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 |
| 92.a1 |
92b1 |
92.a |
92b |
$1$ |
$1$ |
\( 2^{2} \cdot 23 \) |
\( - 2^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.049808397$ |
$1$ |
|
$12$ |
$6$ |
$-0.821413$ |
$-6912/23$ |
$0.66890$ |
$2.99066$ |
$1$ |
$[0, 0, 0, -1, 1]$ |
\(y^2=x^3-x+1\) |
46.2.0.a.1 |
$[(1, 1)]$ |
$1$ |
| 92.b1 |
92a2 |
92.b |
92a |
$2$ |
$3$ |
\( 2^{2} \cdot 23 \) |
\( - 2^{4} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$138$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.269963$ |
$-42592000/12167$ |
$0.87185$ |
$4.58690$ |
$1$ |
$[0, 1, 0, -18, -43]$ |
\(y^2=x^3+x^2-18x-43\) |
3.8.0-3.a.1.1, 46.2.0.a.1, 138.16.0.? |
$[ ]$ |
$1$ |
| 92.b2 |
92a1 |
92.b |
92a |
$2$ |
$3$ |
\( 2^{2} \cdot 23 \) |
\( - 2^{4} \cdot 23 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$138$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.819269$ |
$32000/23$ |
$0.71982$ |
$2.90727$ |
$1$ |
$[0, 1, 0, 2, 1]$ |
\(y^2=x^3+x^2+2x+1\) |
3.8.0-3.a.1.2, 46.2.0.a.1, 138.16.0.? |
$[ ]$ |
$1$ |
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