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 |
89280.a1 |
89280bj1 |
89280.a |
89280bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5 \cdot 31 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.448859639$ |
$1$ |
|
$18$ |
$71680$ |
$0.632805$ |
$-941192/465$ |
$0.82349$ |
$2.75108$ |
$[0, 0, 0, -588, 7472]$ |
\(y^2=x^3-588x+7472\) |
3720.2.0.? |
$[(22, 72), (-26, 72)]$ |
89280.b1 |
89280i1 |
89280.b |
89280i |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{23} \cdot 3^{9} \cdot 5 \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$7.286824371$ |
$1$ |
|
$2$ |
$9676800$ |
$3.018658$ |
$-28485240894685827/4402018257760$ |
$1.07217$ |
$5.30627$ |
$[0, 0, 0, -10994508, 15794537328]$ |
\(y^2=x^3-10994508x+15794537328\) |
3720.2.0.? |
$[(7101, 543861)]$ |
89280.c1 |
89280dl1 |
89280.c |
89280dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3^{9} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$2.158541896$ |
$1$ |
|
$5$ |
$110592$ |
$1.102142$ |
$1860867/620$ |
$0.82565$ |
$3.22827$ |
$[0, 0, 0, -4428, 73872]$ |
\(y^2=x^3-4428x+73872\) |
2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[(82, 512)]$ |
89280.c2 |
89280dl2 |
89280.c |
89280dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1.079270948$ |
$1$ |
|
$7$ |
$221184$ |
$1.448715$ |
$45499293/48050$ |
$0.90596$ |
$3.50868$ |
$[0, 0, 0, 12852, 509328]$ |
\(y^2=x^3+12852x+509328\) |
2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.? |
$[(18, 864)]$ |
89280.d1 |
89280el2 |
89280.d |
89280el |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3^{6} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$5.304927571$ |
$1$ |
|
$3$ |
$196608$ |
$1.173424$ |
$1948441249/4805$ |
$0.86747$ |
$3.54915$ |
$[0, 0, 0, -14988, -704752]$ |
\(y^2=x^3-14988x-704752\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[(332, 5560)]$ |
89280.d2 |
89280el1 |
89280.d |
89280el |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$2.652463785$ |
$1$ |
|
$5$ |
$98304$ |
$0.826850$ |
$-117649/775$ |
$0.89386$ |
$2.91767$ |
$[0, 0, 0, -588, -19312]$ |
\(y^2=x^3-588x-19312\) |
2.3.0.a.1, 20.6.0.c.1, 62.6.0.b.1, 620.12.0.? |
$[(44, 200)]$ |
89280.e1 |
89280ek2 |
89280.e |
89280ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$0.900204889$ |
$1$ |
|
$7$ |
$98304$ |
$0.829312$ |
$17173512/4805$ |
$0.85733$ |
$2.95168$ |
$[0, 0, 0, -1548, -16848]$ |
\(y^2=x^3-1548x-16848\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[(-18, 72)]$ |
89280.e2 |
89280ek1 |
89280.e |
89280ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1.800409779$ |
$1$ |
|
$5$ |
$49152$ |
$0.482739$ |
$592704/775$ |
$0.75763$ |
$2.49419$ |
$[0, 0, 0, 252, -1728]$ |
\(y^2=x^3+252x-1728\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[(16, 80)]$ |
89280.f1 |
89280bu1 |
89280.f |
89280bu |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$15.25471307$ |
$1$ |
|
$0$ |
$69120$ |
$0.749340$ |
$-449511424/155$ |
$0.89260$ |
$3.17732$ |
$[0, 0, 0, -3648, -84832]$ |
\(y^2=x^3-3648x-84832\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 310.2.0.?, 930.8.0.?, 3720.16.0.? |
$[(3524017/141, 6165699175/141)]$ |
89280.f2 |
89280bu2 |
89280.f |
89280bu |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$5.084904358$ |
$1$ |
|
$2$ |
$207360$ |
$1.298647$ |
$87228416/3723875$ |
$0.99928$ |
$3.40953$ |
$[0, 0, 0, 2112, -318688]$ |
\(y^2=x^3+2112x-318688\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 310.2.0.?, 930.8.0.?, 3720.16.0.? |
$[(1553, 61225)]$ |
89280.g1 |
89280bv4 |
89280.g |
89280bv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$6.235362186$ |
$1$ |
|
$1$ |
$2654208$ |
$2.518250$ |
$947226559343329/443751840500$ |
$0.99256$ |
$4.69781$ |
$[0, 0, 0, -1178508, -214914832]$ |
\(y^2=x^3-1178508x-214914832\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.11, $\ldots$ |
$[(94408/3, 28849220/3)]$ |
89280.g2 |
89280bv2 |
89280.g |
89280bv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{24} \cdot 3^{6} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$18.70608656$ |
$1$ |
|
$1$ |
$884736$ |
$1.968943$ |
$549131937598369/307520$ |
$0.96644$ |
$4.64999$ |
$[0, 0, 0, -982668, -374936848]$ |
\(y^2=x^3-982668x-374936848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.3, $\ldots$ |
$[(188132008/369, 1511525042020/369)]$ |
89280.g3 |
89280bv1 |
89280.g |
89280bv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{30} \cdot 3^{6} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$9.353043280$ |
$1$ |
|
$1$ |
$442368$ |
$1.622370$ |
$-131794519969/3174400$ |
$0.90964$ |
$3.92241$ |
$[0, 0, 0, -61068, -5928208]$ |
\(y^2=x^3-61068x-5928208\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 24.24.0-6.a.1.3, $\ldots$ |
$[(39976/9, 6687100/9)]$ |
89280.g4 |
89280bv3 |
89280.g |
89280bv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{6} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$3.117681093$ |
$1$ |
|
$3$ |
$1327104$ |
$2.171677$ |
$10347405816671/7447750000$ |
$0.97053$ |
$4.30159$ |
$[0, 0, 0, 261492, -25410832]$ |
\(y^2=x^3+261492x-25410832\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 24.24.0-6.a.1.11, $\ldots$ |
$[(10462, 1071360)]$ |
89280.h1 |
89280h2 |
89280.h |
89280h |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$10.24543482$ |
$1$ |
|
$1$ |
$516096$ |
$1.750698$ |
$113511836214/484375$ |
$0.90876$ |
$4.13405$ |
$[0, 0, 0, -138348, -19733328]$ |
\(y^2=x^3-138348x-19733328\) |
2.3.0.a.1, 60.6.0.c.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[(22789/5, 3091337/5)]$ |
89280.h2 |
89280h1 |
89280.h |
89280h |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{3} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$5.122717413$ |
$1$ |
|
$3$ |
$258048$ |
$1.404125$ |
$-7443468/120125$ |
$0.86840$ |
$3.52331$ |
$[0, 0, 0, -4428, -609552]$ |
\(y^2=x^3-4428x-609552\) |
2.3.0.a.1, 30.6.0.a.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[(877, 25885)]$ |
89280.i1 |
89280bi1 |
89280.i |
89280bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 31^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$5.101987769$ |
$1$ |
|
$11$ |
$92160$ |
$0.791632$ |
$212629504/120125$ |
$0.91990$ |
$2.86838$ |
$[0, 0, 0, -1128, 2248]$ |
\(y^2=x^3-1128x+2248\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[(33, 31), (-7, 99)]$ |
89280.i2 |
89280bi2 |
89280.i |
89280bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$5.101987769$ |
$1$ |
|
$13$ |
$184320$ |
$1.138205$ |
$817036976/484375$ |
$0.89899$ |
$3.22969$ |
$[0, 0, 0, 4452, 17872]$ |
\(y^2=x^3+4452x+17872\) |
2.3.0.a.1, 20.6.0.c.1, 62.6.0.b.1, 620.12.0.? |
$[(14, 288), (158, 2160)]$ |
89280.j1 |
89280ex4 |
89280.j |
89280ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{19} \cdot 3^{10} \cdot 5^{3} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.319611$ |
$383432500775449/18701300250$ |
$1.08110$ |
$4.61848$ |
$[0, 0, 0, -871788, -299809712]$ |
\(y^2=x^3-871788x-299809712\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
89280.j2 |
89280ex2 |
89280.j |
89280ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$884736$ |
$1.973038$ |
$2023804595449/540562500$ |
$0.94018$ |
$4.15844$ |
$[0, 0, 0, -151788, 16702288]$ |
\(y^2=x^3-151788x+16702288\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
89280.j3 |
89280ex1 |
89280.j |
89280ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{3} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.626463$ |
$1597099875769/186000$ |
$0.92887$ |
$4.13767$ |
$[0, 0, 0, -140268, 20218192]$ |
\(y^2=x^3-140268x+20218192\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
89280.j4 |
89280ex3 |
89280.j |
89280ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{12} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.319611$ |
$32740359775271/45410156250$ |
$0.97141$ |
$4.43194$ |
$[0, 0, 0, 383892, 108196432]$ |
\(y^2=x^3+383892x+108196432\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
89280.k1 |
89280dd2 |
89280.k |
89280dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$0.729361$ |
$7692038424/775$ |
$0.96443$ |
$3.19807$ |
$[0, 0, 0, -3948, -95472]$ |
\(y^2=x^3-3948x-95472\) |
2.3.0.a.1, 60.6.0.c.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
89280.k2 |
89280dd1 |
89280.k |
89280dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.382787$ |
$-11852352/4805$ |
$0.95753$ |
$2.49419$ |
$[0, 0, 0, -228, -1728]$ |
\(y^2=x^3-228x-1728\) |
2.3.0.a.1, 30.6.0.a.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
89280.l1 |
89280eu1 |
89280.l |
89280eu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{21} \cdot 3^{9} \cdot 5^{13} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7188480$ |
$2.906223$ |
$-1354547383894636849/8173828125000$ |
$1.00308$ |
$5.33607$ |
$[0, 0, 0, -13277388, 18718439312]$ |
\(y^2=x^3-13277388x+18718439312\) |
3720.2.0.? |
$[]$ |
89280.m1 |
89280bs1 |
89280.m |
89280bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{5} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$2.071373848$ |
$1$ |
|
$2$ |
$552960$ |
$1.885298$ |
$-932288503609/148800000$ |
$0.92916$ |
$4.11182$ |
$[0, 0, 0, -117228, 17449648]$ |
\(y^2=x^3-117228x+17449648\) |
3720.2.0.? |
$[(102, 2560)]$ |
89280.n1 |
89280f1 |
89280.n |
89280f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.666689164$ |
$1$ |
|
$4$ |
$55296$ |
$0.587746$ |
$-19683/1240$ |
$0.90467$ |
$2.66320$ |
$[0, 0, 0, -108, 4528]$ |
\(y^2=x^3-108x+4528\) |
3720.2.0.? |
$[(6, 64)]$ |
89280.o1 |
89280bf2 |
89280.o |
89280bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1.911505377$ |
$1$ |
|
$17$ |
$491520$ |
$1.742453$ |
$31942518433489/27900$ |
$0.94953$ |
$4.40047$ |
$[0, 0, 0, -380748, 90428272]$ |
\(y^2=x^3-380748x+90428272\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(366, 320), (341, 495)]$ |
89280.o2 |
89280bf1 |
89280.o |
89280bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{22} \cdot 3^{7} \cdot 5 \cdot 31^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1.911505377$ |
$1$ |
|
$15$ |
$245760$ |
$1.395878$ |
$-7633736209/230640$ |
$0.88317$ |
$3.67340$ |
$[0, 0, 0, -23628, 1433968]$ |
\(y^2=x^3-23628x+1433968\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(8, 1116), (78, 256)]$ |
89280.p1 |
89280be2 |
89280.p |
89280be |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$3.227779450$ |
$1$ |
|
$15$ |
$196608$ |
$1.364576$ |
$25285452196/564975$ |
$1.03234$ |
$3.65239$ |
$[0, 0, 0, -22188, -1247312]$ |
\(y^2=x^3-22188x-1247312\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(-82, 144), (-91, 135)]$ |
89280.p2 |
89280be1 |
89280.p |
89280be |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5 \cdot 31^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$3.227779450$ |
$1$ |
|
$15$ |
$98304$ |
$1.018003$ |
$21296/129735$ |
$0.94242$ |
$3.11623$ |
$[0, 0, 0, 132, -59888]$ |
\(y^2=x^3+132x-59888\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(62, 432), (69, 527)]$ |
89280.q1 |
89280br2 |
89280.q |
89280br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1.493361167$ |
$1$ |
|
$7$ |
$196608$ |
$1.456366$ |
$16662038116/4359375$ |
$0.88626$ |
$3.61580$ |
$[0, 0, 0, -19308, -764368]$ |
\(y^2=x^3-19308x-764368\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(-98, 432)]$ |
89280.q2 |
89280br1 |
89280.q |
89280br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$2.986722334$ |
$1$ |
|
$5$ |
$98304$ |
$1.109793$ |
$253012016/360375$ |
$0.83869$ |
$3.16013$ |
$[0, 0, 0, 3012, -76912]$ |
\(y^2=x^3+3012x-76912\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(38, 304)]$ |
89280.r1 |
89280eg4 |
89280.r |
89280eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{6} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$41.95445931$ |
$1$ |
|
$1$ |
$13271040$ |
$3.394344$ |
$28379906689597370652529/1357352437500$ |
$1.03569$ |
$6.20800$ |
$[0, 0, 0, -366031308, -2695413792368]$ |
\(y^2=x^3-366031308x-2695413792368\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.t.1, $\ldots$ |
$[(35010131560460097596/39000365, 61480385412099398915188121856/39000365)]$ |
89280.r2 |
89280eg3 |
89280.r |
89280eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$20.97722965$ |
$1$ |
|
$1$ |
$6635520$ |
$3.047771$ |
$-6894246873502147249/47925198774000$ |
$1.00931$ |
$5.47895$ |
$[0, 0, 0, -22838988, -42262604912]$ |
\(y^2=x^3-22838988x-42262604912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$ |
$[(113658340322/3149, 34231600066314240/3149)]$ |
89280.r3 |
89280eg2 |
89280.r |
89280eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{24} \cdot 3^{24} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$13.98481977$ |
$1$ |
|
$1$ |
$4423680$ |
$2.845039$ |
$68663623745397169/19216056254400$ |
$1.06957$ |
$5.07357$ |
$[0, 0, 0, -4913868, -3012858992]$ |
\(y^2=x^3-4913868x-3012858992\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.t.1, $\ldots$ |
$[(-3597271/64, 6555199275/64)]$ |
89280.r4 |
89280eg1 |
89280.r |
89280eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{30} \cdot 3^{15} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$96$ |
$1$ |
$6.992409885$ |
$1$ |
|
$1$ |
$2211840$ |
$2.498466$ |
$296354077829711/387386634240$ |
$1.14724$ |
$4.61607$ |
$[0, 0, 0, 800052, -309032048]$ |
\(y^2=x^3+800052x-309032048\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0.b.1, $\ldots$ |
$[(419324/5, 271911168/5)]$ |
89280.s1 |
89280l2 |
89280.s |
89280l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{10} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$696320$ |
$1.809782$ |
$168690711527064/9384765625$ |
$0.99914$ |
$4.07492$ |
$[0, 0, 0, -110508, 13442832]$ |
\(y^2=x^3-110508x+13442832\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
89280.s2 |
89280l1 |
89280.s |
89280l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{5} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$348160$ |
$1.463209$ |
$111423515328/2886003125$ |
$1.04631$ |
$3.58163$ |
$[0, 0, 0, 4812, 849888]$ |
\(y^2=x^3+4812x+849888\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
89280.t1 |
89280bp1 |
89280.t |
89280bp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{19} \cdot 5^{3} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1.489174283$ |
$1$ |
|
$2$ |
$1357824$ |
$2.314438$ |
$-46974761601263432/6178001625$ |
$0.97888$ |
$4.85787$ |
$[0, 0, 0, -2164908, 1226186768]$ |
\(y^2=x^3-2164908x+1226186768\) |
3720.2.0.? |
$[(256, 26244)]$ |
89280.u1 |
89280er1 |
89280.u |
89280er |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{41} \cdot 3^{17} \cdot 5^{3} \cdot 31^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$139898880$ |
$4.523895$ |
$-124427822010671478697670089/5317924709672681472000$ |
$1.05646$ |
$6.94988$ |
$[0, 0, 0, -5990831148, 184948647339472]$ |
\(y^2=x^3-5990831148x+184948647339472\) |
3720.2.0.? |
$[]$ |
89280.v1 |
89280k1 |
89280.v |
89280k |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{5} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$199680$ |
$1.334482$ |
$106496424/96875$ |
$0.88735$ |
$3.40087$ |
$[0, 0, 0, 8532, 229392]$ |
\(y^2=x^3+8532x+229392\) |
3720.2.0.? |
$[]$ |
89280.w1 |
89280bd1 |
89280.w |
89280bd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{17} \cdot 3^{13} \cdot 5 \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$200704$ |
$1.302439$ |
$-909513218/338985$ |
$0.86226$ |
$3.46512$ |
$[0, 0, 0, -9228, 437488]$ |
\(y^2=x^3-9228x+437488\) |
3720.2.0.? |
$[]$ |
89280.x1 |
89280d1 |
89280.x |
89280d |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{3} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$4.199351802$ |
$1$ |
|
$2$ |
$67584$ |
$0.848007$ |
$-2713144086/3875$ |
$0.91341$ |
$3.22848$ |
$[0, 0, 0, -4428, -113552]$ |
\(y^2=x^3-4428x-113552\) |
3720.2.0.? |
$[(77, 45)]$ |
89280.y1 |
89280j2 |
89280.y |
89280j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{39} \cdot 3^{9} \cdot 5 \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1161216$ |
$2.217678$ |
$-1482713947827/325058560$ |
$0.94513$ |
$4.44845$ |
$[0, 0, 0, -410508, -118873872]$ |
\(y^2=x^3-410508x-118873872\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1860.8.0.?, 3720.16.0.? |
$[]$ |
89280.y2 |
89280j1 |
89280.y |
89280j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{25} \cdot 3^{3} \cdot 5^{3} \cdot 31^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$1.668371$ |
$722458663317/476656000$ |
$0.97492$ |
$3.77896$ |
$[0, 0, 0, 35892, 979568]$ |
\(y^2=x^3+35892x+979568\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1860.8.0.?, 3720.16.0.? |
$[]$ |
89280.z1 |
89280bo2 |
89280.z |
89280bo |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{21} \cdot 3^{14} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$2.183756375$ |
$1$ |
|
$3$ |
$589824$ |
$1.891953$ |
$461710681489/252204840$ |
$0.96693$ |
$4.02881$ |
$[0, 0, 0, -92748, -2574992]$ |
\(y^2=x^3-92748x-2574992\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[(-178, 2880)]$ |
89280.z2 |
89280bo1 |
89280.z |
89280bo |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{24} \cdot 3^{10} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$4.367512750$ |
$1$ |
|
$3$ |
$294912$ |
$1.545378$ |
$6549699311/4017600$ |
$0.93394$ |
$3.65550$ |
$[0, 0, 0, 22452, -317072]$ |
\(y^2=x^3+22452x-317072\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[(264, 4900)]$ |
89280.ba1 |
89280ee2 |
89280.ba |
89280ee |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$248$ |
$12$ |
$0$ |
$1.150533940$ |
$1$ |
|
$7$ |
$172032$ |
$1.091732$ |
$3638052872/24025$ |
$0.85040$ |
$3.42151$ |
$[0, 0, 0, -9228, -339248]$ |
\(y^2=x^3-9228x-339248\) |
2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.? |
$[(-54, 40)]$ |
89280.ba2 |
89280ee1 |
89280.ba |
89280ee |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$248$ |
$12$ |
$0$ |
$2.301067880$ |
$1$ |
|
$5$ |
$86016$ |
$0.745158$ |
$-438976/19375$ |
$0.92233$ |
$2.82897$ |
$[0, 0, 0, -228, -11648]$ |
\(y^2=x^3-228x-11648\) |
2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.? |
$[(44, 252)]$ |