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.s2 |
22386r1 |
22386.s |
22386r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{3} \cdot 13^{4} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35328$ |
$0.819210$ |
$-41454067728529/130135683132$ |
$0.93654$ |
$3.31621$ |
$[1, 1, 1, -721, -19189]$ |
\(y^2+xy+y=x^3+x^2-721x-19189\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[]$ |
67158.a2 |
67158z1 |
67158.a |
67158z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{3} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$0.238067649$ |
$1$ |
|
$15$ |
$282624$ |
$1.368515$ |
$-41454067728529/130135683132$ |
$0.93654$ |
$3.58148$ |
$[1, -1, 0, -6489, 511609]$ |
\(y^2+xy=x^3-x^2-6489x+511609\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[(-28, 833)]$ |
156702.cj2 |
156702b1 |
156702.cj |
156702b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{9} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$1.682991877$ |
$1$ |
|
$3$ |
$1695744$ |
$1.792164$ |
$-41454067728529/130135683132$ |
$0.93654$ |
$3.75279$ |
$[1, 0, 0, -35330, 6475776]$ |
\(y^2+xy=x^3-35330x+6475776\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[(424, 8020)]$ |
179088.cl2 |
179088u1 |
179088.cl |
179088u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{14} \cdot 3^{4} \cdot 7^{3} \cdot 13^{4} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$847872$ |
$1.512358$ |
$-41454067728529/130135683132$ |
$0.93654$ |
$3.43376$ |
$[0, 1, 0, -11536, 1205012]$ |
\(y^2=x^3+x^2-11536x+1205012\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[]$ |
291018.a2 |
291018a1 |
291018.a |
291018a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{3} \cdot 13^{10} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5935104$ |
$2.101685$ |
$-41454067728529/130135683132$ |
$0.93654$ |
$3.86336$ |
$[1, 1, 0, -121852, -41548580]$ |
\(y^2+xy=x^3+x^2-121852x-41548580\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[]$ |
470106.dk2 |
470106dk1 |
470106.dk |
470106dk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{9} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$6.628494551$ |
$1$ |
|
$1$ |
$13565952$ |
$2.341473$ |
$-41454067728529/130135683132$ |
$0.93654$ |
$3.94181$ |
$[1, -1, 0, -317970, -174845952]$ |
\(y^2+xy=x^3-x^2-317970x-174845952\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[(241224/11, 110916588/11)]$ |