| 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 |
| 3844.a1 |
3844d1 |
3844.a |
3844d |
$1$ |
$1$ |
\( 2^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$62$ |
$2$ |
$0$ |
$0.362298123$ |
$1$ |
|
$6$ |
$384$ |
$-0.224997$ |
$-256$ |
$0.65713$ |
$2.50385$ |
$[0, 1, 0, -10, -39]$ |
\(y^2=x^3+x^2-10x-39\) |
62.2.0.a.1 |
$[(10, 31)]$ |
| 3844.b1 |
3844a1 |
3844.b |
3844a |
$1$ |
$1$ |
\( 2^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$62$ |
$2$ |
$0$ |
$1.027847262$ |
$1$ |
|
$2$ |
$5760$ |
$1.158005$ |
$-33958656/31$ |
$1.22690$ |
$4.93305$ |
$[0, 0, 0, -16337, 804357]$ |
\(y^2=x^3-16337x+804357\) |
62.2.0.a.1 |
$[(-124, 961)]$ |
| 3844.c1 |
3844c1 |
3844.c |
3844c |
$2$ |
$3$ |
\( 2^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$186$ |
$16$ |
$0$ |
$2.026948199$ |
$1$ |
|
$2$ |
$5760$ |
$0.945232$ |
$-87808/31$ |
$0.69864$ |
$4.26878$ |
$[0, -1, 0, -2242, -51111]$ |
\(y^2=x^3-x^2-2242x-51111\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 62.2.0.a.1, 93.8.0.?, 186.16.0.? |
$[(207, 2883)]$ |
| 3844.c2 |
3844c2 |
3844.c |
3844c |
$2$ |
$3$ |
\( 2^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$186$ |
$16$ |
$0$ |
$6.080844599$ |
$1$ |
|
$0$ |
$17280$ |
$1.494537$ |
$38112512/29791$ |
$0.88754$ |
$4.94684$ |
$[0, -1, 0, 16978, 498581]$ |
\(y^2=x^3-x^2+16978x+498581\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 62.2.0.a.1, 93.8.0.?, 186.16.0.? |
$[(9151/7, 1092657/7)]$ |
| 3844.d1 |
3844b1 |
3844.d |
3844b |
$1$ |
$1$ |
\( 2^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$62$ |
$2$ |
$0$ |
$1.749591964$ |
$1$ |
|
$0$ |
$11904$ |
$1.491997$ |
$-256$ |
$0.65713$ |
$5.00000$ |
$[0, -1, 0, -9930, 1063649]$ |
\(y^2=x^3-x^2-9930x+1063649\) |
62.2.0.a.1 |
$[(964/3, 29791/3)]$ |
