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 |
31939.a1 |
31939c1 |
31939.a |
31939c |
$1$ |
$1$ |
\( 19 \cdot 41^{2} \) |
\( - 19 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.080892177$ |
$1$ |
|
$4$ |
$3360$ |
$-0.449940$ |
$14063/19$ |
$0.67899$ |
$1.66485$ |
$[1, 0, 0, 6, 7]$ |
\(y^2+xy=x^3+6x+7\) |
38.2.0.a.1 |
$[(-1, 1)]$ |
31939.b1 |
31939e1 |
31939.b |
31939e |
$1$ |
$1$ |
\( 19 \cdot 41^{2} \) |
\( - 19 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$5.879925883$ |
$1$ |
|
$0$ |
$137760$ |
$1.406845$ |
$14063/19$ |
$0.67899$ |
$3.81316$ |
$[1, 1, 1, 10051, 452254]$ |
\(y^2+xy+y=x^3+x^2+10051x+452254\) |
38.2.0.a.1 |
$[(33106/15, 7404451/15)]$ |
287451.k1 |
287451k1 |
287451.k |
287451k |
$1$ |
$1$ |
\( 3^{2} \cdot 19 \cdot 41^{2} \) |
\( - 3^{6} \cdot 19 \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$4.101721247$ |
$1$ |
|
$4$ |
$80640$ |
$0.099366$ |
$14063/19$ |
$0.67899$ |
$1.89825$ |
$[1, -1, 0, 54, -189]$ |
\(y^2+xy=x^3-x^2+54x-189\) |
38.2.0.a.1 |
$[(6, 15), (51/2, 345/2)]$ |
287451.l1 |
287451l1 |
287451.l |
287451l |
$1$ |
$1$ |
\( 3^{2} \cdot 19 \cdot 41^{2} \) |
\( - 3^{6} \cdot 19 \cdot 41^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3306240$ |
$1.956152$ |
$14063/19$ |
$0.67899$ |
$3.67101$ |
$[1, -1, 0, 90459, -12120404]$ |
\(y^2+xy=x^3-x^2+90459x-12120404\) |
38.2.0.a.1 |
$[]$ |