| 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 |
| 2535.c1 |
2535l1 |
2535.c |
2535l |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.092552971$ |
$1$ |
|
$8$ |
$576$ |
$-0.258699$ |
$-18264064/675$ |
$[0, 1, 1, -30, 56]$ |
\(y^2+y=x^3+x^2-30x+56\) |
6.2.0.a.1 |
| 2535.m1 |
2535g1 |
2535.m |
2535g |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7488$ |
$1.023775$ |
$-18264064/675$ |
$[0, 1, 1, -5126, 144005]$ |
\(y^2+y=x^3+x^2-5126x+144005\) |
6.2.0.a.1 |
| 7605.a1 |
7605t1 |
7605.a |
7605t |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.117336585$ |
$1$ |
|
$2$ |
$59904$ |
$1.573082$ |
$-18264064/675$ |
$[0, 0, 1, -46137, -3934278]$ |
\(y^2+y=x^3-46137x-3934278\) |
6.2.0.a.1 |
| 7605.s1 |
7605l1 |
7605.s |
7605l |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.290607$ |
$-18264064/675$ |
$[0, 0, 1, -273, -1791]$ |
\(y^2+y=x^3-273x-1791\) |
6.2.0.a.1 |
| 12675.a1 |
12675n1 |
12675.a |
12675n |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.533747553$ |
$1$ |
|
$6$ |
$179712$ |
$1.828495$ |
$-18264064/675$ |
$[0, -1, 1, -128158, 18256968]$ |
\(y^2+y=x^3-x^2-128158x+18256968\) |
6.2.0.a.1 |
| 12675.bj1 |
12675l1 |
12675.bj |
12675l |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.977483147$ |
$1$ |
|
$0$ |
$13824$ |
$0.546021$ |
$-18264064/675$ |
$[0, -1, 1, -758, 8543]$ |
\(y^2+y=x^3-x^2-758x+8543\) |
6.2.0.a.1 |
| 38025.l1 |
38025bv1 |
38025.l |
38025bv |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.095325$ |
$-18264064/675$ |
$[0, 0, 1, -6825, -223844]$ |
\(y^2+y=x^3-6825x-223844\) |
6.2.0.a.1 |
| 38025.cu1 |
38025bo1 |
38025.cu |
38025bo |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1437696$ |
$2.377800$ |
$-18264064/675$ |
$[0, 0, 1, -1153425, -491784719]$ |
\(y^2+y=x^3-1153425x-491784719\) |
6.2.0.a.1 |
| 40560.a1 |
40560bm1 |
40560.a |
40560bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$299520$ |
$1.716923$ |
$-18264064/675$ |
$[0, -1, 0, -82021, -9298355]$ |
\(y^2=x^3-x^2-82021x-9298355\) |
6.2.0.a.1 |
| 40560.bg1 |
40560bw1 |
40560.bg |
40560bw |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.738146877$ |
$1$ |
|
$0$ |
$23040$ |
$0.434448$ |
$-18264064/675$ |
$[0, -1, 0, -485, -4083]$ |
\(y^2=x^3-x^2-485x-4083\) |
6.2.0.a.1 |
| 121680.cu1 |
121680ec1 |
121680.cu |
121680ec |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.072710816$ |
$1$ |
|
$2$ |
$184320$ |
$0.983754$ |
$-18264064/675$ |
$[0, 0, 0, -4368, 114608]$ |
\(y^2=x^3-4368x+114608\) |
6.2.0.a.1 |
| 121680.cy1 |
121680fl1 |
121680.cy |
121680fl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2396160$ |
$2.266228$ |
$-18264064/675$ |
$[0, 0, 0, -738192, 251793776]$ |
\(y^2=x^3-738192x+251793776\) |
6.2.0.a.1 |
| 124215.c1 |
124215n1 |
124215.c |
124215n |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134784$ |
$0.714256$ |
$-18264064/675$ |
$[0, -1, 1, -1486, -22254]$ |
\(y^2+y=x^3-x^2-1486x-22254\) |
6.2.0.a.1 |
| 124215.cw1 |
124215bg1 |
124215.cw |
124215bg |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$21.04790720$ |
$1$ |
|
$0$ |
$1752192$ |
$1.996731$ |
$-18264064/675$ |
$[0, -1, 1, -251190, -49896169]$ |
\(y^2+y=x^3-x^2-251190x-49896169\) |
6.2.0.a.1 |
| 162240.b1 |
162240hn1 |
162240.b |
162240hn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.011434152$ |
$1$ |
|
$2$ |
$46080$ |
$0.087875$ |
$-18264064/675$ |
$[0, -1, 0, -121, 571]$ |
\(y^2=x^3-x^2-121x+571\) |
6.2.0.a.1 |
| 162240.ed1 |
162240hm1 |
162240.ed |
162240hm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$1.370350$ |
$-18264064/675$ |
$[0, -1, 0, -20505, 1172547]$ |
\(y^2=x^3-x^2-20505x+1172547\) |
6.2.0.a.1 |
| 162240.ge1 |
162240bx1 |
162240.ge |
162240bx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.389394948$ |
$1$ |
|
$2$ |
$46080$ |
$0.087875$ |
$-18264064/675$ |
$[0, 1, 0, -121, -571]$ |
\(y^2=x^3+x^2-121x-571\) |
6.2.0.a.1 |
| 162240.gh1 |
162240a1 |
162240.gh |
162240a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$1.370350$ |
$-18264064/675$ |
$[0, 1, 0, -20505, -1172547]$ |
\(y^2=x^3+x^2-20505x-1172547\) |
6.2.0.a.1 |
| 202800.fq1 |
202800bm1 |
202800.fq |
202800bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.208958031$ |
$1$ |
|
$2$ |
$552960$ |
$1.239168$ |
$-18264064/675$ |
$[0, 1, 0, -12133, -534637]$ |
\(y^2=x^3+x^2-12133x-534637\) |
6.2.0.a.1 |
| 202800.km1 |
202800dc1 |
202800.km |
202800dc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$10.88922553$ |
$1$ |
|
$0$ |
$7188480$ |
$2.521641$ |
$-18264064/675$ |
$[0, 1, 0, -2050533, -1166395437]$ |
\(y^2=x^3+x^2-2050533x-1166395437\) |
6.2.0.a.1 |
| 306735.d1 |
306735d1 |
306735.d |
306735d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.886411269$ |
$1$ |
|
$6$ |
$10483200$ |
$2.222725$ |
$-18264064/675$ |
$[0, 1, 1, -620286, -194152084]$ |
\(y^2+y=x^3+x^2-620286x-194152084\) |
6.2.0.a.1 |
| 306735.ci1 |
306735ci1 |
306735.ci |
306735ci |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$806400$ |
$0.940248$ |
$-18264064/675$ |
$[0, 1, 1, -3670, -89501]$ |
\(y^2+y=x^3+x^2-3670x-89501\) |
6.2.0.a.1 |
| 372645.g1 |
372645g1 |
372645.g |
372645g |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.669109889$ |
$1$ |
|
$6$ |
$14017536$ |
$2.546036$ |
$-18264064/675$ |
$[0, 0, 1, -2260713, 1349457268]$ |
\(y^2+y=x^3-2260713x+1349457268\) |
6.2.0.a.1 |
| 372645.fh1 |
372645fh1 |
372645.fh |
372645fh |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1078272$ |
$1.263563$ |
$-18264064/675$ |
$[0, 0, 1, -13377, 614227]$ |
\(y^2+y=x^3-13377x+614227\) |
6.2.0.a.1 |
| 486720.b1 |
486720b1 |
486720.b |
486720b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.963768792$ |
$1$ |
|
$2$ |
$4792320$ |
$1.919655$ |
$-18264064/675$ |
$[0, 0, 0, -184548, 31474222]$ |
\(y^2=x^3-184548x+31474222\) |
6.2.0.a.1 |
| 486720.ik1 |
486720ik1 |
486720.ik |
486720ik |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4792320$ |
$1.919655$ |
$-18264064/675$ |
$[0, 0, 0, -184548, -31474222]$ |
\(y^2=x^3-184548x-31474222\) |
6.2.0.a.1 |
| 486720.in1 |
486720in1 |
486720.in |
486720in |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.403205940$ |
$1$ |
|
$2$ |
$368640$ |
$0.637181$ |
$-18264064/675$ |
$[0, 0, 0, -1092, -14326]$ |
\(y^2=x^3-1092x-14326\) |
6.2.0.a.1 |
| 486720.qw1 |
486720qw1 |
486720.qw |
486720qw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$0.637181$ |
$-18264064/675$ |
$[0, 0, 0, -1092, 14326]$ |
\(y^2=x^3-1092x+14326\) |
6.2.0.a.1 |
