| 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 |
| 25350.a1 |
25350u1 |
25350.a |
25350u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5^{9} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$324480$ |
$1.840576$ |
$4459/18$ |
$0.84778$ |
$4.45686$ |
$[1, 1, 0, 40050, 7557750]$ |
\(y^2+xy=x^3+x^2+40050x+7557750\) |
40.2.0.a.1 |
$[]$ |
| 25350.b1 |
25350j1 |
25350.b |
25350j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{4} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$5.738402462$ |
$1$ |
|
$2$ |
$161280$ |
$1.422821$ |
$-79370312059129/12960$ |
$1.18524$ |
$4.61432$ |
$[1, 1, 0, -123750, -16807500]$ |
\(y^2+xy=x^3+x^2-123750x-16807500\) |
40.2.0.a.1 |
$[(4455, 294210)]$ |
| 25350.c1 |
25350t2 |
25350.c |
25350t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{16} \cdot 5^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1032192$ |
$2.490982$ |
$666276475992821/58199166792$ |
$1.01817$ |
$5.35975$ |
$[1, 1, 0, -1537565, -676828875]$ |
\(y^2+xy=x^3+x^2-1537565x-676828875\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 25350.c2 |
25350t1 |
25350.c |
25350t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$2.144409$ |
$623295446073461/5458752$ |
$1.01539$ |
$5.35317$ |
$[1, 1, 0, -1503765, -710392275]$ |
\(y^2+xy=x^3+x^2-1503765x-710392275\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
| 25350.d1 |
25350i7 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$8.066196398$ |
$1$ |
|
$0$ |
$1327104$ |
$2.651360$ |
$16778985534208729/81000$ |
$1.08181$ |
$6.15404$ |
$[1, 1, 0, -22534125, -41182072875]$ |
\(y^2+xy=x^3+x^2-22534125x-41182072875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(163165/4, 56546395/4)]$ |
| 25350.d2 |
25350i8 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{18} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$8.066196398$ |
$1$ |
|
$0$ |
$1327104$ |
$2.651360$ |
$10316097499609/5859375000$ |
$1.13600$ |
$5.42487$ |
$[1, 1, 0, -1916125, -139746875]$ |
\(y^2+xy=x^3+x^2-1916125x-139746875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(38799/2, 7525303/2)]$ |
| 25350.d3 |
25350i6 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$4.033098199$ |
$1$ |
|
$4$ |
$663552$ |
$2.304787$ |
$4102915888729/9000000$ |
$1.05221$ |
$5.33394$ |
$[1, 1, 0, -1409125, -643197875]$ |
\(y^2+xy=x^3+x^2-1409125x-643197875\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(9690, 941555)]$ |
| 25350.d4 |
25350i5 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$2.688732132$ |
$1$ |
|
$4$ |
$442368$ |
$2.102055$ |
$2656166199049/33750$ |
$1.05017$ |
$5.29107$ |
$[1, 1, 0, -1219000, 517515250]$ |
\(y^2+xy=x^3+x^2-1219000x+517515250\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(681, 1603)]$ |
| 25350.d5 |
25350i4 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$2.688732132$ |
$1$ |
|
$4$ |
$442368$ |
$2.102055$ |
$35578826569/5314410$ |
$1.03393$ |
$4.86575$ |
$[1, 1, 0, -289500, -51761250]$ |
\(y^2+xy=x^3+x^2-289500x-51761250\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(655, 6010)]$ |
| 25350.d6 |
25350i2 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$1.344366066$ |
$1$ |
|
$12$ |
$221184$ |
$1.755480$ |
$702595369/72900$ |
$1.00457$ |
$4.47872$ |
$[1, 1, 0, -78250, 7600000]$ |
\(y^2+xy=x^3+x^2-78250x+7600000\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(31, 2266)]$ |
| 25350.d7 |
25350i3 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$8.066196398$ |
$1$ |
|
$1$ |
$331776$ |
$1.958212$ |
$-273359449/1536000$ |
$1.04920$ |
$4.61946$ |
$[1, 1, 0, -57125, -17221875]$ |
\(y^2+xy=x^3+x^2-57125x-17221875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(29401/8, 3636055/8)]$ |
| 25350.d8 |
25350i1 |
25350.d |
25350i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$2.688732132$ |
$1$ |
|
$5$ |
$110592$ |
$1.408907$ |
$357911/2160$ |
$0.99689$ |
$3.95227$ |
$[1, 1, 0, 6250, 586500]$ |
\(y^2+xy=x^3+x^2+6250x+586500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(40, 930)]$ |
| 25350.e1 |
25350h2 |
25350.e |
25350h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$6.628577238$ |
$1$ |
|
$0$ |
$326592$ |
$1.990185$ |
$-168256703745625/30371328$ |
$1.05268$ |
$5.06535$ |
$[1, 1, 0, -568350, -165182220]$ |
\(y^2+xy=x^3+x^2-568350x-165182220\) |
3.4.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, 1560.16.0.? |
$[(65579/2, 16710713/2)]$ |
| 25350.e2 |
25350h1 |
25350.e |
25350h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$2.209525746$ |
$1$ |
|
$2$ |
$108864$ |
$1.440880$ |
$7604375/2047032$ |
$1.24246$ |
$4.00305$ |
$[1, 1, 0, 2025, -754515]$ |
\(y^2+xy=x^3+x^2+2025x-754515\) |
3.4.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, 1560.16.0.? |
$[(161, 1863)]$ |
| 25350.f1 |
25350f2 |
25350.f |
25350f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$26.19007531$ |
$1$ |
|
$0$ |
$2695680$ |
$2.956558$ |
$8066639494225/12$ |
$1.03176$ |
$6.54135$ |
$[1, 1, 0, -83445950, -293432001000]$ |
\(y^2+xy=x^3+x^2-83445950x-293432001000\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 |
$[(-25260986421534/69205, 867675118732148874/69205)]$ |
| 25350.f2 |
25350f1 |
25350.f |
25350f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$8.730025105$ |
$1$ |
|
$0$ |
$898560$ |
$2.407253$ |
$16462225/1728$ |
$0.93429$ |
$5.24928$ |
$[1, 1, 0, -1058450, -379663500]$ |
\(y^2+xy=x^3+x^2-1058450x-379663500\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 |
$[(-11364/5, 377526/5)]$ |
| 25350.g1 |
25350k4 |
25350.g |
25350k |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3993600$ |
$3.257198$ |
$18013780041269221/9216$ |
$1.09234$ |
$6.91986$ |
$[1, 1, 0, -299960300, 1999478034000]$ |
\(y^2+xy=x^3+x^2-299960300x+1999478034000\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 25350.g2 |
25350k3 |
25350.g |
25350k |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1996800$ |
$2.910625$ |
$-4395631034341/3145728$ |
$1.06506$ |
$6.09968$ |
$[1, 1, 0, -18744300, 31247250000]$ |
\(y^2+xy=x^3+x^2-18744300x+31247250000\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.2, $\ldots$ |
$[]$ |
| 25350.g3 |
25350k2 |
25350.g |
25350k |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$798720$ |
$2.452480$ |
$476379541/236196$ |
$1.06546$ |
$5.19922$ |
$[1, 1, 0, -893675, -123438375]$ |
\(y^2+xy=x^3+x^2-893675x-123438375\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 25350.g4 |
25350k1 |
25350.g |
25350k |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$399360$ |
$2.105907$ |
$5735339/3888$ |
$1.16005$ |
$4.76339$ |
$[1, 1, 0, 204825, -14686875]$ |
\(y^2+xy=x^3+x^2+204825x-14686875\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.1, $\ldots$ |
$[]$ |
| 25350.h1 |
25350v2 |
25350.h |
25350v |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{5} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$1560$ |
$48$ |
$1$ |
$1.786949595$ |
$1$ |
|
$2$ |
$36000$ |
$1.046247$ |
$-45646645/486$ |
$0.93642$ |
$3.76953$ |
$[1, 1, 0, -7075, -234125]$ |
\(y^2+xy=x^3+x^2-7075x-234125\) |
5.6.0.a.1, 65.24.0-65.a.2.1, 120.12.0.?, 312.2.0.?, 1560.48.1.? |
$[(135, 1070)]$ |
| 25350.h2 |
25350v1 |
25350.h |
25350v |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3 \cdot 5^{4} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$1560$ |
$48$ |
$1$ |
$0.357389919$ |
$1$ |
|
$4$ |
$7200$ |
$0.241528$ |
$33275/96$ |
$0.92603$ |
$2.55685$ |
$[1, 1, 0, 75, 525]$ |
\(y^2+xy=x^3+x^2+75x+525\) |
5.6.0.a.1, 65.24.0-65.a.1.1, 120.12.0.?, 312.2.0.?, 1560.48.1.? |
$[(5, 30)]$ |
| 25350.i1 |
25350q1 |
25350.i |
25350q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$314496$ |
$2.069530$ |
$-559043381/4608$ |
$0.99568$ |
$4.99320$ |
$[1, 1, 0, -443290, 114222100]$ |
\(y^2+xy=x^3+x^2-443290x+114222100\) |
40.2.0.a.1 |
$[]$ |
| 25350.j1 |
25350b2 |
25350.j |
25350b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$3.942450312$ |
$1$ |
|
$2$ |
$15552$ |
$0.431130$ |
$-23560361305/12288$ |
$0.97574$ |
$3.17858$ |
$[1, 1, 0, -965, -11955]$ |
\(y^2+xy=x^3+x^2-965x-11955\) |
3.4.0.a.1, 6.8.0.b.1, 195.8.0.?, 390.16.0.? |
$[(394, 7611)]$ |
| 25350.j2 |
25350b1 |
25350.j |
25350b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$1.314150104$ |
$1$ |
|
$2$ |
$5184$ |
$-0.118176$ |
$22295/432$ |
$0.92255$ |
$2.15389$ |
$[1, 1, 0, 10, -60]$ |
\(y^2+xy=x^3+x^2+10x-60\) |
3.4.0.a.1, 6.8.0.b.1, 195.8.0.?, 390.16.0.? |
$[(4, 6)]$ |
| 25350.k1 |
25350n1 |
25350.k |
25350n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{7} \cdot 5^{8} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3245760$ |
$3.287415$ |
$-3214683778008145/238496514048$ |
$1.01651$ |
$6.32041$ |
$[1, 1, 0, -37984950, -95726083500]$ |
\(y^2+xy=x^3+x^2-37984950x-95726083500\) |
312.2.0.? |
$[]$ |
| 25350.l1 |
25350m1 |
25350.l |
25350m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$312000$ |
$1.975851$ |
$13436683/7776$ |
$1.40608$ |
$4.62415$ |
$[1, 1, 0, 127930, -21900]$ |
\(y^2+xy=x^3+x^2+127930x-21900\) |
120.2.0.? |
$[]$ |
| 25350.m1 |
25350l1 |
25350.m |
25350l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$2.259224$ |
$822206905/768$ |
$0.94683$ |
$5.31753$ |
$[1, 1, 0, -1333075, -592497875]$ |
\(y^2+xy=x^3+x^2-1333075x-592497875\) |
12.2.0.a.1 |
$[]$ |
| 25350.n1 |
25350o2 |
25350.n |
25350o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{9} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$2.074444$ |
$248858189/27378$ |
$0.91336$ |
$4.85251$ |
$[1, 1, 0, -276825, 50335875]$ |
\(y^2+xy=x^3+x^2-276825x+50335875\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 25350.n2 |
25350o1 |
25350.n |
25350o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$215040$ |
$1.727869$ |
$3307949/468$ |
$0.85630$ |
$4.42644$ |
$[1, 1, 0, -65575, -5645375]$ |
\(y^2+xy=x^3+x^2-65575x-5645375\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
| 25350.o1 |
25350a1 |
25350.o |
25350a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.313740503$ |
$1$ |
|
$6$ |
$32256$ |
$0.858292$ |
$34295/1872$ |
$0.91399$ |
$3.31219$ |
$[1, 1, 0, 335, 22885]$ |
\(y^2+xy=x^3+x^2+335x+22885\) |
52.2.0.a.1 |
$[(31, 238)]$ |
| 25350.p1 |
25350p1 |
25350.p |
25350p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$2.501274$ |
$-2488672890625/2426112$ |
$1.09798$ |
$5.60223$ |
$[1, 1, 0, -3487825, 2507807125]$ |
\(y^2+xy=x^3+x^2-3487825x+2507807125\) |
52.2.0.a.1 |
$[]$ |
| 25350.q1 |
25350e1 |
25350.q |
25350e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1560$ |
$32$ |
$0$ |
$0.965284256$ |
$1$ |
|
$4$ |
$41472$ |
$0.937446$ |
$-156116857/186624$ |
$1.01025$ |
$3.42910$ |
$[1, 1, 0, -1550, 40500]$ |
\(y^2+xy=x^3+x^2-1550x+40500\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 195.8.0.?, $\ldots$ |
$[(-4, 218)]$ |
| 25350.q2 |
25350e2 |
25350.q |
25350e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1560$ |
$32$ |
$0$ |
$2.895852770$ |
$1$ |
|
$2$ |
$124416$ |
$1.486752$ |
$93603087383/150994944$ |
$1.05810$ |
$4.00666$ |
$[1, 1, 0, 13075, -763875]$ |
\(y^2+xy=x^3+x^2+13075x-763875\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 195.8.0.?, $\ldots$ |
$[(1946, 85043)]$ |
| 25350.r1 |
25350c4 |
25350.r |
25350c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{7} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$22.95301068$ |
$1$ |
|
$0$ |
$17418240$ |
$4.092583$ |
$73474353581350183614361/576510977802240$ |
$1.05636$ |
$7.66208$ |
$[1, 1, 0, -3686640025, -86158675326875]$ |
\(y^2+xy=x^3+x^2-3686640025x-86158675326875\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.8, 40.6.0.b.1, $\ldots$ |
$[(839046142335/1358, 760763600283984485/1358)]$ |
| 25350.r2 |
25350c3 |
25350.r |
25350c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$45.90602136$ |
$1$ |
|
$1$ |
$8709120$ |
$3.746006$ |
$-16818951115904497561/1592332281446400$ |
$1.03465$ |
$6.85042$ |
$[1, 1, 0, -225520025, -1406229886875]$ |
\(y^2+xy=x^3+x^2-225520025x-1406229886875\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.8, 30.24.0-6.a.1.3, $\ldots$ |
$[(11662629470091078195985/320221832, 1245995051150644880616847448045115/320221832)]$ |
| 25350.r3 |
25350c2 |
25350.r |
25350c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{18} \cdot 5^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$7.651003561$ |
$1$ |
|
$2$ |
$5806080$ |
$3.543274$ |
$453198971846635561/261896250564000$ |
$1.11183$ |
$6.47909$ |
$[1, 1, 0, -67610650, 8027072500]$ |
\(y^2+xy=x^3+x^2-67610650x+8027072500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.16, 40.6.0.b.1, $\ldots$ |
$[(453315, 304934530)]$ |
| 25350.r4 |
25350c1 |
25350.r |
25350c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{12} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$15.30200712$ |
$1$ |
|
$1$ |
$2903040$ |
$3.196701$ |
$7064514799444439/4094064000000$ |
$1.10261$ |
$6.06873$ |
$[1, 1, 0, 16889350, 1013572500]$ |
\(y^2+xy=x^3+x^2+16889350x+1013572500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.16, 30.24.0-6.a.1.4, $\ldots$ |
$[(2666500/173, 259638782550/173)]$ |
| 25350.s1 |
25350d1 |
25350.s |
25350d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{9} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$3.865096205$ |
$1$ |
|
$2$ |
$943488$ |
$2.548584$ |
$-2365581049/6750$ |
$0.97050$ |
$5.61068$ |
$[1, 1, 0, -3585000, 2617593750]$ |
\(y^2+xy=x^3+x^2-3585000x+2617593750\) |
3.4.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, 1560.16.0.? |
$[(875, 11875)]$ |
| 25350.s2 |
25350d2 |
25350.s |
25350d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{15} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$11.59528861$ |
$1$ |
|
$0$ |
$2830464$ |
$3.097893$ |
$18573478391/46875000$ |
$1.02244$ |
$5.93296$ |
$[1, 1, 0, 7125375, 13424362125]$ |
\(y^2+xy=x^3+x^2+7125375x+13424362125\) |
3.4.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, 1560.16.0.? |
$[(20191505/8, 90653124605/8)]$ |
| 25350.t1 |
25350w2 |
25350.t |
25350w |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$260$ |
$48$ |
$1$ |
$7.698914399$ |
$1$ |
|
$0$ |
$1872000$ |
$2.716660$ |
$-110940205/236196$ |
$0.98584$ |
$5.52512$ |
$[1, 1, 0, -1607700, -1697863500]$ |
\(y^2+xy=x^3+x^2-1607700x-1697863500\) |
5.6.0.a.1, 20.12.0.p.1, 52.2.0.a.1, 65.24.0-65.a.2.1, 260.48.1.? |
$[(1569891/7, 1959951468/7)]$ |
| 25350.t2 |
25350w1 |
25350.t |
25350w |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$260$ |
$48$ |
$1$ |
$1.539782879$ |
$1$ |
|
$4$ |
$374400$ |
$1.911942$ |
$-5674525/9216$ |
$0.97967$ |
$4.57673$ |
$[1, 1, 0, -69800, 13819200]$ |
\(y^2+xy=x^3+x^2-69800x+13819200\) |
5.6.0.a.1, 20.12.0.p.2, 52.2.0.a.1, 65.24.0-65.a.1.1, 260.48.1.? |
$[(239, 3176)]$ |
| 25350.u1 |
25350s1 |
25350.u |
25350s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.507122$ |
$125801065/34992$ |
$0.98501$ |
$4.12064$ |
$[1, 1, 0, -23325, -997875]$ |
\(y^2+xy=x^3+x^2-23325x-997875\) |
12.2.0.a.1 |
$[]$ |
| 25350.v1 |
25350g4 |
25350.v |
25350g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$11.80762247$ |
$1$ |
|
$2$ |
$5160960$ |
$3.284458$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$6.97839$ |
$[1, 1, 0, -365583000, 2690311164000]$ |
\(y^2+xy=x^3+x^2-365583000x+2690311164000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(1752119, 2318225680)]$ |
| 25350.v2 |
25350g3 |
25350.v |
25350g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{7} \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$11.80762247$ |
$1$ |
|
$0$ |
$5160960$ |
$3.284458$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$6.19898$ |
$[1, 1, 0, -26231000, 28768020000]$ |
\(y^2+xy=x^3+x^2-26231000x+28768020000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-272569/7, 18430943/7)]$ |
| 25350.v3 |
25350g2 |
25350.v |
25350g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$5.903811237$ |
$1$ |
|
$6$ |
$2580480$ |
$2.937885$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$6.15817$ |
$[1, 1, 0, -22851000, 42021000000]$ |
\(y^2+xy=x^3+x^2-22851000x+42021000000\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 60.12.0.b.1, $\ldots$ |
$[(-5481, 54201)]$ |
| 25350.v4 |
25350g1 |
25350.v |
25350g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{7} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$11.80762247$ |
$1$ |
|
$1$ |
$1290240$ |
$2.591309$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$5.39008$ |
$[1, 1, 0, -1219000, 855304000]$ |
\(y^2+xy=x^3+x^2-1219000x+855304000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[(21462960/7, 99358594840/7)]$ |
| 25350.w1 |
25350r1 |
25350.w |
25350r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{9} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$411840$ |
$1.963896$ |
$-895973/24$ |
$0.87305$ |
$4.80798$ |
$[1, 1, 0, -234575, 44632125]$ |
\(y^2+xy=x^3+x^2-234575x+44632125\) |
120.2.0.? |
$[]$ |
| 25350.x1 |
25350bv1 |
25350.x |
25350bv |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.385033481$ |
$1$ |
|
$4$ |
$4992$ |
$-0.246618$ |
$4459/18$ |
$0.84778$ |
$1.98693$ |
$[1, 0, 1, 9, 28]$ |
\(y^2+xy+y=x^3+9x+28\) |
40.2.0.a.1 |
$[(2, 6)]$ |
| 25350.y1 |
25350bf2 |
25350.y |
25350bf |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$260$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$28224000$ |
$4.231201$ |
$-134057911417971280740025/1872$ |
$1.08082$ |
$8.35623$ |
$[1, 0, 1, -38516158451, -2909464347279202]$ |
\(y^2+xy+y=x^3-38516158451x-2909464347279202\) |
5.12.0.a.2, 20.24.0-5.a.2.4, 52.2.0.a.1, 65.24.0-5.a.2.1, 260.48.1.? |
$[]$ |
