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 |
| 296.a1 |
296a1 |
296.a |
296a |
$1$ |
$1$ |
\( 2^{3} \cdot 37 \) |
\( 2^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.085352993$ |
$1$ |
|
$10$ |
$16$ |
$-0.502240$ |
$351232/37$ |
$0.74527$ |
$3.21849$ |
$1$ |
$[0, -1, 0, -9, 13]$ |
\(y^2=x^3-x^2-9x+13\) |
74.2.0.? |
$[(1, 2)]$ |
$1$ |
| 296.b1 |
296b1 |
296.b |
296b |
$1$ |
$1$ |
\( 2^{3} \cdot 37 \) |
\( 2^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.167921841$ |
$1$ |
|
$6$ |
$16$ |
$-0.356168$ |
$16000000/37$ |
$0.93985$ |
$3.88961$ |
$1$ |
$[0, -1, 0, -33, 85]$ |
\(y^2=x^3-x^2-33x+85\) |
74.2.0.? |
$[(3, 2)]$ |
$1$ |
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