| 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 |
| 10400.f1 |
10400x1 |
10400.f |
10400x |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.438282121$ |
$1$ |
|
$4$ |
$1728$ |
$-0.095261$ |
$274360/169$ |
$0.82324$ |
$2.37626$ |
$[0, -1, 0, 32, -28]$ |
\(y^2=x^3-x^2+32x-28\) |
8.2.0.a.1 |
$[(8, 26)]$ |
| 10400.g1 |
10400bc1 |
10400.g |
10400bc |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.114985319$ |
$1$ |
|
$2$ |
$8640$ |
$0.709457$ |
$274360/169$ |
$0.82324$ |
$3.42027$ |
$[0, -1, 0, 792, 1912]$ |
\(y^2=x^3-x^2+792x+1912\) |
8.2.0.a.1 |
$[(1, 52)]$ |
| 10400.bd1 |
10400q1 |
10400.bd |
10400q |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.709457$ |
$274360/169$ |
$0.82324$ |
$3.42027$ |
$[0, 1, 0, 792, -1912]$ |
\(y^2=x^3+x^2+792x-1912\) |
8.2.0.a.1 |
$[]$ |
| 10400.be1 |
10400i1 |
10400.be |
10400i |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$-0.095261$ |
$274360/169$ |
$0.82324$ |
$2.37626$ |
$[0, 1, 0, 32, 28]$ |
\(y^2=x^3+x^2+32x+28\) |
8.2.0.a.1 |
$[]$ |
| 20800.bl1 |
20800l1 |
20800.bl |
20800l |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.955279817$ |
$1$ |
|
$2$ |
$6912$ |
$0.251312$ |
$274360/169$ |
$0.82324$ |
$2.62889$ |
$[0, -1, 0, 127, 97]$ |
\(y^2=x^3-x^2+127x+97\) |
8.2.0.a.1 |
$[(11, 52)]$ |
| 20800.bo1 |
20800bz1 |
20800.bo |
20800bz |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.448590315$ |
$1$ |
|
$6$ |
$34560$ |
$1.056032$ |
$274360/169$ |
$0.82324$ |
$3.60012$ |
$[0, -1, 0, 3167, -18463]$ |
\(y^2=x^3-x^2+3167x-18463\) |
8.2.0.a.1 |
$[(17, 200)]$ |
| 20800.cr1 |
20800bw1 |
20800.cr |
20800bw |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.380587178$ |
$1$ |
|
$4$ |
$34560$ |
$1.056032$ |
$274360/169$ |
$0.82324$ |
$3.60012$ |
$[0, 1, 0, 3167, 18463]$ |
\(y^2=x^3+x^2+3167x+18463\) |
8.2.0.a.1 |
$[(183, 2600)]$ |
| 20800.cu1 |
20800g1 |
20800.cu |
20800g |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.212424924$ |
$1$ |
|
$2$ |
$6912$ |
$0.251312$ |
$274360/169$ |
$0.82324$ |
$2.62889$ |
$[0, 1, 0, 127, -97]$ |
\(y^2=x^3+x^2+127x-97\) |
8.2.0.a.1 |
$[(2, 13)]$ |
| 93600.e1 |
93600ci1 |
93600.e |
93600ci |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.299171392$ |
$1$ |
|
$2$ |
$259200$ |
$1.258764$ |
$274360/169$ |
$0.82324$ |
$3.33960$ |
$[0, 0, 0, 7125, -58750]$ |
\(y^2=x^3+7125x-58750\) |
8.2.0.a.1 |
$[(50, 650)]$ |
| 93600.o1 |
93600by1 |
93600.o |
93600by |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.701510517$ |
$1$ |
|
$2$ |
$51840$ |
$0.454045$ |
$274360/169$ |
$0.82324$ |
$2.49599$ |
$[0, 0, 0, 285, 470]$ |
\(y^2=x^3+285x+470\) |
8.2.0.a.1 |
$[(29, 182)]$ |
| 93600.ep1 |
93600en1 |
93600.ep |
93600en |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$0.454045$ |
$274360/169$ |
$0.82324$ |
$2.49599$ |
$[0, 0, 0, 285, -470]$ |
\(y^2=x^3+285x-470\) |
8.2.0.a.1 |
$[]$ |
| 93600.ez1 |
93600ez1 |
93600.ez |
93600ez |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$259200$ |
$1.258764$ |
$274360/169$ |
$0.82324$ |
$3.33960$ |
$[0, 0, 0, 7125, 58750]$ |
\(y^2=x^3+7125x+58750\) |
8.2.0.a.1 |
$[]$ |
| 135200.bd1 |
135200ci1 |
135200.bd |
135200ci |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$1.991932$ |
$274360/169$ |
$0.82324$ |
$3.98034$ |
$[0, -1, 0, 133792, 4735912]$ |
\(y^2=x^3-x^2+133792x+4735912\) |
8.2.0.a.1 |
$[]$ |
| 135200.be1 |
135200cn1 |
135200.be |
135200cn |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.290396673$ |
$1$ |
|
$0$ |
$290304$ |
$1.187214$ |
$274360/169$ |
$0.82324$ |
$3.16298$ |
$[0, -1, 0, 5352, -40028]$ |
\(y^2=x^3-x^2+5352x-40028\) |
8.2.0.a.1 |
$[(264/5, 16562/5)]$ |
| 135200.ci1 |
135200bh1 |
135200.ci |
135200bh |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$1.187214$ |
$274360/169$ |
$0.82324$ |
$3.16298$ |
$[0, 1, 0, 5352, 40028]$ |
\(y^2=x^3+x^2+5352x+40028\) |
8.2.0.a.1 |
$[]$ |
| 135200.cj1 |
135200bd1 |
135200.cj |
135200bd |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.710125925$ |
$1$ |
|
$0$ |
$1451520$ |
$1.991932$ |
$274360/169$ |
$0.82324$ |
$3.98034$ |
$[0, 1, 0, 133792, -4735912]$ |
\(y^2=x^3+x^2+133792x-4735912\) |
8.2.0.a.1 |
$[(322/3, 8450/3)]$ |
| 187200.l1 |
187200kr1 |
187200.l |
187200kr |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.019030957$ |
$1$ |
|
$8$ |
$207360$ |
$0.800618$ |
$274360/169$ |
$0.82324$ |
$2.69606$ |
$[0, 0, 0, 1140, 3760]$ |
\(y^2=x^3+1140x+3760\) |
8.2.0.a.1 |
$[(6, 104), (84, 832)]$ |
| 187200.bu1 |
187200ir1 |
187200.bu |
187200ir |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$1.605337$ |
$274360/169$ |
$0.82324$ |
$3.49150$ |
$[0, 0, 0, 28500, -470000]$ |
\(y^2=x^3+28500x-470000\) |
8.2.0.a.1 |
$[]$ |
| 187200.ot1 |
187200kj1 |
187200.ot |
187200kj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$1.605337$ |
$274360/169$ |
$0.82324$ |
$3.49150$ |
$[0, 0, 0, 28500, 470000]$ |
\(y^2=x^3+28500x+470000\) |
8.2.0.a.1 |
$[]$ |
| 187200.qc1 |
187200ok1 |
187200.qc |
187200ok |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$0.800618$ |
$274360/169$ |
$0.82324$ |
$2.69606$ |
$[0, 0, 0, 1140, -3760]$ |
\(y^2=x^3+1140x-3760\) |
8.2.0.a.1 |
$[]$ |
| 270400.cn1 |
270400cn1 |
270400.cn |
270400cn |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.338505$ |
$274360/169$ |
$0.82324$ |
$4.09226$ |
$[0, -1, 0, 535167, -38422463]$ |
\(y^2=x^3-x^2+535167x-38422463\) |
8.2.0.a.1 |
$[]$ |
| 270400.cq1 |
270400cq1 |
270400.cq |
270400cq |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.102345481$ |
$1$ |
|
$4$ |
$1161216$ |
$1.533787$ |
$274360/169$ |
$0.82324$ |
$3.32020$ |
$[0, -1, 0, 21407, 298817]$ |
\(y^2=x^3-x^2+21407x+298817\) |
8.2.0.a.1 |
$[(61, 1352)]$ |
| 270400.hw1 |
270400hw1 |
270400.hw |
270400hw |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.307518144$ |
$1$ |
|
$2$ |
$1161216$ |
$1.533787$ |
$274360/169$ |
$0.82324$ |
$3.32020$ |
$[0, 1, 0, 21407, -298817]$ |
\(y^2=x^3+x^2+21407x-298817\) |
8.2.0.a.1 |
$[(267, 4952)]$ |
| 270400.hz1 |
270400hz1 |
270400.hz |
270400hz |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$5806080$ |
$2.338505$ |
$274360/169$ |
$0.82324$ |
$4.09226$ |
$[0, 1, 0, 535167, 38422463]$ |
\(y^2=x^3+x^2+535167x+38422463\) |
8.2.0.a.1 |
$[]$ |
