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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
22696.a1 |
22696a1 |
22696.a |
22696a |
$1$ |
$1$ |
\( 2^{3} \cdot 2837 \) |
\( 2^{8} \cdot 2837 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5674$ |
$2$ |
$0$ |
$0.483007207$ |
$1$ |
|
$40$ |
$8768$ |
$-0.033181$ |
$504871936/2837$ |
$0.72031$ |
$2.55086$ |
$[0, 1, 0, -105, 379]$ |
\(y^2=x^3+x^2-105x+379\) |
5674.2.0.? |
$[(5, 2), (7, 6), (6, 1)]$ |
45392.c1 |
45392a1 |
45392.c |
45392a |
$1$ |
$1$ |
\( 2^{4} \cdot 2837 \) |
\( 2^{8} \cdot 2837 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5674$ |
$2$ |
$0$ |
$4.992784802$ |
$1$ |
|
$0$ |
$17536$ |
$-0.033181$ |
$504871936/2837$ |
$0.72031$ |
$2.38597$ |
$[0, -1, 0, -105, -379]$ |
\(y^2=x^3-x^2-105x-379\) |
5674.2.0.? |
$[(125/2, 1287/2)]$ |
181568.c1 |
181568b1 |
181568.c |
181568b |
$1$ |
$1$ |
\( 2^{6} \cdot 2837 \) |
\( 2^{14} \cdot 2837 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5674$ |
$2$ |
$0$ |
$7.764711513$ |
$1$ |
|
$0$ |
$140288$ |
$0.313392$ |
$504871936/2837$ |
$0.72031$ |
$2.45627$ |
$[0, 1, 0, -421, -3453]$ |
\(y^2=x^3+x^2-421x-3453\) |
5674.2.0.? |
$[(1577/8, 21365/8)]$ |
181568.j1 |
181568j1 |
181568.j |
181568j |
$1$ |
$1$ |
\( 2^{6} \cdot 2837 \) |
\( 2^{14} \cdot 2837 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5674$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$140288$ |
$0.313392$ |
$504871936/2837$ |
$0.72031$ |
$2.45627$ |
$[0, -1, 0, -421, 3453]$ |
\(y^2=x^3-x^2-421x+3453\) |
5674.2.0.? |
$[]$ |
204264.c1 |
204264c1 |
204264.c |
204264c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 2837 \) |
\( 2^{8} \cdot 3^{6} \cdot 2837 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5674$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$210432$ |
$0.516125$ |
$504871936/2837$ |
$0.72031$ |
$2.63157$ |
$[0, 0, 0, -948, -11180]$ |
\(y^2=x^3-948x-11180\) |
5674.2.0.? |
$[]$ |
408528.i1 |
408528i1 |
408528.i |
408528i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 2837 \) |
\( 2^{8} \cdot 3^{6} \cdot 2837 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5674$ |
$2$ |
$0$ |
$3.790804178$ |
$1$ |
|
$0$ |
$420864$ |
$0.516125$ |
$504871936/2837$ |
$0.72031$ |
$2.49039$ |
$[0, 0, 0, -948, 11180]$ |
\(y^2=x^3-948x+11180\) |
5674.2.0.? |
$[(65/2, 65/2)]$ |