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.y1 |
22386w1 |
22386.y |
22386w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$131712$ |
$1.682590$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$4.74065$ |
$[1, 0, 0, -155806, 23664452]$ |
\(y^2+xy=x^3-155806x+23664452\) |
7.48.0-7.a.1.2, 89544.96.2.? |
$[]$ |
67158.q1 |
67158r1 |
67158.q |
67158r |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{13} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1053696$ |
$2.231895$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$4.86512$ |
$[1, -1, 0, -1402254, -638940204]$ |
\(y^2+xy=x^3-x^2-1402254x-638940204\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 29848.48.0.?, 89544.96.2.? |
$[]$ |
156702.bu1 |
156702bg1 |
156702.bu |
156702bg |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{13} \cdot 13 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$89544$ |
$96$ |
$2$ |
$8.185655333$ |
$1$ |
|
$0$ |
$6322176$ |
$2.655544$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$4.94551$ |
$[1, 1, 1, -7634495, -8124541531]$ |
\(y^2+xy+y=x^3+x^2-7634495x-8124541531\) |
7.48.0-7.a.1.1, 89544.96.2.? |
$[(731309/4, 622766137/4)]$ |
179088.n1 |
179088bh1 |
179088.n |
179088bh |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$89544$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3161088$ |
$2.375736$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$4.61332$ |
$[0, -1, 0, -2492896, -1514524928]$ |
\(y^2=x^3-x^2-2492896x-1514524928\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 89544.96.2.? |
$[]$ |
291018.bi1 |
291018bi1 |
291018.bi |
291018bi |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$89544$ |
$96$ |
$2$ |
$1.935612830$ |
$1$ |
|
$2$ |
$22127616$ |
$2.965065$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$4.99739$ |
$[1, 0, 1, -26331218, 52017132260]$ |
\(y^2+xy+y=x^3-26331218x+52017132260\) |
7.24.0.a.1, 91.48.0.?, 6888.48.0.?, 89544.96.2.? |
$[(2796, 14572)]$ |
470106.bj1 |
470106bj1 |
470106.bj |
470106bj |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{13} \cdot 7^{13} \cdot 13 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$50577408$ |
$3.204853$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$5.03421$ |
$[1, -1, 0, -68710455, 219293910877]$ |
\(y^2+xy=x^3-x^2-68710455x+219293910877\) |
7.24.0.a.1, 21.48.0-7.a.1.1, 29848.48.0.?, 89544.96.2.? |
$[]$ |