| 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 |
| 25242.f2 |
25242f1 |
25242.f |
25242f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{7} \cdot 601 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$50484$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$218736$ |
$1.837967$ |
$-78731237277328508209/17734929828102144$ |
$0.95180$ |
$4.55210$ |
$[1, 0, 0, -89291, 12097137]$ |
\(y^2+xy=x^3-89291x+12097137\) |
7.48.0-7.a.1.2, 50484.96.2.? |
$[]$ |
| 75726.g2 |
75726d1 |
75726.g |
75726d |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 601 \) |
\( - 2^{14} \cdot 3^{13} \cdot 7^{7} \cdot 601 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$50484$ |
$96$ |
$2$ |
$2.615962807$ |
$1$ |
|
$2$ |
$1749888$ |
$2.387272$ |
$-78731237277328508209/17734929828102144$ |
$0.95180$ |
$4.69369$ |
$[1, -1, 0, -803619, -326622699]$ |
\(y^2+xy=x^3-x^2-803619x-326622699\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 16828.48.0.?, 50484.96.2.? |
$[(1926, 71613)]$ |
| 176694.h2 |
176694c1 |
176694.h |
176694c |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 601 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{13} \cdot 601 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$50484$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$10499328$ |
$2.810921$ |
$-78731237277328508209/17734929828102144$ |
$0.95180$ |
$4.78530$ |
$[1, 1, 1, -4375260, -4153693251]$ |
\(y^2+xy+y=x^3+x^2-4375260x-4153693251\) |
7.48.0-7.a.1.1, 50484.96.2.? |
$[]$ |
| 201936.d2 |
201936i1 |
201936.d |
201936i |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{26} \cdot 3^{7} \cdot 7^{7} \cdot 601 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$50484$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$5249664$ |
$2.531113$ |
$-78731237277328508209/17734929828102144$ |
$0.95180$ |
$4.45812$ |
$[0, -1, 0, -1428656, -774216768]$ |
\(y^2=x^3-x^2-1428656x-774216768\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 25242.48.0.?, 50484.96.2.? |
$[]$ |
