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 |
409101.z1 |
409101z1 |
409101.z |
409101z |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{9} \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$2.917671914$ |
$1$ |
|
$2$ |
$10881024$ |
$2.691578$ |
$-134217728/1863$ |
$1.01326$ |
$4.47564$ |
$[0, -1, 1, -4869685, 4187113545]$ |
\(y^2+y=x^3-x^2-4869685x+4187113545\) |
3542.2.0.? |
$[(1405, 10804)]$ |
409101.ba1 |
409101ba1 |
409101.ba |
409101ba |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{9} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$4.751146168$ |
$1$ |
|
$2$ |
$989184$ |
$1.492630$ |
$-134217728/1863$ |
$1.01326$ |
$3.36221$ |
$[0, -1, 1, -40245, -3131206]$ |
\(y^2+y=x^3-x^2-40245x-3131206\) |
3542.2.0.? |
$[(268, 2293)]$ |
409101.bb1 |
409101bb1 |
409101.bb |
409101bb |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{3} \cdot 11^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$0.560357089$ |
$1$ |
|
$12$ |
$141312$ |
$0.519674$ |
$-134217728/1863$ |
$1.01326$ |
$2.45866$ |
$[0, 1, 1, -821, 8894]$ |
\(y^2+y=x^3+x^2-821x+8894\) |
3542.2.0.? |
$[(16, 10), (-26, 115)]$ |
409101.bc1 |
409101bc1 |
409101.bc |
409101bc |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{3} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1554432$ |
$1.718622$ |
$-134217728/1863$ |
$1.01326$ |
$3.57208$ |
$[0, 1, 1, -99381, -12235723]$ |
\(y^2+y=x^3+x^2-99381x-12235723\) |
3542.2.0.? |
$[]$ |