| 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 |
| 10626.p3 |
10626r3 |
10626.p |
10626r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.50 |
2Cs |
$184$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$409600$ |
$2.619022$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.19596$ |
$[1, 0, 0, -4310284, -3428989876]$ |
\(y^2+xy=x^3-4310284x-3428989876\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.f.1.1, 184.192.1.? |
$[]$ |
| 31878.u3 |
31878v3 |
31878.u |
31878v |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$552$ |
$192$ |
$1$ |
$0.642548675$ |
$1$ |
|
$14$ |
$3276800$ |
$3.168327$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.17520$ |
$[1, -1, 0, -38792556, 92582726652]$ |
\(y^2+xy=x^3-x^2-38792556x+92582726652\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 12.24.0-4.b.1.1, 24.96.0-8.f.1.1, $\ldots$ |
$[(4362, 77514)]$ |
| 74382.bg3 |
74382x3 |
74382.bg |
74382x |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{10} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$1288$ |
$192$ |
$1$ |
$33.07069701$ |
$1$ |
|
$2$ |
$19660800$ |
$3.591976$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.16197$ |
$[1, 1, 1, -211203917, 1175932323551]$ |
\(y^2+xy+y=x^3+x^2-211203917x+1175932323551\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 28.24.0-4.b.1.1, 56.96.0-8.f.1.1, $\ldots$ |
$[(39494533487320955/489089, 7809776164630548542754658/489089)]$ |
| 85008.f3 |
85008bm3 |
85008.f |
85008bm |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.33 |
2Cs |
$184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$9830400$ |
$3.312168$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$5.79366$ |
$[0, -1, 0, -68964544, 219455352064]$ |
\(y^2=x^3-x^2-68964544x+219455352064\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.f.1.5, 184.192.1.? |
$[]$ |
| 116886.m3 |
116886l3 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 11^{14} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$2024$ |
$192$ |
$1$ |
$9.725836899$ |
$1$ |
|
$2$ |
$49152000$ |
$3.817970$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.15569$ |
$[1, 0, 1, -521544367, 4563463980590]$ |
\(y^2+xy+y=x^3-521544367x+4563463980590\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 44.24.0-4.b.1.1, 88.96.0.?, $\ldots$ |
$[(60247/2, 2768209/2)]$ |
| 223146.o3 |
223146cq4 |
223146.o |
223146cq |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{10} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$3864$ |
$192$ |
$1$ |
$3.690817602$ |
$1$ |
|
$6$ |
$157286400$ |
$4.141281$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.14752$ |
$[1, -1, 0, -1900835253, -31752073571135]$ |
\(y^2+xy=x^3-x^2-1900835253x-31752073571135\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 84.24.0.?, 168.96.0.?, $\ldots$ |
$[(-25978, 322661)]$ |
| 244398.bq3 |
244398bq3 |
244398.bq |
244398bq |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 11^{8} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.110 |
2Cs |
$184$ |
$192$ |
$1$ |
$13.47254975$ |
$1$ |
|
$2$ |
$216268800$ |
$4.186768$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.14644$ |
$[1, 0, 0, -2280140247, 41715959540805]$ |
\(y^2+xy=x^3-2280140247x+41715959540805\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.f.1.2, 92.24.0.?, 184.192.1.? |
$[(196811307/26, 2723472815019/26)]$ |
| 255024.ec3 |
255024ec4 |
255024.ec |
255024ec |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{10} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$552$ |
$192$ |
$1$ |
$33.32976939$ |
$1$ |
|
$3$ |
$78643200$ |
$3.861473$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$5.81187$ |
$[0, 0, 0, -620680899, -5924673824830]$ |
\(y^2=x^3-620680899x-5924673824830\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 12.24.0-4.b.1.3, 24.96.0-8.f.1.3, $\ldots$ |
$[(-24199744110384305/1286457, 334519179032055514198130/1286457)]$ |
| 265650.r3 |
265650r4 |
265650.r |
265650r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$52428800$ |
$3.423740$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$5.37231$ |
$[1, 1, 0, -107757100, -428623734500]$ |
\(y^2+xy=x^3+x^2-107757100x-428623734500\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 20.24.0-4.b.1.1, 40.96.0-8.f.1.1, $\ldots$ |
$[]$ |
| 340032.cv3 |
340032cv4 |
340032.cv |
340032cv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{20} \cdot 3^{4} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.11 |
2Cs |
$184$ |
$192$ |
$1$ |
$8.532924393$ |
$1$ |
|
$5$ |
$78643200$ |
$3.658741$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$5.48959$ |
$[0, -1, 0, -275858177, -1755366958335]$ |
\(y^2=x^3-x^2-275858177x-1755366958335\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.f.1.7, 184.192.1.? |
$[(-36227/2, 57785/2)]$ |
| 340032.fu3 |
340032fu3 |
340032.fu |
340032fu |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{20} \cdot 3^{4} \cdot 7^{4} \cdot 11^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.13 |
2Cs |
$184$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$78643200$ |
$3.658741$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$5.48959$ |
$[0, 1, 0, -275858177, 1755366958335]$ |
\(y^2=x^3+x^2-275858177x+1755366958335\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.f.1.3, 184.192.1.? |
$[]$ |
| 350658.dx3 |
350658dx4 |
350658.dx |
350658dx |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{4} \cdot 11^{14} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$6072$ |
$192$ |
$1$ |
$57.50391205$ |
$1$ |
|
$2$ |
$393216000$ |
$4.367271$ |
$8856076866003496152467137/46664863048067576004$ |
$1.05783$ |
$6.14230$ |
$[1, -1, 1, -4693899299, -123213527475937]$ |
\(y^2+xy+y=x^3-x^2-4693899299x-123213527475937\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 132.24.0.?, 184.96.1.?, $\ldots$ |
$[(19507015647598685584012119/14859881686, 40247516834326146538162478302405478365/14859881686)]$ |
