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.f1 |
409101f1 |
409101.f |
409101f |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{8} \cdot 11^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$21732480$ |
$2.854073$ |
$-925539769/5589$ |
$0.85237$ |
$4.65902$ |
$[1, 1, 1, -10776081, -13691025468]$ |
\(y^2+xy+y=x^3+x^2-10776081x-13691025468\) |
276.2.0.? |
$[]$ |
409101.p1 |
409101p1 |
409101.p |
409101p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{2} \cdot 11^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3104640$ |
$1.881117$ |
$-925539769/5589$ |
$0.85237$ |
$3.75546$ |
$[1, 0, 0, -219920, 39884109]$ |
\(y^2+xy=x^3-219920x+39884109\) |
276.2.0.? |
$[]$ |
409101.bj1 |
409101bj1 |
409101.bj |
409101bj |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{8} \cdot 11^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1975680$ |
$1.655125$ |
$-925539769/5589$ |
$0.85237$ |
$3.54559$ |
$[1, 1, 0, -89058, 10245789]$ |
\(y^2+xy=x^3+x^2-89058x+10245789\) |
276.2.0.? |
$[]$ |
409101.bw1 |
409101bw1 |
409101.bw |
409101bw |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{2} \cdot 11^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$282240$ |
$0.682169$ |
$-925539769/5589$ |
$0.85237$ |
$2.64204$ |
$[1, 0, 1, -1818, -30131]$ |
\(y^2+xy+y=x^3-1818x-30131\) |
276.2.0.? |
$[]$ |