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 |
10830.l1 |
10830j2 |
10830.l |
10830j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145920$ |
$2.059219$ |
$781484460931/900$ |
$[1, 0, 1, -1316214, 581105836]$ |
\(y^2+xy+y=x^3-1316214x+581105836\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
10830.t1 |
10830q2 |
10830.t |
10830q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.587000$ |
$781484460931/900$ |
$[1, 1, 1, -3646, -86257]$ |
\(y^2+xy+y=x^3+x^2-3646x-86257\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
32490.w1 |
32490q2 |
32490.w |
32490q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.517262325$ |
$1$ |
|
$8$ |
$61440$ |
$1.136305$ |
$781484460931/900$ |
$[1, -1, 0, -32814, 2296120]$ |
\(y^2+xy=x^3-x^2-32814x+2296120\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(101, 17)]$ |
32490.by1 |
32490br2 |
32490.by |
32490br |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1167360$ |
$2.608524$ |
$781484460931/900$ |
$[1, -1, 1, -11845922, -15689857579]$ |
\(y^2+xy+y=x^3-x^2-11845922x-15689857579\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
54150.v1 |
54150q2 |
54150.v |
54150q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.391718$ |
$781484460931/900$ |
$[1, 0, 1, -91151, -10599802]$ |
\(y^2+xy+y=x^3-91151x-10599802\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
54150.br1 |
54150bo2 |
54150.br |
54150bo |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3502080$ |
$2.863937$ |
$781484460931/900$ |
$[1, 1, 1, -32905338, 72638229531]$ |
\(y^2+xy+y=x^3+x^2-32905338x+72638229531\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
86640.d1 |
86640bq2 |
86640.d |
86640bq |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3502080$ |
$2.752365$ |
$781484460931/900$ |
$[0, -1, 0, -21059416, -37190773520]$ |
\(y^2=x^3-x^2-21059416x-37190773520\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
86640.ch1 |
86640cy2 |
86640.ch |
86640cy |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.401164045$ |
$1$ |
|
$5$ |
$184320$ |
$1.280148$ |
$781484460931/900$ |
$[0, 1, 0, -58336, 5403764]$ |
\(y^2=x^3+x^2-58336x+5403764\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(140, 18)]$ |
162450.l1 |
162450dj2 |
162450.l |
162450dj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28016640$ |
$3.413242$ |
$781484460931/900$ |
$[1, -1, 0, -296148042, -1961528345384]$ |
\(y^2+xy=x^3-x^2-296148042x-1961528345384\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
162450.dd1 |
162450v2 |
162450.dd |
162450v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.254327753$ |
$1$ |
|
$4$ |
$1474560$ |
$1.941025$ |
$781484460931/900$ |
$[1, -1, 1, -820355, 286194647]$ |
\(y^2+xy+y=x^3-x^2-820355x+286194647\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(499, 700)]$ |
259920.ep1 |
259920ep2 |
259920.ep |
259920ep |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.829453$ |
$781484460931/900$ |
$[0, 0, 0, -525027, -146426654]$ |
\(y^2=x^3-525027x-146426654\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
259920.er1 |
259920er2 |
259920.er |
259920er |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$28016640$ |
$3.301674$ |
$781484460931/900$ |
$[0, 0, 0, -189534747, 1004340419786]$ |
\(y^2=x^3-189534747x+1004340419786\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
346560.dr1 |
346560dr2 |
346560.dr |
346560dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.972812872$ |
$1$ |
|
$7$ |
$1474560$ |
$1.626720$ |
$781484460931/900$ |
$[0, -1, 0, -233345, 43463457]$ |
\(y^2=x^3-x^2-233345x+43463457\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(277, 64)]$ |
346560.ev1 |
346560ev2 |
346560.ev |
346560ev |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28016640$ |
$3.098938$ |
$781484460931/900$ |
$[0, -1, 0, -84237665, 297610425825]$ |
\(y^2=x^3-x^2-84237665x+297610425825\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
346560.je1 |
346560je2 |
346560.je |
346560je |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28016640$ |
$3.098938$ |
$781484460931/900$ |
$[0, 1, 0, -84237665, -297610425825]$ |
\(y^2=x^3+x^2-84237665x-297610425825\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
346560.ko1 |
346560ko2 |
346560.ko |
346560ko |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$15.28163782$ |
$1$ |
|
$1$ |
$1474560$ |
$1.626720$ |
$781484460931/900$ |
$[0, 1, 0, -233345, -43463457]$ |
\(y^2=x^3+x^2-233345x-43463457\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(14907157/19, 57552957540/19)]$ |
433200.eg1 |
433200eg2 |
433200.eg |
433200eg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.084866$ |
$781484460931/900$ |
$[0, -1, 0, -1458408, 678387312]$ |
\(y^2=x^3-x^2-1458408x+678387312\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
433200.jp1 |
433200jp2 |
433200.jp |
433200jp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$49.46030258$ |
$1$ |
|
$1$ |
$84049920$ |
$3.557087$ |
$781484460931/900$ |
$[0, 1, 0, -526485408, -4649899660812]$ |
\(y^2=x^3+x^2-526485408x-4649899660812\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(8454888491563501299708/389966227, 696499942684697738692175964198726/389966227)]$ |