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.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.? |
$[(-5, 14)]$ |
148496.e2 |
148496b2 |
148496.e |
148496b |
$2$ |
$2$ |
\( 2^{4} \cdot 9281 \) |
\( - 2^{19} \cdot 9281^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$74248$ |
$12$ |
$0$ |
$15.23289266$ |
$1$ |
|
$1$ |
$215040$ |
$1.307720$ |
$12956349162303/11025531008$ |
$0.90285$ |
$3.23391$ |
$[0, 0, 0, 7829, -182886]$ |
\(y^2=x^3+7829x-182886\) |
2.3.0.a.1, 8.6.0.a.1, 37124.6.0.?, 74248.12.0.? |
$[(2286839/287, 5587890594/287)]$ |
167058.g2 |
167058m2 |
167058.g |
167058m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 9281 \) |
\( - 2^{7} \cdot 3^{6} \cdot 9281^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$74248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$286720$ |
$1.163879$ |
$12956349162303/11025531008$ |
$0.90285$ |
$3.05870$ |
$[1, -1, 0, 4404, -78256]$ |
\(y^2+xy=x^3-x^2+4404x-78256\) |
2.3.0.a.1, 8.6.0.a.1, 37124.6.0.?, 74248.12.0.? |
$[]$ |
464050.c2 |
464050c2 |
464050.c |
464050c |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 9281 \) |
\( - 2^{7} \cdot 5^{6} \cdot 9281^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$74248$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1146880$ |
$1.419291$ |
$12956349162303/11025531008$ |
$0.90285$ |
$3.05411$ |
$[1, -1, 0, 12233, 354141]$ |
\(y^2+xy=x^3-x^2+12233x+354141\) |
2.3.0.a.1, 8.6.0.a.1, 37124.6.0.?, 74248.12.0.? |
$[]$ |