| 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 |
| 27456.a1 |
27456l2 |
27456.a |
27456l |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3 \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$0.893349$ |
$25128011089/245388$ |
$0.95435$ |
$3.56386$ |
$[0, -1, 0, -3905, -91839]$ |
\(y^2=x^3-x^2-3905x-91839\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[ ]$ |
| 27456.a2 |
27456l1 |
27456.a |
27456l |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{22} \cdot 3^{2} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.546776$ |
$-117649/20592$ |
$1.10162$ |
$2.92234$ |
$[0, -1, 0, -65, -3519]$ |
\(y^2=x^3-x^2-65x-3519\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[ ]$ |
| 27456.b1 |
27456bu2 |
27456.b |
27456bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.527626883$ |
$1$ |
|
$3$ |
$43008$ |
$0.908130$ |
$16148234224576/1146717$ |
$0.98872$ |
$3.78956$ |
$[0, -1, 0, -8425, -294839]$ |
\(y^2=x^3-x^2-8425x-294839\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(379, 7128)]$ |
| 27456.b2 |
27456bu1 |
27456.b |
27456bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.263813441$ |
$1$ |
|
$3$ |
$21504$ |
$0.561556$ |
$304006671424/66806883$ |
$1.15504$ |
$2.99395$ |
$[0, -1, 0, -560, -3834]$ |
\(y^2=x^3-x^2-560x-3834\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(-17, 22)]$ |
| 27456.c1 |
27456bt2 |
27456.c |
27456bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{3} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1.621381960$ |
$1$ |
|
$3$ |
$442368$ |
$2.120190$ |
$5538928862777598289/141343488$ |
$1.01026$ |
$5.44355$ |
$[0, -1, 0, -2359105, 1395448801]$ |
\(y^2=x^3-x^2-2359105x+1395448801\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(837, 2560)]$ |
| 27456.c2 |
27456bt1 |
27456.c |
27456bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{34} \cdot 3^{6} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$3.242763920$ |
$1$ |
|
$3$ |
$221184$ |
$1.773617$ |
$-1347365318848849/6831931392$ |
$0.97362$ |
$4.63021$ |
$[0, -1, 0, -147265, 21896161]$ |
\(y^2=x^3-x^2-147265x+21896161\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(232, 405)]$ |
| 27456.d1 |
27456e1 |
27456.d |
27456e |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{31} \cdot 3^{6} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$2.272826375$ |
$1$ |
|
$2$ |
$599040$ |
$2.456509$ |
$-124352595912593543977/103332962304$ |
$1.02112$ |
$5.74798$ |
$[0, -1, 0, -6655137, 6610430241]$ |
\(y^2=x^3-x^2-6655137x+6610430241\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 858.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(1491, 108)]$ |
| 27456.d2 |
27456e2 |
27456.d |
27456e |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{57} \cdot 3^{2} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$6.818479127$ |
$1$ |
|
$2$ |
$1797120$ |
$3.005817$ |
$-58169016237585194137/119573538788081664$ |
$1.03495$ |
$5.82193$ |
$[0, -1, 0, -5166177, 9644645601]$ |
\(y^2=x^3-x^2-5166177x+9644645601\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 858.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(435, 86484)]$ |
| 27456.e1 |
27456bo4 |
27456.e |
27456bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 3^{3} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$264$ |
$48$ |
$0$ |
$4.260230598$ |
$1$ |
|
$7$ |
$442368$ |
$2.227581$ |
$258252149810350513/1938176193096$ |
$1.04004$ |
$5.14360$ |
$[0, -1, 0, -849089, 299470689]$ |
\(y^2=x^3-x^2-849089x+299470689\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 264.48.0.? |
$[(-155, 20672)]$ |
| 27456.e2 |
27456bo2 |
27456.e |
27456bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.130115299$ |
$1$ |
|
$9$ |
$221184$ |
$1.881006$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.48077$ |
$[0, -1, 0, -88769, -2376351]$ |
\(y^2=x^3-x^2-88769x-2376351\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 132.24.0.?, 264.48.0.? |
$[(-40, 1053)]$ |
| 27456.e3 |
27456bo1 |
27456.e |
27456bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{30} \cdot 3^{3} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$264$ |
$48$ |
$0$ |
$4.260230598$ |
$1$ |
|
$1$ |
$110592$ |
$1.534431$ |
$134351465835313/205590528$ |
$0.96068$ |
$4.40378$ |
$[0, -1, 0, -68289, -6836895]$ |
\(y^2=x^3-x^2-68289x-6836895\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 66.6.0.a.1, 132.12.0.?, $\ldots$ |
$[(-611/2, 663/2)]$ |
| 27456.e4 |
27456bo3 |
27456.e |
27456bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{21} \cdot 3^{12} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$264$ |
$48$ |
$0$ |
$4.260230598$ |
$1$ |
|
$3$ |
$442368$ |
$2.227581$ |
$17154149157653327/10519679024712$ |
$1.02583$ |
$4.87828$ |
$[0, -1, 0, 343871, -19076255]$ |
\(y^2=x^3-x^2+343871x-19076255\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 264.48.0.? |
$[(6616, 540189)]$ |
| 27456.f1 |
27456c4 |
27456.f |
27456c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{8} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1144$ |
$48$ |
$0$ |
$2.547716027$ |
$1$ |
|
$5$ |
$24576$ |
$0.924817$ |
$807995051144/938223$ |
$0.90920$ |
$3.69998$ |
$[0, -1, 0, -6209, 190209]$ |
\(y^2=x^3-x^2-6209x+190209\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(51, 60)]$ |
| 27456.f2 |
27456c3 |
27456.f |
27456c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{2} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1144$ |
$48$ |
$0$ |
$2.547716027$ |
$1$ |
|
$5$ |
$24576$ |
$0.924817$ |
$297275150024/2827539$ |
$0.90048$ |
$3.60214$ |
$[0, -1, 0, -4449, -111807]$ |
\(y^2=x^3-x^2-4449x-111807\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[(-37, 28)]$ |
| 27456.f3 |
27456c2 |
27456.f |
27456c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1144$ |
$48$ |
$0$ |
$1.273858013$ |
$1$ |
|
$11$ |
$12288$ |
$0.578244$ |
$3163575232/1656369$ |
$0.90161$ |
$2.95418$ |
$[0, -1, 0, -489, 1449]$ |
\(y^2=x^3-x^2-489x+1449\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 52.12.0.a.1, 88.24.0.?, $\ldots$ |
$[(-1, 44)]$ |
| 27456.f4 |
27456c1 |
27456.f |
27456c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{6} \cdot 3^{2} \cdot 11^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1144$ |
$48$ |
$0$ |
$2.547716027$ |
$1$ |
|
$3$ |
$6144$ |
$0.231670$ |
$2674043072/1712997$ |
$0.90200$ |
$2.53081$ |
$[0, -1, 0, 116, 118]$ |
\(y^2=x^3-x^2+116x+118\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0.h.1, 88.24.0.?, $\ldots$ |
$[(3, 22)]$ |
| 27456.g1 |
27456q2 |
27456.g |
27456q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 3^{14} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$301056$ |
$2.008453$ |
$5718957389087906/1075876263891$ |
$0.98270$ |
$4.70298$ |
$[0, -1, 0, -189249, 26096193]$ |
\(y^2=x^3-x^2-189249x+26096193\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[ ]$ |
| 27456.g2 |
27456q1 |
27456.g |
27456q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{16} \cdot 3^{7} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$150528$ |
$1.661879$ |
$22494434350748/50367250791$ |
$0.96738$ |
$4.19640$ |
$[0, -1, 0, 23711, 2372449]$ |
\(y^2=x^3-x^2+23711x+2372449\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[ ]$ |
| 27456.h1 |
27456bw4 |
27456.h |
27456bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 3^{2} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.701847$ |
$13778603383488553/13703976$ |
$1.03871$ |
$4.85684$ |
$[0, -1, 0, -319649, 69666369]$ |
\(y^2=x^3-x^2-319649x+69666369\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 104.24.0.?, 1144.48.0.? |
$[ ]$ |
| 27456.h2 |
27456bw3 |
27456.h |
27456bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 3^{8} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.701847$ |
$47504791830313/16490207448$ |
$0.96779$ |
$4.30206$ |
$[0, -1, 0, -48289, -2567615]$ |
\(y^2=x^3-x^2-48289x-2567615\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 104.24.0.?, 1144.48.0.? |
$[ ]$ |
| 27456.h3 |
27456bw2 |
27456.h |
27456bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.355274$ |
$3440899317673/106007616$ |
$1.00103$ |
$4.04521$ |
$[0, -1, 0, -20129, 1076289]$ |
\(y^2=x^3-x^2-20129x+1076289\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 104.24.0.?, 572.24.0.?, $\ldots$ |
$[ ]$ |
| 27456.h4 |
27456bw1 |
27456.h |
27456bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{30} \cdot 3^{2} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.008699$ |
$18191447/5271552$ |
$0.96388$ |
$3.46439$ |
$[0, -1, 0, 351, 56385]$ |
\(y^2=x^3-x^2+351x+56385\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 104.24.0.?, $\ldots$ |
$[ ]$ |
| 27456.i1 |
27456d4 |
27456.i |
27456d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 3^{3} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$10.36855668$ |
$1$ |
|
$1$ |
$172032$ |
$1.691053$ |
$36652193922790372/93308787$ |
$0.98318$ |
$4.81692$ |
$[0, -1, 0, -279009, -56632095]$ |
\(y^2=x^3-x^2-279009x-56632095\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(-373096/35, 471983/35)]$ |
| 27456.i2 |
27456d2 |
27456.i |
27456d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$5.184278343$ |
$1$ |
|
$5$ |
$86016$ |
$1.344479$ |
$37109806448848/1803785841$ |
$0.93543$ |
$4.00661$ |
$[0, -1, 0, -17649, -857871]$ |
\(y^2=x^3-x^2-17649x-857871\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 52.12.0.b.1, $\ldots$ |
$[(1211, 41860)]$ |
| 27456.i3 |
27456d1 |
27456.i |
27456d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$2.592139171$ |
$1$ |
|
$3$ |
$43008$ |
$0.997906$ |
$3122884507648/835956693$ |
$0.95399$ |
$3.49316$ |
$[0, -1, 0, -3069, 49005]$ |
\(y^2=x^3-x^2-3069x+49005\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 26.6.0.b.1, $\ldots$ |
$[(-55, 220)]$ |
| 27456.i4 |
27456d3 |
27456.i |
27456d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{16} \cdot 3^{3} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$10.36855668$ |
$1$ |
|
$1$ |
$172032$ |
$1.691053$ |
$1915049403068/75239967231$ |
$0.99502$ |
$4.26348$ |
$[0, -1, 0, 10431, -3356991]$ |
\(y^2=x^3-x^2+10431x-3356991\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 78.6.0.?, $\ldots$ |
$[(59123/7, 14407660/7)]$ |
| 27456.j1 |
27456k2 |
27456.j |
27456k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{25} \cdot 3^{2} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$2.013809$ |
$44308125149913793/61165323648$ |
$1.06882$ |
$4.97113$ |
$[0, -1, 0, -471809, -124431615]$ |
\(y^2=x^3-x^2-471809x-124431615\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[ ]$ |
| 27456.j2 |
27456k1 |
27456.j |
27456k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{32} \cdot 3 \cdot 11^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$1.667236$ |
$-4047806261953/13066420224$ |
$1.06397$ |
$4.24541$ |
$[0, -1, 0, -21249, -3050751]$ |
\(y^2=x^3-x^2-21249x-3050751\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[ ]$ |
| 27456.k1 |
27456j2 |
27456.k |
27456j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 3^{6} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.848241$ |
$2361864386/1355211$ |
$0.95919$ |
$3.26469$ |
$[0, -1, 0, -1409, -1407]$ |
\(y^2=x^3-x^2-1409x-1407\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[ ]$ |
| 27456.k2 |
27456j1 |
27456.k |
27456j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{16} \cdot 3^{3} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.501667$ |
$72765788/42471$ |
$0.91365$ |
$2.85637$ |
$[0, -1, 0, 351, -351]$ |
\(y^2=x^3-x^2+351x-351\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[ ]$ |
| 27456.l1 |
27456bn1 |
27456.l |
27456bn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 11^{5} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.742944059$ |
$1$ |
|
$2$ |
$115200$ |
$1.736610$ |
$15102191874232/257941375263$ |
$0.98956$ |
$4.31428$ |
$[0, -1, 0, 16479, -4353183]$ |
\(y^2=x^3-x^2+16479x-4353183\) |
1144.2.0.? |
$[(207, 2808)]$ |
| 27456.m1 |
27456bl2 |
27456.m |
27456bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 3^{3} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$0.824234737$ |
$1$ |
|
$7$ |
$24576$ |
$0.797422$ |
$15927506500/552123$ |
$0.87912$ |
$3.38361$ |
$[0, -1, 0, -2113, 36961]$ |
\(y^2=x^3-x^2-2113x+36961\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(-3, 208)]$ |
| 27456.m2 |
27456bl1 |
27456.m |
27456bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1.648469474$ |
$1$ |
|
$5$ |
$12288$ |
$0.450849$ |
$686000/104247$ |
$0.88116$ |
$2.80905$ |
$[0, -1, 0, 47, 1969]$ |
\(y^2=x^3-x^2+47x+1969\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(5, 48)]$ |
| 27456.n1 |
27456n4 |
27456.n |
27456n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{30} \cdot 3 \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.475544$ |
$30618029936661765625/3678951124992$ |
$1.13012$ |
$5.61085$ |
$[0, -1, 0, -4171233, -3277295007]$ |
\(y^2=x^3-x^2-4171233x-3277295007\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.1, $\ldots$ |
$[ ]$ |
| 27456.n2 |
27456n3 |
27456.n |
27456n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{42} \cdot 3^{2} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$2.128971$ |
$-5764706497797625/2612665516032$ |
$0.98882$ |
$4.82817$ |
$[0, -1, 0, -239073, -60001695]$ |
\(y^2=x^3-x^2-239073x-60001695\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 24.48.0-12.i.1.1, $\ldots$ |
$[ ]$ |
| 27456.n3 |
27456n2 |
27456.n |
27456n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{3} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.926239$ |
$645532578015625/252306960048$ |
$1.03336$ |
$4.55736$ |
$[0, -1, 0, -115233, 8616609]$ |
\(y^2=x^3-x^2-115233x+8616609\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.3, $\ldots$ |
$[ ]$ |
| 27456.n4 |
27456n1 |
27456.n |
27456n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{26} \cdot 3^{6} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.579666$ |
$5137417856375/4510142208$ |
$0.96333$ |
$4.08443$ |
$[0, -1, 0, 23007, 958113]$ |
\(y^2=x^3-x^2+23007x+958113\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 24.48.0-12.i.1.3, $\ldots$ |
$[ ]$ |
| 27456.o1 |
27456f2 |
27456.o |
27456f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.931568$ |
$7382814913718500/654774260283$ |
$0.97740$ |
$4.66015$ |
$[0, -1, 0, -163553, -23372319]$ |
\(y^2=x^3-x^2-163553x-23372319\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[ ]$ |
| 27456.o2 |
27456f1 |
27456.o |
27456f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{14} \cdot 3^{14} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.584995$ |
$10017976862000/82759712607$ |
$0.97191$ |
$4.13150$ |
$[0, -1, 0, 11407, -1712271]$ |
\(y^2=x^3-x^2+11407x-1712271\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[ ]$ |
| 27456.p1 |
27456bp2 |
27456.p |
27456bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3 \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1.117850175$ |
$1$ |
|
$7$ |
$16384$ |
$0.668356$ |
$244140625/61347$ |
$1.08894$ |
$3.11045$ |
$[0, -1, 0, -833, -6687]$ |
\(y^2=x^3-x^2-833x-6687\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(-11, 32)]$ |
| 27456.p2 |
27456bp1 |
27456.p |
27456bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{18} \cdot 3^{2} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$2.235700350$ |
$1$ |
|
$5$ |
$8192$ |
$0.321783$ |
$857375/1287$ |
$0.79548$ |
$2.60309$ |
$[0, -1, 0, 127, -735]$ |
\(y^2=x^3-x^2+127x-735\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(8, 27)]$ |
| 27456.q1 |
27456bj2 |
27456.q |
27456bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.002111$ |
$128962402000/66806883$ |
$0.92591$ |
$3.45261$ |
$[0, -1, 0, -2673, -16335]$ |
\(y^2=x^3-x^2-2673x-16335\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
| 27456.q2 |
27456bj1 |
27456.q |
27456bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.655539$ |
$1048576000000/1146717$ |
$1.16880$ |
$3.38638$ |
$[0, -1, 0, -2133, -37179]$ |
\(y^2=x^3-x^2-2133x-37179\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
| 27456.r1 |
27456m4 |
27456.r |
27456m |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$312$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1492992$ |
$2.959335$ |
$195453211868372997250000/14320648682977923$ |
$1.07009$ |
$6.19683$ |
$[0, -1, 0, -30707633, -65482048431]$ |
\(y^2=x^3-x^2-30707633x-65482048431\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.1, $\ldots$ |
$[ ]$ |
| 27456.r2 |
27456m3 |
27456.r |
27456m |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$312$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$746496$ |
$2.612762$ |
$3127086412733145284608000/16789083597$ |
$1.18950$ |
$6.19682$ |
$[0, -1, 0, -30707093, -65484467307]$ |
\(y^2=x^3-x^2-30707093x-65484467307\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 24.48.0-12.i.1.1, $\ldots$ |
$[ ]$ |
| 27456.r3 |
27456m2 |
27456.r |
27456m |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$312$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$2.410030$ |
$3134160907827154000/1390984039929627$ |
$1.01555$ |
$5.11656$ |
$[0, -1, 0, -774353, 126882801]$ |
\(y^2=x^3-x^2-774353x+126882801\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.3, $\ldots$ |
$[ ]$ |
| 27456.r4 |
27456m1 |
27456.r |
27456m |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{18} \cdot 11^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$312$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$248832$ |
$2.063457$ |
$5958673237147648000/102990700534293$ |
$1.08339$ |
$4.90814$ |
$[0, -1, 0, -380693, -88921611]$ |
\(y^2=x^3-x^2-380693x-88921611\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 24.48.0-12.i.1.3, $\ldots$ |
$[ ]$ |
| 27456.s1 |
27456bq1 |
27456.s |
27456bq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{17} \cdot 3^{10} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.887368022$ |
$1$ |
|
$2$ |
$76800$ |
$1.458113$ |
$-6184708364018/1427037183$ |
$0.94194$ |
$4.06759$ |
$[0, -1, 0, -19425, 1238913]$ |
\(y^2=x^3-x^2-19425x+1238913\) |
1144.2.0.? |
$[(183, 1944)]$ |
| 27456.t1 |
27456bm1 |
27456.t |
27456bm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{15} \cdot 3^{2} \cdot 11 \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.535358718$ |
$1$ |
|
$2$ |
$6656$ |
$0.155642$ |
$-941192/1287$ |
$0.85101$ |
$2.48181$ |
$[0, -1, 0, -65, -351]$ |
\(y^2=x^3-x^2-65x-351\) |
1144.2.0.? |
$[(11, 12)]$ |
| 27456.u1 |
27456g1 |
27456.u |
27456g |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 3^{14} \cdot 11^{7} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$8008$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$6773760$ |
$3.675541$ |
$-21293376668673906679951249/26211168887701209984$ |
$1.05359$ |
$6.92729$ |
$[0, -1, 0, -369561665, 2737533428289]$ |
\(y^2=x^3-x^2-369561665x+2737533428289\) |
7.24.0.a.1, 56.48.0-7.a.1.1, 1144.2.0.?, 2002.48.0.?, 8008.96.2.? |
$[ ]$ |
