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 |
75810.p1 |
75810z1 |
75810.p |
75810z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$0.959324114$ |
$1$ |
|
$4$ |
$104832$ |
$0.636920$ |
$-93182366881/29393280$ |
$0.89911$ |
$2.81077$ |
$[1, 1, 0, -672, 8064]$ |
\(y^2+xy=x^3+x^2-672x+8064\) |
280.2.0.? |
$[(15, 33)]$ |
75810.dh1 |
75810dk1 |
75810.dh |
75810dk |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1991808$ |
$2.109138$ |
$-93182366881/29393280$ |
$0.89911$ |
$4.38310$ |
$[1, 0, 0, -242780, -57252720]$ |
\(y^2+xy=x^3-242780x-57252720\) |
280.2.0.? |
$[]$ |
227430.t1 |
227430fm1 |
227430.t |
227430fm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$15934464$ |
$2.658443$ |
$-93182366881/29393280$ |
$0.89911$ |
$4.52711$ |
$[1, -1, 0, -2185020, 1545823440]$ |
\(y^2+xy=x^3-x^2-2185020x+1545823440\) |
280.2.0.? |
$[]$ |
227430.eb1 |
227430ch1 |
227430.eb |
227430ch |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$838656$ |
$1.186226$ |
$-93182366881/29393280$ |
$0.89911$ |
$3.09483$ |
$[1, -1, 1, -6053, -223779]$ |
\(y^2+xy+y=x^3-x^2-6053x-223779\) |
280.2.0.? |
$[]$ |
379050.ba1 |
379050ba1 |
379050.ba |
379050ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47803392$ |
$2.913857$ |
$-93182366881/29393280$ |
$0.89911$ |
$4.58568$ |
$[1, 1, 0, -6069500, -7156590000]$ |
\(y^2+xy=x^3+x^2-6069500x-7156590000\) |
280.2.0.? |
$[]$ |
379050.iu1 |
379050iu1 |
379050.iu |
379050iu |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$0.139066123$ |
$1$ |
|
$10$ |
$2515968$ |
$1.441639$ |
$-93182366881/29393280$ |
$0.89911$ |
$3.21036$ |
$[1, 0, 0, -16813, 1041617]$ |
\(y^2+xy=x^3-16813x+1041617\) |
280.2.0.? |
$[(-58, 1379)]$ |