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 |
73689.j2 |
73689t2 |
73689.j |
73689t |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3 \cdot 7^{2} \cdot 11^{9} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$219648$ |
$1.464125$ |
$180362125/123627$ |
$0.82314$ |
$3.62178$ |
$[1, 0, 0, 15667, 325458]$ |
\(y^2+xy=x^3+15667x+325458\) |
2.3.0.a.1, 132.6.0.?, 2436.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[]$ |
73689.x2 |
73689v2 |
73689.x |
73689v |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3 \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19968$ |
$0.265177$ |
$180362125/123627$ |
$0.82314$ |
$2.33807$ |
$[1, 0, 1, 129, -233]$ |
\(y^2+xy+y=x^3+129x-233\) |
2.3.0.a.1, 132.6.0.?, 2436.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[]$ |
221067.g2 |
221067f2 |
221067.g |
221067f |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1.079260654$ |
$1$ |
|
$4$ |
$159744$ |
$0.814484$ |
$180362125/123627$ |
$0.82314$ |
$2.66498$ |
$[1, -1, 1, 1165, 6284]$ |
\(y^2+xy+y=x^3-x^2+1165x+6284\) |
2.3.0.a.1, 132.6.0.?, 2436.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[(3, 97)]$ |
221067.bd2 |
221067bd2 |
221067.bd |
221067bd |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{2} \cdot 11^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$4.149024353$ |
$1$ |
|
$0$ |
$1757184$ |
$2.013432$ |
$180362125/123627$ |
$0.82314$ |
$3.83409$ |
$[1, -1, 0, 141003, -8787366]$ |
\(y^2+xy=x^3-x^2+141003x-8787366\) |
2.3.0.a.1, 132.6.0.?, 2436.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[(2679/2, 154443/2)]$ |