| 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 |
| 1525.a1 |
1525c2 |
1525.a |
1525c |
$2$ |
$2$ |
\( 5^{2} \cdot 61 \) |
\( 5^{3} \cdot 61^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1220$ |
$12$ |
$0$ |
$0.814290832$ |
$1$ |
|
$16$ |
$224$ |
$-0.180874$ |
$31855013/3721$ |
$0.89136$ |
$3.01579$ |
$[1, 0, 0, -33, -68]$ |
\(y^2+xy=x^3-33x-68\) |
2.3.0.a.1, 10.6.0.a.1, 244.6.0.?, 1220.12.0.? |
$[(-3, 4), (-4, 4)]$ |
| 1525.a2 |
1525c1 |
1525.a |
1525c |
$2$ |
$2$ |
\( 5^{2} \cdot 61 \) |
\( 5^{3} \cdot 61 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1220$ |
$12$ |
$0$ |
$0.814290832$ |
$1$ |
|
$17$ |
$112$ |
$-0.527448$ |
$456533/61$ |
$0.82341$ |
$2.43661$ |
$[1, 0, 0, -8, 7]$ |
\(y^2+xy=x^3-8x+7\) |
2.3.0.a.1, 20.6.0.c.1, 244.6.0.?, 610.6.0.?, 1220.12.0.? |
$[(1, 0), (3, 2)]$ |
| 1525.b1 |
1525a1 |
1525.b |
1525a |
$1$ |
$1$ |
\( 5^{2} \cdot 61 \) |
\( - 5^{6} \cdot 61 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$244$ |
$2$ |
$0$ |
$1.510832051$ |
$1$ |
|
$2$ |
$216$ |
$-0.100740$ |
$-912673/61$ |
$0.79530$ |
$3.20476$ |
$[1, 1, 0, -50, 125]$ |
\(y^2+xy=x^3+x^2-50x+125\) |
244.2.0.? |
$[(4, 1)]$ |
| 1525.c1 |
1525b2 |
1525.c |
1525b |
$2$ |
$2$ |
\( 5^{2} \cdot 61 \) |
\( 5^{9} \cdot 61^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1120$ |
$0.623845$ |
$31855013/3721$ |
$0.89136$ |
$4.33325$ |
$[1, 1, 0, -825, -8500]$ |
\(y^2+xy=x^3+x^2-825x-8500\) |
2.3.0.a.1, 10.6.0.a.1, 244.6.0.?, 1220.12.0.? |
$[]$ |
| 1525.c2 |
1525b1 |
1525.c |
1525b |
$2$ |
$2$ |
\( 5^{2} \cdot 61 \) |
\( 5^{9} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$560$ |
$0.277271$ |
$456533/61$ |
$0.82341$ |
$3.75407$ |
$[1, 1, 0, -200, 875]$ |
\(y^2+xy=x^3+x^2-200x+875\) |
2.3.0.a.1, 20.6.0.c.1, 244.6.0.?, 610.6.0.?, 1220.12.0.? |
$[]$ |
