-1250/21$ |
$0.95840$ |
$3.21245$ |
$[0, -1, 0, -408, -17268]$ |
\(y^2=x^3-x^2-408x-17268\) |
168.2.0.? |
$[]$ |
29400.o1 |
29400dl1 |
29400.o |
29400dl |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 7^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.657575976$ |
$1$ |
|
$14$ |
$23040$ |
$0.633030$ |
$560/3$ |
$0.70666$ |
$2.98885$ |
$[0, -1, 0, 292, 5412]$ |
\(y^2=x^3-x^2+292x+5412\) |
6.2.0.a.1 |
$[(-8, 50), (142, 1700)]$ |
29400.p1 |
29400b1 |
29400.p |
29400b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.353688375$ |
$1$ |
|
$2$ |
$32256$ |
$0.801267$ |
$560/3$ |
$0.70666$ |
$3.18507$ |
$[0, -1, 0, 572, -15308]$ |
\(y^2=x^3-x^2+572x-15308\) |
6.2.0.a.1 |
$[(33, 196)]$ |
29400.q1 |
29400cs1 |
29400.q |
29400cs |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$45.05631211$ |
$1$ |
|
$0$ |
$1935360$ |
$3.093170$ |
$-90888126966784/16875$ |
$1.05816$ |
$6.49268$ |
$[0, -1, 0, -97560633, -370870269363]$ |
\(y^2=x^3-x^2-97560633x-370870269363\) |
6.2.0.a.1 |
$[(246846666883364499287/146708239, 430957538100163203947348805350/146708239)]$ |
29400.r1 |
29400k1 |
29400.r |
29400k |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.042992$ |
$358400/243$ |
$1.00089$ |
$3.45505$ |
$[0, -1, 0, 2917, -26088]$ |
\(y^2=x^3-x^2+2917x-26088\) |
6.2.0.a.1 |
$[]$ |
29400.s1 |
29400dc1 |
29400.s |
29400dc |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.657340881$ |
$1$ |
|
$2$ |
$40320$ |
$1.211227$ |
$358400/243$ |
$1.00089$ |
$3.65127$ |
$[0, -1, 0, 5717, 67012]$ |
\(y^2=x^3-x^2+5717x+67012\) |
6.2.0.a.1 |
$[(33, 539)]$ |
29400.t1 |
29400g1 |
29400.t |
29400g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 5^{13} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1128960$ |
$2.664036$ |
$649381163998/373669453125$ |
$1.10486$ |
$5.37222$ |
$[0, -1, 0, 209592, -1164079188]$ |
\(y^2=x^3-x^2+209592x-1164079188\) |
40.2.0.a.1 |
$[]$ |
29400.u1 |
29400de1 |
29400.u |
29400de |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$204288$ |
$1.799393$ |
$-2390122/81$ |
$0.94079$ |
$4.53464$ |
$[0, -1, 0, -116048, 15694092]$ |
\(y^2=x^3-x^2-116048x+15694092\) |
40.2.0.a.1 |
$[]$ |
29400.v1 |
29400x1 |
29400.v |
29400x |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{9} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145920$ |
$1.631157$ |
$-2390122/81$ |
$0.94079$ |
$4.33842$ |
$[0, -1, 0, -59208, -5685588]$ |
\(y^2=x^3-x^2-59208x-5685588\) |
40.2.0.a.1 |
$[]$ |
29400.w1 |
29400f1 |
29400.w |
29400f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.234575$ |
$-88218880/413343$ |
$0.94844$ |
$3.70989$ |
$[0, -1, 0, -3348, -223803]$ |
\(y^2=x^3-x^2-3348x-223803\) |
14.2.0.a.1 |
$[]$ |
29400.x1 |
29400e2 |
29400.x |
29400e |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.938366$ |
$665500/81$ |
$0.94923$ |
$4.61762$ |
$[0, -1, 0, -157208, -21267588]$ |
\(y^2=x^3-x^2-157208x-21267588\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? |
$[]$ |
29400.x2 |
29400e1 |
29400.x |
29400e |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.591793$ |
$2000/9$ |
$0.88823$ |
$4.10441$ |
$[0, -1, 0, 14292, -1716588]$ |
\(y^2=x^3-x^2+14292x-1716588\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 12.12.0.o.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
29400.y1 |
29400w1 |
29400.y |
29400w |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$1.926136$ |
$93170/9$ |
$0.82506$ |
$4.61762$ |
$[0, -1, 0, -157208, 21950412]$ |
\(y^2=x^3-x^2-157208x+21950412\) |
8.2.0.b.1 |
$[]$ |
29400.z1 |
29400cq1 |
29400.z |
29400cq |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1.531945709$ |
$1$ |
|
$2$ |
$5760$ |
$0.148462$ |
$93170/9$ |
$0.82506$ |
$2.54428$ |
$[0, -1, 0, -128, -468]$ |
\(y^2=x^3-x^2-128x-468\) |
8.2.0.b.1 |
$[(-7, 6)]$ |
29400.ba1 |
29400co1 |
29400.ba |
29400co |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.000420549$ |
$1$ |
|
$7$ |
$18432$ |
$0.775471$ |
$2725888/675$ |
$0.90162$ |
$3.21567$ |
$[0, -1, 0, -1283, 13812]$ |
\(y^2=x^3-x^2-1283x+13812\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(37, 125)]$ |
29400.ba2 |
29400co2 |
29400.ba |
29400co |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.500210274$ |
$1$ |
|
$11$ |
$36864$ |
$1.122044$ |
$2382032/3645$ |
$0.88554$ |
$3.52037$ |
$[0, -1, 0, 3092, 83812]$ |
\(y^2=x^3-x^2+3092x+83812\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(12, 350)]$ |
29400.bb1 |
29400cp4 |
29400.bb |
29400cp |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.641089769$ |
$1$ |
|
$3$ |
$589824$ |
$2.390148$ |
$5633270409316/14175$ |
$0.97610$ |
$5.60061$ |
$[0, -1, 0, -4577008, 3770470012]$ |
\(y^2=x^3-x^2-4577008x+3770470012\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 28.12.0.h.1, $\ldots$ |
$[(1318, 5076)]$ |
29400.bb2 |
29400cp3 |
29400.bb |
29400cp |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{14} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.641089769$ |
$1$ |
|
$3$ |
$589824$ |
$2.390148$ |
$30534944836/8203125$ |
$0.94823$ |
$5.09350$ |
$[0, -1, 0, -804008, -202841988]$ |
\(y^2=x^3-x^2-804008x-202841988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[(-282, 1176)]$ |
29400.bb3 |
29400cp2 |
29400.bb |
29400cp |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1.820544884$ |
$1$ |
|
$9$ |
$294912$ |
$2.043575$ |
$5702413264/275625$ |
$0.90690$ |
$4.79567$ |
$[0, -1, 0, -289508, 57495012]$ |
\(y^2=x^3-x^2-289508x+57495012\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.3, $\ldots$ |
$[(12, 7350)]$ |
29400.bb4 |
29400cp1 |
29400.bb |
29400cp |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.641089769$ |
$1$ |
|
$3$ |
$147456$ |
$1.697001$ |
$4499456/180075$ |
$0.98678$ |
$4.24211$ |
$[0, -1, 0, 10617, 3472512]$ |
\(y^2=x^3-x^2+10617x+3472512\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(97, 2325)]$ |
29400.bc1 |
29400cm1 |
29400.bc |
29400cm |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.127764971$ |
$1$ |
|
$2$ |
$101376$ |
$1.552191$ |
$3272428544/4428675$ |
$1.10937$ |
$4.01351$ |
$[0, -1, 0, 17967, 1066437]$ |
\(y^2=x^3-x^2+17967x+1066437\) |
6.2.0.a.1 |
$[(107, 2050)]$ |
29400.bd1 |
29400v1 |
29400.bd |
29400v |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{19} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$547200$ |
$2.476219$ |
$-46028377077760/1162261467$ |
$1.08808$ |
$5.33930$ |
$[0, -1, 0, -1841583, -982059588]$ |
\(y^2=x^3-x^2-1841583x-982059588\) |
6.2.0.a.1 |
$[]$ |
29400.be1 |
29400cl1 |
29400.be |
29400cl |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{19} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$11.91077267$ |
$1$ |
|
$0$ |
$766080$ |
$2.644455$ |
$-46028377077760/1162261467$ |
$1.08808$ |
$5.53552$ |
$[0, -1, 0, -3609503, 2697659112]$ |
\(y^2=x^3-x^2-3609503x+2697659112\) |
6.2.0.a.1 |
$[(114949/13, 51841061/13)]$ |
29400.bf1 |
29400ck1 |
29400.bf |
29400ck |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$44.33637825$ |
$1$ |
|
$0$ |
$887040$ |
$2.576649$ |
$-8318750/27$ |
$1.05913$ |
$5.55673$ |
$[0, -1, 0, -3930208, -3006053588]$ |
\(y^2=x^3-x^2-3930208x-3006053588\) |
168.2.0.? |
$[(257378796076472442693/257324401, 3425996173160638602571788748076/257324401)]$ |
29400.bg1 |
29400z1 |
29400.bg |
29400z |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.839497020$ |
$1$ |
|
$2$ |
$25344$ |
$0.798976$ |
$-8318750/27$ |
$1.05913$ |
$3.48339$ |
$[0, -1, 0, -3208, 71212]$ |
\(y^2=x^3-x^2-3208x+71212\) |
168.2.0.? |
$[(33, 14)]$ |
29400.bh1 |
29400ba2 |
29400.bh |
29400ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$7.480965914$ |
$1$ |
|
$1$ |
$100352$ |
$1.567610$ |
$4496182/9$ |
$0.92827$ |
$4.40140$ |
$[0, -1, 0, -74888, -7849428]$ |
\(y^2=x^3-x^2-74888x-7849428\) |
2.3.0.a.1, 24.6.0.i.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-3819/5, 6096/5)]$ |
29400.bh2 |
29400ba1 |
29400.bh |
29400ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$3.740482957$ |
$1$ |
|
$3$ |
$50176$ |
$1.221037$ |
$5324/3$ |
$0.92882$ |
$3.67906$ |
$[0, -1, 0, -6288, -29028]$ |
\(y^2=x^3-x^2-6288x-29028\) |
2.3.0.a.1, 24.6.0.i.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(-43, 400)]$ |