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 |
185150.x1 |
185150cl1 |
185150.x |
185150cl |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{21} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$9.058045546$ |
$1$ |
|
$0$ |
$1572480$ |
$1.798649$ |
$-12268469813/14680064$ |
$0.91712$ |
$3.71897$ |
$[1, 1, 0, -48575, 7197125]$ |
\(y^2+xy=x^3+x^2-48575x+7197125\) |
280.2.0.? |
$[(-44615/16, 13570795/16)]$ |
185150.ba1 |
185150ck1 |
185150.ba |
185150ck |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{21} \cdot 5^{9} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$36167040$ |
$3.366398$ |
$-12268469813/14680064$ |
$0.91712$ |
$5.27006$ |
$[1, 1, 0, -25696450, -87824383500]$ |
\(y^2+xy=x^3+x^2-25696450x-87824383500\) |
280.2.0.? |
$[]$ |
185150.bj1 |
185150e1 |
185150.bj |
185150e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{21} \cdot 5^{3} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7233408$ |
$2.561676$ |
$-12268469813/14680064$ |
$0.91712$ |
$4.47389$ |
$[1, 0, 0, -1027858, -702595068]$ |
\(y^2+xy=x^3-1027858x-702595068\) |
280.2.0.? |
$[]$ |
185150.bl1 |
185150d1 |
185150.bl |
185150d |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{21} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$280$ |
$2$ |
$0$ |
$0.198737701$ |
$1$ |
|
$8$ |
$314496$ |
$0.993930$ |
$-12268469813/14680064$ |
$0.91712$ |
$2.92281$ |
$[1, 0, 0, -1943, 57577]$ |
\(y^2+xy=x^3-1943x+57577\) |
280.2.0.? |
$[(22, 149)]$ |