| 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 |
| 90009.a1 |
90009a2 |
90009.a |
90009a |
$2$ |
$2$ |
\( 3^{2} \cdot 73 \cdot 137 \) |
\( 3^{30} \cdot 73 \cdot 137^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$25.72959472$ |
$1$ |
|
$0$ |
$2641920$ |
$2.843403$ |
$386243557820661661107625/386967157825467897$ |
$0.96535$ |
$5.33873$ |
$[1, -1, 1, -13654895, -19401172522]$ |
\(y^2+xy+y=x^3-x^2-13654895x-19401172522\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[(-13704972113766/80525, 2530105813472455052/80525)]$ |
| 90009.a2 |
90009a1 |
90009.a |
90009a |
$2$ |
$2$ |
\( 3^{2} \cdot 73 \cdot 137 \) |
\( 3^{18} \cdot 73^{2} \cdot 137 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$51.45918944$ |
$1$ |
|
$1$ |
$1320960$ |
$2.496830$ |
$385964865476398673601625/387990725193$ |
$0.96533$ |
$5.33867$ |
$[1, -1, 1, -13651610, -19410984160]$ |
\(y^2+xy+y=x^3-x^2-13651610x-19410984160\) |
2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.? |
$[(136028852472627376273852/5057750241, 30906217948256672119806414682430936/5057750241)]$ |
| 90009.b1 |
90009b2 |
90009.b |
90009b |
$2$ |
$2$ |
\( 3^{2} \cdot 73 \cdot 137 \) |
\( 3^{6} \cdot 73 \cdot 137^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$9.881646623$ |
$1$ |
|
$0$ |
$1492992$ |
$2.146202$ |
$17374804109361438921/482665506294457$ |
$0.96706$ |
$4.46132$ |
$[1, -1, 1, -485633, -126973376]$ |
\(y^2+xy+y=x^3-x^2-485633x-126973376\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[(-63254/13, 3707855/13)]$ |
| 90009.b2 |
90009b1 |
90009.b |
90009b |
$2$ |
$2$ |
\( 3^{2} \cdot 73 \cdot 137 \) |
\( 3^{6} \cdot 73^{2} \cdot 137^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$19.76329324$ |
$1$ |
|
$1$ |
$746496$ |
$1.799629$ |
$17024594875172176761/13702740137$ |
$0.94200$ |
$4.45953$ |
$[1, -1, 1, -482348, -128819546]$ |
\(y^2+xy+y=x^3-x^2-482348x-128819546\) |
2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.? |
$[(2460084296/1423, 92821865394155/1423)]$ |
| 90009.c1 |
90009c1 |
90009.c |
90009c |
$1$ |
$1$ |
\( 3^{2} \cdot 73 \cdot 137 \) |
\( - 3^{7} \cdot 73 \cdot 137^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$438$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$132352$ |
$1.422079$ |
$-3019953157341184/77148304059$ |
$0.89615$ |
$3.70618$ |
$[0, 0, 1, -27102, -1754811]$ |
\(y^2+y=x^3-27102x-1754811\) |
438.2.0.? |
$[]$ |
