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 |
| 1352.a1 |
1352b1 |
1352.a |
1352b |
$1$ |
$1$ |
\( 2^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$52$ |
$12$ |
$0$ |
$0.335503105$ |
$1$ |
|
$4$ |
$48$ |
$-0.636181$ |
$3328$ |
$0.66228$ |
$2.22109$ |
$1$ |
$[0, 1, 0, -4, 1]$ |
\(y^2=x^3+x^2-4x+1\) |
2.2.0.a.1, 26.6.0.a.1, 52.12.0-26.a.1.1 |
$[(0, 1)]$ |
$1$ |
| 1352.b1 |
1352a1 |
1352.b |
1352a |
$1$ |
$1$ |
\( 2^{3} \cdot 13^{2} \) |
\( - 2^{11} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$2.231595183$ |
$1$ |
|
$2$ |
$1344$ |
$0.889443$ |
$-235298/13$ |
$0.96559$ |
$4.92058$ |
$1$ |
$[0, 1, 0, -2760, -59344]$ |
\(y^2=x^3+x^2-2760x-59344\) |
104.2.0.? |
$[(199, 2704)]$ |
$1$ |
| 1352.c1 |
1352c1 |
1352.c |
1352c |
$1$ |
$1$ |
\( 2^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.2 |
2Cn |
$52$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$624$ |
$0.646294$ |
$3328$ |
$0.66228$ |
$4.35578$ |
$1$ |
$[0, 1, 0, -732, 5045]$ |
\(y^2=x^3+x^2-732x+5045\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 26.6.0.a.1, 52.12.0-26.a.1.3 |
$[ ]$ |
$1$ |
Download
displayed columns for
results
