The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000
| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 495.a1 |
495a3 |
495.a |
495a |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \) |
\( 3^{6} \cdot 5^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.318631780$ |
$1$ |
|
$4$ |
$128$ |
$0.263641$ |
$22930509321/6875$ |
$1.07717$ |
$4.90726$ |
$2$ |
$[1, -1, 1, -533, -4598]$ |
\(y^2+xy+y=x^3-x^2-533x-4598\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 44.12.0.h.1, $\ldots$ |
$[(-13, 7)]$ |
$1$ |
| 495.a2 |
495a4 |
495.a |
495a |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \) |
\( 3^{6} \cdot 5 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$0.329657945$ |
$1$ |
|
$8$ |
$128$ |
$0.263641$ |
$2749884201/73205$ |
$0.94591$ |
$4.56543$ |
$2$ |
$[1, -1, 1, -263, 1666]$ |
\(y^2+xy+y=x^3-x^2-263x+1666\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$ |
$[(8, 1)]$ |
$1$ |
| 495.a3 |
495a2 |
495.a |
495a |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \) |
\( 3^{6} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$0.659315890$ |
$1$ |
|
$14$ |
$64$ |
$-0.082933$ |
$8120601/3025$ |
$1.05560$ |
$3.62662$ |
$1$ |
$[1, -1, 1, -38, -44]$ |
\(y^2+xy+y=x^3-x^2-38x-44\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.a.1, 60.24.0-20.b.1.2, $\ldots$ |
$[(-4, 7)]$ |
$1$ |
| 495.a4 |
495a1 |
495.a |
495a |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \) |
\( - 3^{6} \cdot 5 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.318631780$ |
$1$ |
|
$5$ |
$32$ |
$-0.429506$ |
$59319/55$ |
$0.79207$ |
$2.83378$ |
$2$ |
$[1, -1, 1, 7, -8]$ |
\(y^2+xy+y=x^3-x^2+7x-8\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(2, 2)]$ |
$1$ |
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