| 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 |
| 40931.a1 |
40931a3 |
40931.a |
40931a |
$3$ |
$25$ |
\( 11 \cdot 61^{2} \) |
\( - 11 \cdot 61^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$33550$ |
$1200$ |
$37$ |
$168.4744227$ |
$1$ |
|
$0$ |
$1110000$ |
$2.552147$ |
$-52893159101157376/11$ |
$1.09296$ |
$5.94863$ |
$[0, -1, 1, -29099460, -60409576035]$ |
\(y^2+y=x^3-x^2-29099460x-60409576035\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 275.300.12.?, $\ldots$ |
$[(741062655926499771976900146414403981461240273611984288843246168815888443289/223846232344202823847504133572453920, 18579614734042541175993088553504611419702951322378885150845715080571345011419359399160882563596224292286012610237/223846232344202823847504133572453920)]$ |
| 40931.a2 |
40931a2 |
40931.a |
40931a |
$3$ |
$25$ |
\( 11 \cdot 61^{2} \) |
\( - 11^{5} \cdot 61^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$33550$ |
$1200$ |
$37$ |
$33.69488454$ |
$1$ |
|
$0$ |
$222000$ |
$1.747427$ |
$-122023936/161051$ |
$1.01300$ |
$4.18781$ |
$[0, -1, 1, -38450, -5243475]$ |
\(y^2+y=x^3-x^2-38450x-5243475\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 275.300.12.?, 305.120.0.?, $\ldots$ |
$[(19060504686535369/7430880, 1945898503223314510468997/7430880)]$ |
| 40931.a3 |
40931a1 |
40931.a |
40931a |
$3$ |
$25$ |
\( 11 \cdot 61^{2} \) |
\( - 11 \cdot 61^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$33550$ |
$1200$ |
$37$ |
$6.738976909$ |
$1$ |
|
$0$ |
$44400$ |
$0.942708$ |
$-4096/11$ |
$0.82546$ |
$3.26875$ |
$[0, -1, 1, -1240, 40345]$ |
\(y^2+y=x^3-x^2-1240x+40345\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 275.300.12.?, $\ldots$ |
$[(21305/32, 4966035/32)]$ |
