| 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 |
| 55506.n1 |
55506r1 |
55506.n |
55506r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.358885939$ |
$1$ |
|
$4$ |
$28800$ |
$0.431634$ |
$5011452097/1054152$ |
$0.89984$ |
$2.66101$ |
$[1, 0, 1, -337, -1924]$ |
\(y^2+xy+y=x^3-337x-1924\) |
8.2.0.b.1 |
$[(-8, 20)]$ |
| 55506.x1 |
55506bb1 |
55506.x |
55506bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{4} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.587945526$ |
$1$ |
|
$4$ |
$835200$ |
$2.115280$ |
$5011452097/1054152$ |
$0.89984$ |
$4.51046$ |
$[1, 1, 1, -283014, -46352325]$ |
\(y^2+xy+y=x^3+x^2-283014x-46352325\) |
8.2.0.b.1 |
$[(4555, 303005)]$ |
| 166518.w1 |
166518bv1 |
166518.w |
166518bv |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6681600$ |
$2.664589$ |
$5011452097/1054152$ |
$0.89984$ |
$4.64657$ |
$[1, -1, 0, -2547126, 1248965644]$ |
\(y^2+xy=x^3-x^2-2547126x+1248965644\) |
8.2.0.b.1 |
$[ ]$ |
| 166518.bz1 |
166518r1 |
166518.bz |
166518r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1.022410736$ |
$1$ |
|
$4$ |
$230400$ |
$0.980940$ |
$5011452097/1054152$ |
$0.89984$ |
$2.96612$ |
$[1, -1, 1, -3029, 51941]$ |
\(y^2+xy+y=x^3-x^2-3029x+51941\) |
8.2.0.b.1 |
$[(13, 114)]$ |
| 444048.i1 |
444048i1 |
444048.i |
444048i |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{4} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$2.210620927$ |
$1$ |
|
$12$ |
$691200$ |
$1.124781$ |
$5011452097/1054152$ |
$0.89984$ |
$2.87513$ |
$[0, -1, 0, -5384, 123120]$ |
\(y^2=x^3-x^2-5384x+123120\) |
8.2.0.b.1 |
$[(98, 726), (-23, 484)]$ |
| 444048.bu1 |
444048bu1 |
444048.bu |
444048bu |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{4} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.780675543$ |
$1$ |
|
$6$ |
$20044800$ |
$2.808430$ |
$5011452097/1054152$ |
$0.89984$ |
$4.42883$ |
$[0, 1, 0, -4528224, 2957492340]$ |
\(y^2=x^3+x^2-4528224x+2957492340\) |
8.2.0.b.1 |
$[(1962, 40368)]$ |
