| 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.ba4 |
22386ba3 |
22386.ba |
22386ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{6} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$89544$ |
$96$ |
$1$ |
$5.361679637$ |
$1$ |
|
$3$ |
$62208$ |
$1.354242$ |
$20020616659055375/83832462778428$ |
$0.93612$ |
$3.93022$ |
$[1, 0, 0, 5657, -408475]$ |
\(y^2+xy=x^3+5657x-408475\) |
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.?, $\ldots$ |
$[(250, 3955)]$ |
| 67158.n4 |
67158v3 |
67158.n |
67158v |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{8} \cdot 7 \cdot 13^{6} \cdot 41^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$89544$ |
$96$ |
$1$ |
$4.819748575$ |
$1$ |
|
$9$ |
$497664$ |
$1.903549$ |
$20020616659055375/83832462778428$ |
$0.93612$ |
$4.13480$ |
$[1, -1, 0, 50913, 11028825]$ |
\(y^2+xy=x^3-x^2+50913x+11028825\) |
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.?, $\ldots$ |
$[(732, 20613)]$ |
| 156702.br4 |
156702bd3 |
156702.br |
156702bd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7^{7} \cdot 13^{6} \cdot 41^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2985984$ |
$2.327198$ |
$20020616659055375/83832462778428$ |
$0.93612$ |
$4.26692$ |
$[1, 1, 1, 277192, 140384117]$ |
\(y^2+xy+y=x^3+x^2+277192x+140384117\) |
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, $\ldots$ |
$[]$ |
| 179088.t4 |
179088bj3 |
179088.t |
179088bj |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7 \cdot 13^{6} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$2.150266998$ |
$1$ |
|
$5$ |
$1492992$ |
$2.047390$ |
$20020616659055375/83832462778428$ |
$0.93612$ |
$3.94222$ |
$[0, -1, 0, 90512, 26142400]$ |
\(y^2=x^3-x^2+90512x+26142400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 312.48.0.?, $\ldots$ |
$[(138, 6422)]$ |
| 291018.be4 |
291018be3 |
291018.be |
291018be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{12} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$6.321309787$ |
$1$ |
|
$3$ |
$10450944$ |
$2.636719$ |
$20020616659055375/83832462778428$ |
$0.93612$ |
$4.35219$ |
$[1, 0, 1, 956029, -898375606]$ |
\(y^2+xy+y=x^3+956029x-898375606\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 39.8.0-3.a.1.2, $\ldots$ |
$[(11922, 1299817)]$ |
| 470106.br4 |
470106br3 |
470106.br |
470106br |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{8} \cdot 7^{7} \cdot 13^{6} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$89544$ |
$96$ |
$1$ |
$4.232114995$ |
$1$ |
|
$3$ |
$23887872$ |
$2.876503$ |
$20020616659055375/83832462778428$ |
$0.93612$ |
$4.41270$ |
$[1, -1, 0, 2494728, -3787876436]$ |
\(y^2+xy=x^3-x^2+2494728x-3787876436\) |
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, $\ldots$ |
$[(2102, 102584)]$ |
