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 |
8190.e1 |
8190a2 |
8190.e |
8190a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.891040307$ |
$1$ |
|
$6$ |
$2560$ |
$0.232449$ |
$7111117467/4057690$ |
$[1, -1, 0, -120, 90]$ |
\(y^2+xy=x^3-x^2-120x+90\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-9, 24)]$ |
8190.bl1 |
8190be2 |
8190.bl |
8190be |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$3.570609742$ |
$1$ |
|
$0$ |
$7680$ |
$0.781755$ |
$7111117467/4057690$ |
$[1, -1, 1, -1082, -1349]$ |
\(y^2+xy+y=x^3-x^2-1082x-1349\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(191/2, 1667/2)]$ |
40950.bt1 |
40950k2 |
40950.bt |
40950k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 5^{7} \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.591533154$ |
$1$ |
|
$8$ |
$184320$ |
$1.586473$ |
$7111117467/4057690$ |
$[1, -1, 0, -27042, -195634]$ |
\(y^2+xy=x^3-x^2-27042x-195634\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(229, 2248)]$ |
40950.fl1 |
40950df2 |
40950.fl |
40950df |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 5^{7} \cdot 7^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.037169$ |
$7111117467/4057690$ |
$[1, -1, 1, -3005, 8247]$ |
\(y^2+xy+y=x^3-x^2-3005x+8247\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
57330.cx1 |
57330k2 |
57330.cx |
57330k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$1.205404$ |
$7111117467/4057690$ |
$[1, -1, 0, -5889, -19097]$ |
\(y^2+xy=x^3-x^2-5889x-19097\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
57330.dg1 |
57330dd2 |
57330.dg |
57330dd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 5 \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.754711$ |
$7111117467/4057690$ |
$[1, -1, 1, -53003, 568621]$ |
\(y^2+xy+y=x^3-x^2-53003x+568621\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
65520.bb1 |
65520bx2 |
65520.bb |
65520bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.388738627$ |
$1$ |
|
$11$ |
$61440$ |
$0.925596$ |
$7111117467/4057690$ |
$[0, 0, 0, -1923, -3838]$ |
\(y^2=x^3-1923x-3838\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(89, 728)]$ |
65520.ei1 |
65520ch2 |
65520.ei |
65520ch |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{13} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.474903$ |
$7111117467/4057690$ |
$[0, 0, 0, -17307, 103626]$ |
\(y^2=x^3-17307x+103626\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
106470.bq1 |
106470i2 |
106470.bq |
106470i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.064228$ |
$7111117467/4057690$ |
$[1, -1, 0, -182805, -3511585]$ |
\(y^2+xy=x^3-x^2-182805x-3511585\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
106470.fm1 |
106470dv2 |
106470.fm |
106470dv |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$1.514923$ |
$7111117467/4057690$ |
$[1, -1, 1, -20312, 136829]$ |
\(y^2+xy+y=x^3-x^2-20312x+136829\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
262080.df1 |
262080df2 |
262080.df |
262080df |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{19} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.821476$ |
$7111117467/4057690$ |
$[0, 0, 0, -69228, -829008]$ |
\(y^2=x^3-69228x-829008\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
262080.el1 |
262080el2 |
262080.el |
262080el |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{19} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.821476$ |
$7111117467/4057690$ |
$[0, 0, 0, -69228, 829008]$ |
\(y^2=x^3-69228x+829008\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
262080.ho1 |
262080ho2 |
262080.ho |
262080ho |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{19} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.825249315$ |
$1$ |
|
$5$ |
$491520$ |
$1.272169$ |
$7111117467/4057690$ |
$[0, 0, 0, -7692, 30704]$ |
\(y^2=x^3-7692x+30704\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-35, 507)]$ |
262080.nc1 |
262080nc2 |
262080.nc |
262080nc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{19} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.052330548$ |
$1$ |
|
$7$ |
$491520$ |
$1.272169$ |
$7111117467/4057690$ |
$[0, 0, 0, -7692, -30704]$ |
\(y^2=x^3-7692x-30704\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-30, 416)]$ |
286650.be1 |
286650be2 |
286650.be |
286650be |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 5^{7} \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8847360$ |
$2.559429$ |
$7111117467/4057690$ |
$[1, -1, 0, -1325067, 69752591]$ |
\(y^2+xy=x^3-x^2-1325067x+69752591\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
286650.pu1 |
286650pu2 |
286650.pu |
286650pu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 5^{7} \cdot 7^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$3.226786909$ |
$1$ |
|
$0$ |
$2949120$ |
$2.010124$ |
$7111117467/4057690$ |
$[1, -1, 1, -147230, -2534353]$ |
\(y^2+xy+y=x^3-x^2-147230x-2534353\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(1611/2, 13085/2)]$ |
327600.bs1 |
327600bs2 |
327600.bs |
327600bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.934714954$ |
$1$ |
|
$5$ |
$1474560$ |
$1.730314$ |
$7111117467/4057690$ |
$[0, 0, 0, -48075, -479750]$ |
\(y^2=x^3-48075x-479750\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-49, 1326)]$ |
327600.fx1 |
327600fx2 |
327600.fx |
327600fx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.127804520$ |
$1$ |
|
$7$ |
$4423680$ |
$2.279621$ |
$7111117467/4057690$ |
$[0, 0, 0, -432675, 12953250]$ |
\(y^2=x^3-432675x+12953250\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-215, 9800)]$ |
458640.ga1 |
458640ga2 |
458640.ga |
458640ga |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{9} \cdot 5 \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.447857$ |
$7111117467/4057690$ |
$[0, 0, 0, -848043, -35543718]$ |
\(y^2=x^3-848043x-35543718\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
458640.ir1 |
458640ir2 |
458640.ir |
458640ir |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.914572362$ |
$1$ |
|
$3$ |
$2949120$ |
$1.898552$ |
$7111117467/4057690$ |
$[0, 0, 0, -94227, 1316434]$ |
\(y^2=x^3-94227x+1316434\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-175, 3528)]$ |