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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
75810.b1 |
75810b1 |
75810.b |
75810b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1.542235762$ |
$1$ |
|
$4$ |
$1276800$ |
$2.050110$ |
$-533411731/1008000$ |
$[1, 1, 0, -115888, 31312768]$ |
\(y^2+xy=x^3+x^2-115888x+31312768\) |
5320.2.0.? |
$[(511, 10033)]$ |
75810.ct1 |
75810cq1 |
75810.ct |
75810cq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.735866637$ |
$1$ |
|
$4$ |
$67200$ |
$0.577889$ |
$-533411731/1008000$ |
$[1, 0, 0, -321, -4599]$ |
\(y^2+xy=x^3-321x-4599\) |
5320.2.0.? |
$[(30, 99)]$ |
227430.ce1 |
227430el1 |
227430.ce |
227430el |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.865200594$ |
$1$ |
|
$4$ |
$537600$ |
$1.127195$ |
$-533411731/1008000$ |
$[1, -1, 0, -2889, 124173]$ |
\(y^2+xy=x^3-x^2-2889x+124173\) |
5320.2.0.? |
$[(-33, 444)]$ |
227430.fg1 |
227430ba1 |
227430.fg |
227430ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10214400$ |
$2.599415$ |
$-533411731/1008000$ |
$[1, -1, 1, -1042997, -846487731]$ |
\(y^2+xy+y=x^3-x^2-1042997x-846487731\) |
5320.2.0.? |
$[]$ |
379050.bh1 |
379050bh1 |
379050.bh |
379050bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$1.382608$ |
$-533411731/1008000$ |
$[1, 1, 0, -8025, -574875]$ |
\(y^2+xy=x^3+x^2-8025x-574875\) |
5320.2.0.? |
$[]$ |
379050.jd1 |
379050jd1 |
379050.jd |
379050jd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30643200$ |
$2.854828$ |
$-533411731/1008000$ |
$[1, 0, 0, -2897213, 3919890417]$ |
\(y^2+xy=x^3-2897213x+3919890417\) |
5320.2.0.? |
$[]$ |