| 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 |
| 22386.x4 |
22386z1 |
22386.x |
22386z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{28} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$12792$ |
$48$ |
$0$ |
$2.313277631$ |
$1$ |
|
$3$ |
$64512$ |
$1.242579$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$3.82276$ |
$[1, 0, 0, -3829, -239071]$ |
\(y^2+xy=x^3-3829x-239071\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 164.12.0.?, $\ldots$ |
$[(658, 16471)]$ |
| 67158.u4 |
67158q1 |
67158.u |
67158q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{28} \cdot 3^{7} \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$3.626307072$ |
$1$ |
|
$3$ |
$516096$ |
$1.791883$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$4.03796$ |
$[1, -1, 0, -34461, 6454917]$ |
\(y^2+xy=x^3-x^2-34461x+6454917\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[(-21, 2688)]$ |
| 156702.cb4 |
156702bn1 |
156702.cb |
156702bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{28} \cdot 3 \cdot 7^{8} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3096576$ |
$2.215534$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$4.17694$ |
$[1, 1, 1, -187622, 81813731]$ |
\(y^2+xy+y=x^3+x^2-187622x+81813731\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[]$ |
| 179088.g4 |
179088bc1 |
179088.g |
179088bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{40} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$12792$ |
$48$ |
$0$ |
$6.218995460$ |
$1$ |
|
$3$ |
$1548288$ |
$1.935724$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$3.85323$ |
$[0, -1, 0, -61264, 15300544]$ |
\(y^2=x^3-x^2-61264x+15300544\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 164.12.0.?, $\ldots$ |
$[(-303, 2440)]$ |
| 291018.bl4 |
291018bl1 |
291018.bl |
291018bl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{28} \cdot 3 \cdot 7^{2} \cdot 13^{7} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$10838016$ |
$2.525051$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$4.26664$ |
$[1, 0, 1, -647105, -524591884]$ |
\(y^2+xy+y=x^3-647105x-524591884\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
| 470106.o4 |
470106o1 |
470106.o |
470106o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{28} \cdot 3^{7} \cdot 7^{8} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$17.24466526$ |
$1$ |
|
$1$ |
$24772608$ |
$2.764839$ |
$-6208503067778257/21032186413056$ |
$0.92750$ |
$4.33029$ |
$[1, -1, 0, -1688598, -2210659340]$ |
\(y^2+xy=x^3-x^2-1688598x-2210659340\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[(197027037/143, 2722680815002/143)]$ |
