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 |
66300.f1 |
66300u1 |
66300.f |
66300u |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43776$ |
$0.678813$ |
$-243164694272/2490891$ |
$0.85158$ |
$3.04770$ |
$[0, -1, 0, -1638, -25203]$ |
\(y^2=x^3-x^2-1638x-25203\) |
510.2.0.? |
$[]$ |
66300.bo1 |
66300bl1 |
66300.bo |
66300bl |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.565964012$ |
$1$ |
|
$2$ |
$218880$ |
$1.483532$ |
$-243164694272/2490891$ |
$0.85158$ |
$3.91752$ |
$[0, 1, 0, -40958, -3232287]$ |
\(y^2=x^3+x^2-40958x-3232287\) |
510.2.0.? |
$[(1908, 82875)]$ |
198900.h1 |
198900b1 |
198900.h |
198900b |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$0.108705488$ |
$1$ |
|
$28$ |
$350208$ |
$1.228119$ |
$-243164694272/2490891$ |
$0.85158$ |
$3.31355$ |
$[0, 0, 0, -14745, 695225]$ |
\(y^2=x^3-14745x+695225\) |
510.2.0.? |
$[(181, 1989), (-125, 765)]$ |
198900.cf1 |
198900q1 |
198900.cf |
198900q |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1751040$ |
$2.032837$ |
$-243164694272/2490891$ |
$0.85158$ |
$4.10504$ |
$[0, 0, 0, -368625, 86903125]$ |
\(y^2=x^3-368625x+86903125\) |
510.2.0.? |
$[]$ |
265200.l1 |
265200l1 |
265200.l |
265200l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.462490436$ |
$1$ |
|
$4$ |
$875520$ |
$1.483532$ |
$-243164694272/2490891$ |
$0.85158$ |
$3.48264$ |
$[0, -1, 0, -40958, 3232287]$ |
\(y^2=x^3-x^2-40958x+3232287\) |
510.2.0.? |
$[(217, 2125), (81, 663)]$ |
265200.gr1 |
265200gr1 |
265200.gr |
265200gr |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.958374686$ |
$1$ |
|
$2$ |
$175104$ |
$0.678813$ |
$-243164694272/2490891$ |
$0.85158$ |
$2.70939$ |
$[0, 1, 0, -1638, 25203]$ |
\(y^2=x^3+x^2-1638x+25203\) |
510.2.0.? |
$[(23, 15)]$ |