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 |
123981.m1 |
123981d1 |
123981.m |
123981d |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3 \cdot 11^{2} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$233856$ |
$1.173218$ |
$103860107394697/22777711671$ |
$0.91427$ |
$3.23507$ |
$[1, 1, 0, -6474, -160719]$ |
\(y^2+xy=x^3+x^2-6474x-160719\) |
156.2.0.? |
$[ ]$ |
123981.s1 |
123981n1 |
123981.s |
123981n |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3 \cdot 11^{2} \cdot 13^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$17.69393579$ |
$1$ |
|
$0$ |
$3975552$ |
$2.589825$ |
$103860107394697/22777711671$ |
$0.91427$ |
$4.68454$ |
$[1, 0, 1, -1871137, -776514847]$ |
\(y^2+xy+y=x^3-1871137x-776514847\) |
156.2.0.? |
$[(-5929073609/2370, 70475306031929/2370)]$ |
371943.g1 |
371943g1 |
371943.g |
371943g |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3^{7} \cdot 11^{2} \cdot 13^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31804416$ |
$3.139130$ |
$103860107394697/22777711671$ |
$0.91427$ |
$4.79721$ |
$[1, -1, 1, -16840229, 20965900862]$ |
\(y^2+xy+y=x^3-x^2-16840229x+20965900862\) |
156.2.0.? |
$[ ]$ |
371943.p1 |
371943p1 |
371943.p |
371943p |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3^{7} \cdot 11^{2} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1870848$ |
$1.722523$ |
$103860107394697/22777711671$ |
$0.91427$ |
$3.47189$ |
$[1, -1, 1, -58271, 4281144]$ |
\(y^2+xy+y=x^3-x^2-58271x+4281144\) |
156.2.0.? |
$[ ]$ |