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 |
14520.p1 |
14520j1 |
14520.p |
14520j |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.395635678$ |
$1$ |
|
$6$ |
$1920$ |
$-0.096738$ |
$11264/75$ |
$0.79635$ |
$2.29799$ |
$[0, -1, 0, 15, -75]$ |
\(y^2=x^3-x^2+15x-75\) |
6.2.0.a.1 |
$[(5, 10)]$ |
14520.u1 |
14520bg1 |
14520.u |
14520bg |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$1.102211$ |
$11264/75$ |
$0.79635$ |
$3.79929$ |
$[0, -1, 0, 1775, 92677]$ |
\(y^2=x^3-x^2+1775x+92677\) |
6.2.0.a.1 |
$[]$ |
29040.dc1 |
29040bl1 |
29040.dc |
29040bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$42240$ |
$1.102211$ |
$11264/75$ |
$0.79635$ |
$3.54302$ |
$[0, 1, 0, 1775, -92677]$ |
\(y^2=x^3+x^2+1775x-92677\) |
6.2.0.a.1 |
$[]$ |
29040.dj1 |
29040bk1 |
29040.dj |
29040bk |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$-0.096738$ |
$11264/75$ |
$0.79635$ |
$2.14299$ |
$[0, 1, 0, 15, 75]$ |
\(y^2=x^3+x^2+15x+75\) |
6.2.0.a.1 |
$[]$ |
43560.k1 |
43560bu1 |
43560.k |
43560bu |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.494034734$ |
$1$ |
|
$18$ |
$15360$ |
$0.452569$ |
$11264/75$ |
$0.79635$ |
$2.67873$ |
$[0, 0, 0, 132, 1892]$ |
\(y^2=x^3+132x+1892\) |
6.2.0.a.1 |
$[(16, 90), (1, 45)]$ |
43560.w1 |
43560l1 |
43560.w |
43560l |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.287180623$ |
$1$ |
|
$8$ |
$168960$ |
$1.651516$ |
$11264/75$ |
$0.79635$ |
$4.02562$ |
$[0, 0, 0, 15972, -2518252]$ |
\(y^2=x^3+15972x-2518252\) |
6.2.0.a.1 |
$[(484, 10890)]$ |
72600.cz1 |
72600bm1 |
72600.cz |
72600bm |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.723039722$ |
$1$ |
|
$2$ |
$506880$ |
$1.906929$ |
$11264/75$ |
$0.79635$ |
$4.11573$ |
$[0, 1, 0, 44367, 11673363]$ |
\(y^2=x^3+x^2+44367x+11673363\) |
6.2.0.a.1 |
$[(263, 6450)]$ |
72600.ds1 |
72600ds1 |
72600.ds |
72600ds |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$0.707981$ |
$11264/75$ |
$0.79635$ |
$2.83031$ |
$[0, 1, 0, 367, -8637]$ |
\(y^2=x^3+x^2+367x-8637\) |
6.2.0.a.1 |
$[]$ |
87120.bd1 |
87120ba1 |
87120.bd |
87120ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.555565082$ |
$1$ |
|
$2$ |
$337920$ |
$1.651516$ |
$11264/75$ |
$0.79635$ |
$3.78032$ |
$[0, 0, 0, 15972, 2518252]$ |
\(y^2=x^3+15972x+2518252\) |
6.2.0.a.1 |
$[(-39, 1355)]$ |
87120.bw1 |
87120y1 |
87120.bw |
87120y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.156848367$ |
$1$ |
|
$2$ |
$30720$ |
$0.452569$ |
$11264/75$ |
$0.79635$ |
$2.51550$ |
$[0, 0, 0, 132, -1892]$ |
\(y^2=x^3+132x-1892\) |
6.2.0.a.1 |
$[(9, 5)]$ |
116160.u1 |
116160fj1 |
116160.u |
116160fj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$8.397134808$ |
$1$ |
|
$0$ |
$337920$ |
$1.448784$ |
$11264/75$ |
$0.79635$ |
$3.47848$ |
$[0, -1, 0, 7099, -748515]$ |
\(y^2=x^3-x^2+7099x-748515\) |
6.2.0.a.1 |
$[(9412/3, 915335/3)]$ |
116160.bm1 |
116160fh1 |
116160.bm |
116160fh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.746217825$ |
$1$ |
|
$2$ |
$30720$ |
$0.249836$ |
$11264/75$ |
$0.79635$ |
$2.24486$ |
$[0, -1, 0, 59, 541]$ |
\(y^2=x^3-x^2+59x+541\) |
6.2.0.a.1 |
$[(-4, 15)]$ |
116160.fr1 |
116160de1 |
116160.fr |
116160de |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.596514024$ |
$1$ |
|
$0$ |
$30720$ |
$0.249836$ |
$11264/75$ |
$0.79635$ |
$2.24486$ |
$[0, 1, 0, 59, -541]$ |
\(y^2=x^3+x^2+59x-541\) |
6.2.0.a.1 |
$[(166/3, 2285/3)]$ |
116160.gj1 |
116160db1 |
116160.gj |
116160db |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.195249689$ |
$1$ |
|
$0$ |
$337920$ |
$1.448784$ |
$11264/75$ |
$0.79635$ |
$3.47848$ |
$[0, 1, 0, 7099, 748515]$ |
\(y^2=x^3+x^2+7099x+748515\) |
6.2.0.a.1 |
$[(118/3, 24805/3)]$ |
145200.ci1 |
145200kd1 |
145200.ci |
145200kd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$0.707981$ |
$11264/75$ |
$0.79635$ |
$2.66526$ |
$[0, -1, 0, 367, 8637]$ |
\(y^2=x^3-x^2+367x+8637\) |
6.2.0.a.1 |
$[]$ |
145200.dl1 |
145200kp1 |
145200.dl |
145200kp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1013760$ |
$1.906929$ |
$11264/75$ |
$0.79635$ |
$3.87572$ |
$[0, -1, 0, 44367, -11673363]$ |
\(y^2=x^3-x^2+44367x-11673363\) |
6.2.0.a.1 |
$[]$ |
217800.cp1 |
217800bq1 |
217800.cp |
217800bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4055040$ |
$2.456234$ |
$11264/75$ |
$0.79635$ |
$4.28415$ |
$[0, 0, 0, 399300, -314781500]$ |
\(y^2=x^3+399300x-314781500\) |
6.2.0.a.1 |
$[]$ |
217800.et1 |
217800fy1 |
217800.et |
217800fy |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.005271521$ |
$1$ |
|
$4$ |
$368640$ |
$1.257288$ |
$11264/75$ |
$0.79635$ |
$3.11362$ |
$[0, 0, 0, 3300, 236500]$ |
\(y^2=x^3+3300x+236500\) |
6.2.0.a.1 |
$[(-10, 450)]$ |
348480.lw1 |
348480lw1 |
348480.lw |
348480lw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.589199383$ |
$1$ |
|
$2$ |
$2703360$ |
$1.998091$ |
$11264/75$ |
$0.79635$ |
$3.69555$ |
$[0, 0, 0, 63888, 20146016]$ |
\(y^2=x^3+63888x+20146016\) |
6.2.0.a.1 |
$[(121, 5445)]$ |
348480.md1 |
348480md1 |
348480.md |
348480md |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$245760$ |
$0.799142$ |
$11264/75$ |
$0.79635$ |
$2.56813$ |
$[0, 0, 0, 528, 15136]$ |
\(y^2=x^3+528x+15136\) |
6.2.0.a.1 |
$[]$ |
348480.oi1 |
348480oi1 |
348480.oi |
348480oi |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2703360$ |
$1.998091$ |
$11264/75$ |
$0.79635$ |
$3.69555$ |
$[0, 0, 0, 63888, -20146016]$ |
\(y^2=x^3+63888x-20146016\) |
6.2.0.a.1 |
$[]$ |
348480.op1 |
348480op1 |
348480.op |
348480op |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.427191253$ |
$1$ |
|
$2$ |
$245760$ |
$0.799142$ |
$11264/75$ |
$0.79635$ |
$2.56813$ |
$[0, 0, 0, 528, -15136]$ |
\(y^2=x^3+528x-15136\) |
6.2.0.a.1 |
$[(25, 117)]$ |
435600.ig1 |
435600ig1 |
435600.ig |
435600ig |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.232344546$ |
$1$ |
|
$2$ |
$737280$ |
$1.257288$ |
$11264/75$ |
$0.79635$ |
$2.94741$ |
$[0, 0, 0, 3300, -236500]$ |
\(y^2=x^3+3300x-236500\) |
6.2.0.a.1 |
$[(49, 207)]$ |
435600.mh1 |
435600mh1 |
435600.mh |
435600mh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.070061753$ |
$1$ |
|
$2$ |
$8110080$ |
$2.456234$ |
$11264/75$ |
$0.79635$ |
$4.05545$ |
$[0, 0, 0, 399300, 314781500]$ |
\(y^2=x^3+399300x+314781500\) |
6.2.0.a.1 |
$[(1081, 44829)]$ |