| 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 |
| 32244.a1 |
32244c1 |
32244.a |
32244c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 2687 \) |
\( - 2^{4} \cdot 3^{2} \cdot 2687 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5374$ |
$2$ |
$0$ |
$0.394959406$ |
$1$ |
|
$40$ |
$13344$ |
$-0.193628$ |
$-192914176/24183$ |
$0.69474$ |
$2.12371$ |
$[0, -1, 0, -30, 81]$ |
\(y^2=x^3-x^2-30x+81\) |
5374.2.0.? |
$[(0, 9), (6, 9), (3, 3)]$ |
| 32244.b1 |
32244a1 |
32244.b |
32244a |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 2687 \) |
\( - 2^{4} \cdot 3^{6} \cdot 2687 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5374$ |
$2$ |
$0$ |
$0.797571237$ |
$1$ |
|
$10$ |
$7200$ |
$0.125292$ |
$1957215488/1958823$ |
$0.75897$ |
$2.32802$ |
$[0, -1, 0, 66, 153]$ |
\(y^2=x^3-x^2+66x+153\) |
5374.2.0.? |
$[(6, 27), (2, 17)]$ |
| 32244.c1 |
32244b1 |
32244.c |
32244b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 2687 \) |
\( - 2^{4} \cdot 3^{4} \cdot 2687 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5374$ |
$2$ |
$0$ |
$0.432402958$ |
$1$ |
|
$4$ |
$4224$ |
$-0.036605$ |
$-524386048/217647$ |
$0.80827$ |
$2.25323$ |
$[0, -1, 0, -42, 153]$ |
\(y^2=x^3-x^2-42x+153\) |
5374.2.0.? |
$[(6, 9)]$ |
| 32244.d1 |
32244d1 |
32244.d |
32244d |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 2687 \) |
\( - 2^{4} \cdot 3^{12} \cdot 2687 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$16122$ |
$16$ |
$0$ |
$1.416561252$ |
$1$ |
|
$8$ |
$30528$ |
$0.710946$ |
$-7299172192000/1427981967$ |
$0.84187$ |
$3.14828$ |
$[0, 1, 0, -1018, 14129]$ |
\(y^2=x^3+x^2-1018x+14129\) |
3.8.0-3.a.1.2, 5374.2.0.?, 16122.16.0.? |
$[(17, 45)]$ |
| 32244.d2 |
32244d2 |
32244.d |
32244d |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 2687 \) |
\( - 2^{4} \cdot 3^{4} \cdot 2687^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$16122$ |
$16$ |
$0$ |
$4.249683756$ |
$1$ |
|
$2$ |
$91584$ |
$1.260252$ |
$2454766407968000/1571404592943$ |
$0.91833$ |
$3.68067$ |
$[0, 1, 0, 7082, -72379]$ |
\(y^2=x^3+x^2+7082x-72379\) |
3.8.0-3.a.1.1, 5374.2.0.?, 16122.16.0.? |
$[(161, 2295)]$ |
