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 |
| 920.a1 |
920b1 |
920.a |
920b |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.055842642$ |
$1$ |
|
$10$ |
$288$ |
$0.125268$ |
$-45198971136/359375$ |
$0.91572$ |
$4.00338$ |
$1$ |
$[0, 0, 0, -187, 991]$ |
\(y^2=x^3-187x+991\) |
46.2.0.a.1 |
$[(7, 5)]$ |
$1$ |
| 920.b1 |
920d1 |
920.b |
920d |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.187156914$ |
$1$ |
|
$6$ |
$64$ |
$-0.292289$ |
$-256/14375$ |
$0.99213$ |
$2.90145$ |
$1$ |
$[0, -1, 0, 0, -23]$ |
\(y^2=x^3-x^2-23\) |
46.2.0.a.1 |
$[(4, 5)]$ |
$1$ |
| 920.c1 |
920a1 |
920.c |
920a |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 5^{3} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$0.068444770$ |
$1$ |
|
$10$ |
$720$ |
$0.860292$ |
$1366664500224/804542875$ |
$1.21975$ |
$4.90720$ |
$1$ |
$[0, 0, 0, 1468, -2844]$ |
\(y^2=x^3+1468x-2844\) |
230.2.0.? |
$[(302, 5290)]$ |
$1$ |
| 920.d1 |
920c1 |
920.d |
920c |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.222897833$ |
$1$ |
|
$4$ |
$32$ |
$-0.554423$ |
$340736/575$ |
$0.71221$ |
$2.36823$ |
$1$ |
$[0, 1, 0, 4, 5]$ |
\(y^2=x^3+x^2+4x+5\) |
46.2.0.a.1 |
$[(2, 5)]$ |
$1$ |
Download
displayed columns for
results