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 |
22386.y2 |
22386w2 |
22386.y |
22386w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{7} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$89544$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$921984$ |
$2.655544$ |
$71473535169369644529791/513262758348672548034$ |
$1.00101$ |
$5.49690$ |
$[1, 0, 0, 864584, -1045089598]$ |
\(y^2+xy=x^3+864584x-1045089598\) |
7.48.0-7.a.2.2, 89544.96.2.? |
$[]$ |
67158.q2 |
67158r2 |
67158.q |
67158r |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 7 \cdot 13^{7} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$7375872$ |
$3.204853$ |
$71473535169369644529791/513262758348672548034$ |
$1.00101$ |
$5.54663$ |
$[1, -1, 0, 7781256, 28217419146]$ |
\(y^2+xy=x^3-x^2+7781256x+28217419146\) |
7.24.0.a.2, 21.48.0-7.a.2.2, 29848.48.0.?, 89544.96.2.? |
$[]$ |
156702.bu2 |
156702bg2 |
156702.bu |
156702bg |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7^{7} \cdot 13^{7} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.2 |
7B.1.4 |
$89544$ |
$96$ |
$2$ |
$1.169379333$ |
$1$ |
|
$0$ |
$44255232$ |
$3.628502$ |
$71473535169369644529791/513262758348672548034$ |
$1.00101$ |
$5.57874$ |
$[1, 1, 1, 42364615, 358508096729]$ |
\(y^2+xy+y=x^3+x^2+42364615x+358508096729\) |
7.48.0-7.a.2.1, 89544.96.2.? |
$[(37469/4, 43827707/4)]$ |
179088.n2 |
179088bh2 |
179088.n |
179088bh |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3 \cdot 7 \cdot 13^{7} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$89544$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$22127616$ |
$3.348694$ |
$71473535169369644529791/513262758348672548034$ |
$1.00101$ |
$5.23956$ |
$[0, -1, 0, 13833344, 66885734272]$ |
\(y^2=x^3-x^2+13833344x+66885734272\) |
7.24.0.a.2, 28.48.0-7.a.2.1, 89544.96.2.? |
$[]$ |
291018.bi2 |
291018bi2 |
291018.bi |
291018bi |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{13} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$89544$ |
$96$ |
$2$ |
$13.54928981$ |
$1$ |
|
$0$ |
$154893312$ |
$3.938019$ |
$71473535169369644529791/513262758348672548034$ |
$1.00101$ |
$5.59947$ |
$[1, 0, 1, 146114692, -2296207961500]$ |
\(y^2+xy+y=x^3+146114692x-2296207961500\) |
7.24.0.a.2, 91.48.0.?, 6888.48.0.?, 89544.96.2.? |
$[(666454330/153, 17835393640780/153)]$ |
470106.bj2 |
470106bj2 |
470106.bj |
470106bj |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 7^{7} \cdot 13^{7} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$354041856$ |
$4.177811$ |
$71473535169369644529791/513262758348672548034$ |
$1.00101$ |
$5.61418$ |
$[1, -1, 0, 381281535, -9679337330153]$ |
\(y^2+xy=x^3-x^2+381281535x-9679337330153\) |
7.24.0.a.2, 21.48.0-7.a.2.1, 29848.48.0.?, 89544.96.2.? |
$[]$ |