| 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 |
| 77315.e1 |
77315c2 |
77315.e |
77315c |
$2$ |
$2$ |
\( 5 \cdot 7 \cdot 47^{2} \) |
\( 5^{4} \cdot 7 \cdot 47^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$5.195230488$ |
$1$ |
|
$0$ |
$45312$ |
$0.591611$ |
$5517084663/4375$ |
$0.88714$ |
$3.01907$ |
$[1, -1, 0, -1730, -27249]$ |
\(y^2+xy=x^3-x^2-1730x-27249\) |
2.3.0.a.1, 28.6.0.d.1, 188.6.0.?, 658.6.0.?, 1316.12.0.? |
$[(807/2, 21543/2)]$ |
| 77315.g1 |
77315g2 |
77315.g |
77315g |
$2$ |
$2$ |
\( 5 \cdot 7 \cdot 47^{2} \) |
\( 5^{4} \cdot 7 \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2129664$ |
$2.516685$ |
$5517084663/4375$ |
$0.88714$ |
$5.07145$ |
$[1, -1, 0, -3821984, 2874935115]$ |
\(y^2+xy=x^3-x^2-3821984x+2874935115\) |
2.3.0.a.1, 28.6.0.d.1, 188.6.0.?, 658.6.0.?, 1316.12.0.? |
$[]$ |
| 386575.b1 |
386575b2 |
386575.b |
386575b |
$2$ |
$2$ |
\( 5^{2} \cdot 7 \cdot 47^{2} \) |
\( 5^{10} \cdot 7 \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1087488$ |
$1.396330$ |
$5517084663/4375$ |
$0.88714$ |
$3.39199$ |
$[1, -1, 1, -43255, -3449378]$ |
\(y^2+xy+y=x^3-x^2-43255x-3449378\) |
2.3.0.a.1, 28.6.0.d.1, 188.6.0.?, 658.6.0.?, 1316.12.0.? |
$[]$ |
| 386575.c1 |
386575c2 |
386575.c |
386575c |
$2$ |
$2$ |
\( 5^{2} \cdot 7 \cdot 47^{2} \) |
\( 5^{10} \cdot 7 \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$51111936$ |
$3.321404$ |
$5517084663/4375$ |
$0.88714$ |
$5.18761$ |
$[1, -1, 1, -95549605, 359271339772]$ |
\(y^2+xy+y=x^3-x^2-95549605x+359271339772\) |
2.3.0.a.1, 28.6.0.d.1, 188.6.0.?, 658.6.0.?, 1316.12.0.? |
$[]$ |
