| 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 |
| 18562.a1 |
18562c1 |
18562.a |
18562c |
$1$ |
$1$ |
\( 2 \cdot 9281 \) |
\( 2^{2} \cdot 9281 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18562$ |
$2$ |
$0$ |
$0.566748574$ |
$1$ |
|
$30$ |
$4720$ |
$-0.360919$ |
$822656953/37124$ |
$0.73331$ |
$2.08855$ |
$[1, 0, 1, -20, 30]$ |
\(y^2+xy+y=x^3-20x+30\) |
18562.2.0.? |
$[(3, -3), (2, -2), (-1, 7)]$ |
| 18562.b1 |
18562b1 |
18562.b |
18562b |
$1$ |
$1$ |
\( 2 \cdot 9281 \) |
\( 2^{8} \cdot 9281 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18562$ |
$2$ |
$0$ |
$0.538780019$ |
$1$ |
|
$4$ |
$5440$ |
$-0.086797$ |
$4165509529/2375936$ |
$0.81240$ |
$2.25358$ |
$[1, 0, 1, -34, -12]$ |
\(y^2+xy+y=x^3-34x-12\) |
18562.2.0.? |
$[(-3, 9)]$ |
| 18562.c1 |
18562a1 |
18562.c |
18562a |
$1$ |
$1$ |
\( 2 \cdot 9281 \) |
\( 2^{8} \cdot 9281 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18562$ |
$2$ |
$0$ |
$1.931228802$ |
$1$ |
|
$0$ |
$5888$ |
$0.248047$ |
$19755259244937/2375936$ |
$0.91527$ |
$3.11475$ |
$[1, -1, 0, -563, -5003]$ |
\(y^2+xy=x^3-x^2-563x-5003\) |
18562.2.0.? |
$[(-122/3, 191/3)]$ |
| 18562.d1 |
18562h2 |
18562.d |
18562h |
$2$ |
$2$ |
\( 2 \cdot 9281 \) |
\( 2 \cdot 9281^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$74248$ |
$12$ |
$0$ |
$4.084375005$ |
$1$ |
|
$0$ |
$8384$ |
$0.298902$ |
$939176600257/172273922$ |
$0.81780$ |
$2.80483$ |
$[1, 0, 0, -204, 910]$ |
\(y^2+xy=x^3-204x+910\) |
2.3.0.a.1, 8.6.0.b.1, 37124.6.0.?, 74248.12.0.? |
$[(-1/2, 249/2)]$ |
| 18562.d2 |
18562h1 |
18562.d |
18562h |
$2$ |
$2$ |
\( 2 \cdot 9281 \) |
\( 2^{2} \cdot 9281 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$74248$ |
$12$ |
$0$ |
$2.042187502$ |
$1$ |
|
$3$ |
$4192$ |
$-0.047672$ |
$807734827297/37124$ |
$0.81176$ |
$2.78949$ |
$[1, 0, 0, -194, 1024]$ |
\(y^2+xy=x^3-194x+1024\) |
2.3.0.a.1, 8.6.0.c.1, 18562.6.0.?, 74248.12.0.? |
$[(0, 32)]$ |
| 18562.e1 |
18562g1 |
18562.e |
18562g |
$2$ |
$2$ |
\( 2 \cdot 9281 \) |
\( 2^{4} \cdot 9281 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.21 |
2B |
$74248$ |
$48$ |
$0$ |
$4.969422494$ |
$1$ |
|
$3$ |
$5120$ |
$-0.006457$ |
$783012621313/148496$ |
$0.81147$ |
$2.78632$ |
$[1, 0, 0, -192, -1040]$ |
\(y^2+xy=x^3-192x-1040\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 18562.6.0.?, 37124.24.0.?, $\ldots$ |
$[(234, 3458)]$ |
| 18562.e2 |
18562g2 |
18562.e |
18562g |
$2$ |
$2$ |
\( 2 \cdot 9281 \) |
\( - 2^{2} \cdot 9281^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.12 |
2B |
$74248$ |
$48$ |
$0$ |
$9.938844988$ |
$1$ |
|
$0$ |
$10240$ |
$0.340117$ |
$-562946150593/344547844$ |
$0.82098$ |
$2.82616$ |
$[1, 0, 0, -172, -1260]$ |
\(y^2+xy=x^3-172x-1260\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 37124.24.0.?, 74248.48.0.? |
$[(28312/11, 4602934/11)]$ |
| 18562.f1 |
18562d1 |
18562.f |
18562d |
$1$ |
$1$ |
\( 2 \cdot 9281 \) |
\( 2^{26} \cdot 9281 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18562$ |
$2$ |
$0$ |
$0.345266322$ |
$1$ |
|
$16$ |
$38896$ |
$1.059031$ |
$34984071046454193/622837366784$ |
$0.90946$ |
$3.87569$ |
$[1, -1, 1, -6814, 214829]$ |
\(y^2+xy+y=x^3-x^2-6814x+214829\) |
18562.2.0.? |
$[(-7, 515), (53, -5)]$ |
| 18562.g1 |
18562f1 |
18562.g |
18562f |
$2$ |
$2$ |
\( 2 \cdot 9281 \) |
\( 2^{14} \cdot 9281 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$74248$ |
$12$ |
$0$ |
$0.997898950$ |
$1$ |
|
$7$ |
$4480$ |
$0.267999$ |
$378403718337/152059904$ |
$0.82977$ |
$2.71234$ |
$[1, -1, 1, -151, 431]$ |
\(y^2+xy+y=x^3-x^2-151x+431\) |
2.3.0.a.1, 8.6.0.d.1, 18562.6.0.?, 74248.12.0.? |
$[(11, -2)]$ |
| 18562.g2 |
18562f2 |
18562.g |
18562f |
$2$ |
$2$ |
\( 2 \cdot 9281 \) |
\( - 2^{7} \cdot 9281^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$74248$ |
$12$ |
$0$ |
$1.995797901$ |
$1$ |
|
$4$ |
$8960$ |
$0.614573$ |
$12956349162303/11025531008$ |
$0.90285$ |
$3.07183$ |
$[1, -1, 1, 489, 2735]$ |
\(y^2+xy+y=x^3-x^2+489x+2735\) |
2.3.0.a.1, 8.6.0.a.1, 37124.6.0.?, 74248.12.0.? |
$[(-5, 14)]$ |
| 18562.h1 |
18562e1 |
18562.h |
18562e |
$1$ |
$1$ |
\( 2 \cdot 9281 \) |
\( 2^{2} \cdot 9281 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18562$ |
$2$ |
$0$ |
$2.466656729$ |
$1$ |
|
$0$ |
$1904$ |
$-0.209564$ |
$32798729601/37124$ |
$0.78314$ |
$2.46352$ |
$[1, -1, 1, -67, -193]$ |
\(y^2+xy+y=x^3-x^2-67x-193\) |
18562.2.0.? |
$[(-41/3, 56/3)]$ |
