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 |
116886.l1 |
116886q1 |
116886.l |
116886q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{4} \cdot 11^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$6072$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37306368$ |
$3.382755$ |
$-595911384446123713/60681357950976$ |
$1.04125$ |
$5.57633$ |
$[1, 0, 1, -51895330, -156044723980]$ |
\(y^2+xy+y=x^3-51895330x-156044723980\) |
4.2.0.a.1, 6072.4.0.? |
$[]$ |
116886.bj1 |
116886bw1 |
116886.bj |
116886bw |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{4} \cdot 11^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$552$ |
$4$ |
$0$ |
$0.028230680$ |
$1$ |
|
$58$ |
$3391488$ |
$2.183807$ |
$-595911384446123713/60681357950976$ |
$1.04125$ |
$4.34337$ |
$[1, 0, 0, -428887, 117199721]$ |
\(y^2+xy=x^3-428887x+117199721\) |
4.2.0.a.1, 552.4.0.? |
$[(-298, 14933), (-634, 11909)]$ |
350658.cd1 |
350658cd1 |
350658.cd |
350658cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{4} \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$184$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27131904$ |
$2.733116$ |
$-595911384446123713/60681357950976$ |
$1.04125$ |
$4.48591$ |
$[1, -1, 0, -3859983, -3164392467]$ |
\(y^2+xy=x^3-x^2-3859983x-3164392467\) |
4.2.0.a.1, 184.4.0.? |
$[]$ |
350658.em1 |
350658em1 |
350658.em |
350658em |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{4} \cdot 11^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$2024$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$298450944$ |
$3.932064$ |
$-595911384446123713/60681357950976$ |
$1.04125$ |
$5.61278$ |
$[1, -1, 1, -467057966, 4213207547453]$ |
\(y^2+xy+y=x^3-x^2-467057966x+4213207547453\) |
4.2.0.a.1, 2024.4.0.? |
$[]$ |