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 |
86190.q1 |
86190s1 |
86190.q |
86190s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.777778142$ |
$1$ |
|
$7$ |
$64512$ |
$0.742205$ |
$2135227170133/832320$ |
$0.91067$ |
$3.17524$ |
$[1, 1, 0, -3487, -80699]$ |
\(y^2+xy=x^3+x^2-3487x-80699\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(-35, 19)]$ |
86190.bq1 |
86190bv1 |
86190.bq |
86190bv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.415150502$ |
$1$ |
|
$5$ |
$838656$ |
$2.024681$ |
$2135227170133/832320$ |
$0.91067$ |
$4.52946$ |
$[1, 1, 1, -589391, -174348907]$ |
\(y^2+xy+y=x^3+x^2-589391x-174348907\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(-441, -2)]$ |
258570.cf1 |
258570cf1 |
258570.cf |
258570cf |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{8} \cdot 5 \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$7.090388692$ |
$1$ |
|
$1$ |
$6709248$ |
$2.573986$ |
$2135227170133/832320$ |
$0.91067$ |
$4.65909$ |
$[1, -1, 0, -5304519, 4702115965]$ |
\(y^2+xy=x^3-x^2-5304519x+4702115965\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(12751/3, 126589/3)]$ |
258570.dn1 |
258570dn1 |
258570.dn |
258570dn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{8} \cdot 5 \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.161426874$ |
$1$ |
|
$7$ |
$516096$ |
$1.291512$ |
$2135227170133/832320$ |
$0.91067$ |
$3.42425$ |
$[1, -1, 1, -31388, 2147487]$ |
\(y^2+xy+y=x^3-x^2-31388x+2147487\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(105, -19)]$ |
430950.dk1 |
430950dk1 |
430950.dk |
430950dk |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{7} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20127744$ |
$2.829399$ |
$2135227170133/832320$ |
$0.91067$ |
$4.71188$ |
$[1, 0, 1, -14734776, -21764143802]$ |
\(y^2+xy+y=x^3-14734776x-21764143802\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
430950.hv1 |
430950hv1 |
430950.hv |
430950hv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{7} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$2.854982970$ |
$1$ |
|
$3$ |
$1548288$ |
$1.546925$ |
$2135227170133/832320$ |
$0.91067$ |
$3.52566$ |
$[1, 0, 0, -87188, -9913008]$ |
\(y^2+xy=x^3-87188x-9913008\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(732, 17484)]$ |