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 |
25050.h1 |
25050h1 |
25050.h |
25050h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10020$ |
$12$ |
$0$ |
$2.915483944$ |
$1$ |
|
$3$ |
$5760$ |
$-0.110950$ |
$83453453/8016$ |
$0.79917$ |
$2.27752$ |
$[1, 0, 1, -46, -112]$ |
\(y^2+xy+y=x^3-46x-112\) |
2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.? |
$[(33, 169)]$ |
25050.q1 |
25050r1 |
25050.q |
25050r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28800$ |
$0.693769$ |
$83453453/8016$ |
$0.79917$ |
$3.23092$ |
$[1, 1, 1, -1138, -13969]$ |
\(y^2+xy+y=x^3+x^2-1138x-13969\) |
2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.? |
$[]$ |
75150.m1 |
75150r1 |
75150.m |
75150r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10020$ |
$12$ |
$0$ |
$2.617109790$ |
$1$ |
|
$5$ |
$230400$ |
$1.243076$ |
$83453453/8016$ |
$0.79917$ |
$3.50188$ |
$[1, -1, 0, -10242, 366916]$ |
\(y^2+xy=x^3-x^2-10242x+366916\) |
2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.? |
$[(80, 194)]$ |
75150.bj1 |
75150bq1 |
75150.bj |
75150bq |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10020$ |
$12$ |
$0$ |
$0.814438052$ |
$1$ |
|
$7$ |
$46080$ |
$0.438356$ |
$83453453/8016$ |
$0.79917$ |
$2.64177$ |
$[1, -1, 1, -410, 3017]$ |
\(y^2+xy+y=x^3-x^2-410x+3017\) |
2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.? |
$[(15, 1)]$ |
200400.j1 |
200400bc1 |
200400.j |
200400bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( 2^{16} \cdot 3 \cdot 5^{3} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$0.582197$ |
$83453453/8016$ |
$0.79917$ |
$2.57091$ |
$[0, -1, 0, -728, 7152]$ |
\(y^2=x^3-x^2-728x+7152\) |
2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.? |
$[]$ |
200400.ci1 |
200400d1 |
200400.ci |
200400d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( 2^{16} \cdot 3 \cdot 5^{9} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$691200$ |
$1.386917$ |
$83453453/8016$ |
$0.79917$ |
$3.36192$ |
$[0, 1, 0, -18208, 857588]$ |
\(y^2=x^3+x^2-18208x+857588\) |
2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.? |
$[]$ |