| 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.ba3 |
22386ba1 |
22386.ba |
22386ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$89544$ |
$96$ |
$1$ |
$1.787226545$ |
$1$ |
|
$13$ |
$20736$ |
$0.804936$ |
$-29403487464625/110884842432$ |
$0.89587$ |
$3.29758$ |
$[1, 0, 0, -643, 17153]$ |
\(y^2+xy=x^3-643x+17153\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 312.48.0.?, 574.6.0.?, $\ldots$ |
$[(16, 97)]$ |
| 67158.n3 |
67158v1 |
67158.n |
67158v |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{12} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$89544$ |
$96$ |
$1$ |
$1.606582858$ |
$1$ |
|
$5$ |
$165888$ |
$1.354242$ |
$-29403487464625/110884842432$ |
$0.89587$ |
$3.56470$ |
$[1, -1, 0, -5787, -463131]$ |
\(y^2+xy=x^3-x^2-5787x-463131\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 312.48.0.?, 574.6.0.?, $\ldots$ |
$[(141, 1158)]$ |
| 156702.br3 |
156702bd1 |
156702.br |
156702bd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$1.777891$ |
$-29403487464625/110884842432$ |
$0.89587$ |
$3.73719$ |
$[1, 1, 1, -31508, -5914987]$ |
\(y^2+xy+y=x^3+x^2-31508x-5914987\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[]$ |
| 179088.t3 |
179088bj1 |
179088.t |
179088bj |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{18} \cdot 3^{6} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$6.450800996$ |
$1$ |
|
$3$ |
$497664$ |
$1.498083$ |
$-29403487464625/110884842432$ |
$0.89587$ |
$3.41834$ |
$[0, -1, 0, -10288, -1097792]$ |
\(y^2=x^3-x^2-10288x-1097792\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 312.48.0.?, $\ldots$ |
$[(1194, 41078)]$ |
| 291018.be3 |
291018be1 |
291018.be |
291018be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 13^{8} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$2.107103262$ |
$1$ |
|
$5$ |
$3483648$ |
$2.087410$ |
$-29403487464625/110884842432$ |
$0.89587$ |
$3.84853$ |
$[1, 0, 1, -108671, 37793810]$ |
\(y^2+xy+y=x^3-108671x+37793810\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.15, 39.8.0-3.a.1.1, $\ldots$ |
$[(-90, 6889)]$ |
| 470106.br3 |
470106br1 |
470106.br |
470106br |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{12} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$1.410704998$ |
$1$ |
|
$7$ |
$7962624$ |
$2.327198$ |
$-29403487464625/110884842432$ |
$0.89587$ |
$3.92753$ |
$[1, -1, 0, -283572, 159421072]$ |
\(y^2+xy=x^3-x^2-283572x+159421072\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(-544, 12620)]$ |
