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 |
258570.a1 |
258570a2 |
258570.a |
258570a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$1.981503$ |
$2397007293813769/1088000000000$ |
$0.96524$ |
$3.78198$ |
$[1, -1, 0, -138735, 9271341]$ |
\(y^2+xy=x^3-x^2-138735x+9271341\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 680.2.0.?, 2040.8.0.?, 26520.16.0.? |
$[]$ |
258570.a2 |
258570a1 |
258570.a |
258570a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.432198$ |
$296431397798809/19652000$ |
$0.93306$ |
$3.61427$ |
$[1, -1, 0, -69120, -6976800]$ |
\(y^2+xy=x^3-x^2-69120x-6976800\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 680.2.0.?, 2040.8.0.?, 26520.16.0.? |
$[]$ |
258570.b1 |
258570b1 |
258570.b |
258570b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{19} \cdot 5^{3} \cdot 13^{7} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$167731200$ |
$3.794632$ |
$127591024063258622231/117712954934172000$ |
$1.08074$ |
$5.47839$ |
$[1, -1, 0, 159524730, -597850008300]$ |
\(y^2+xy=x^3-x^2+159524730x-597850008300\) |
26520.2.0.? |
$[]$ |
258570.c1 |
258570c1 |
258570.c |
258570c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{13} \cdot 5^{3} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.506895$ |
$-14442596600809/2528172000$ |
$0.91712$ |
$3.39303$ |
$[1, -1, 0, -25245, -1755675]$ |
\(y^2+xy=x^3-x^2-25245x-1755675\) |
120.2.0.? |
$[]$ |
258570.d1 |
258570d2 |
258570.d |
258570d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.754536152$ |
$1$ |
|
$14$ |
$774144$ |
$1.151276$ |
$7495014493/4176050$ |
$0.91613$ |
$2.97073$ |
$[1, -1, 0, -4770, 25650]$ |
\(y^2+xy=x^3-x^2-4770x+25650\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-33, 399), (1, 144)]$ |
258570.d2 |
258570d1 |
258570.d |
258570d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 13^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.754536152$ |
$1$ |
|
$15$ |
$387072$ |
$0.804703$ |
$3222118333/5780$ |
$0.84990$ |
$2.90300$ |
$[1, -1, 0, -3600, 83916]$ |
\(y^2+xy=x^3-x^2-3600x+83916\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(27, 63), (61, 267)]$ |
258570.e1 |
258570e1 |
258570.e |
258570e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1548288$ |
$1.571867$ |
$4980061835533/313344000$ |
$0.91872$ |
$3.49220$ |
$[1, -1, 0, -41625, -3075539]$ |
\(y^2+xy=x^3-x^2-41625x-3075539\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 2210.6.0.?, 8840.12.0.? |
$[]$ |
258570.e2 |
258570e2 |
258570.e |
258570e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{10} \cdot 5^{6} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3096576$ |
$1.918442$ |
$2539391358707/46818000000$ |
$0.96943$ |
$3.71333$ |
$[1, -1, 0, 33255, -12974675]$ |
\(y^2+xy=x^3-x^2+33255x-12974675\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[]$ |
258570.f1 |
258570f2 |
258570.f |
258570f |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{6} \cdot 5 \cdot 13^{8} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$185640$ |
$96$ |
$2$ |
$5.970117232$ |
$1$ |
|
$2$ |
$164376576$ |
$4.076660$ |
$420644261295449288721/4302712843796480$ |
$1.08984$ |
$5.98572$ |
$[1, -1, 0, -1312668915, 18143299242485]$ |
\(y^2+xy=x^3-x^2-1312668915x+18143299242485\) |
7.8.0.a.1, 21.16.0-7.a.1.1, 91.24.0.?, 273.48.0.?, 680.2.0.?, $\ldots$ |
$[(11987, 2026399)]$ |
258570.f2 |
258570f1 |
258570.f |
258570f |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{7} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$185640$ |
$96$ |
$2$ |
$41.79082062$ |
$1$ |
|
$0$ |
$23482368$ |
$3.103703$ |
$300853103177579121/10625000$ |
$1.07029$ |
$5.40456$ |
$[1, -1, 0, -117391065, -489524722075]$ |
\(y^2+xy=x^3-x^2-117391065x-489524722075\) |
7.8.0.a.1, 21.16.0-7.a.1.2, 91.24.0.?, 273.48.0.?, 680.2.0.?, $\ldots$ |
$[(-48237207617041265953/87809269, 2120802335058872497797722001/87809269)]$ |
258570.g1 |
258570g1 |
258570.g |
258570g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{5} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9123840$ |
$2.475994$ |
$4752182606640001/2546899200000$ |
$1.00640$ |
$4.24851$ |
$[1, -1, 0, -963585, 99204925]$ |
\(y^2+xy=x^3-x^2-963585x+99204925\) |
680.2.0.? |
$[]$ |
258570.h1 |
258570h1 |
258570.h |
258570h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.370194621$ |
$1$ |
|
$10$ |
$202752$ |
$0.595270$ |
$-3326427/11560$ |
$0.87429$ |
$2.44884$ |
$[1, -1, 0, -285, -4835]$ |
\(y^2+xy=x^3-x^2-285x-4835\) |
120.2.0.? |
$[(101, 944), (23, 8)]$ |
258570.i1 |
258570i1 |
258570.i |
258570i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$628320$ |
$1.161814$ |
$-116930169/170$ |
$0.88233$ |
$3.25453$ |
$[1, -1, 0, -15495, 747215]$ |
\(y^2+xy=x^3-x^2-15495x+747215\) |
680.2.0.? |
$[]$ |
258570.j1 |
258570j2 |
258570.j |
258570j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{2} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34836480$ |
$3.174381$ |
$10901014250685308569/1040774054400$ |
$1.02506$ |
$5.28101$ |
$[1, -1, 0, -70260345, -226643906579]$ |
\(y^2+xy=x^3-x^2-70260345x-226643906579\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
258570.j2 |
258570j1 |
258570.j |
258570j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3^{13} \cdot 5 \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17418240$ |
$2.827808$ |
$-2113364608155289/828431400960$ |
$0.99736$ |
$4.63661$ |
$[1, -1, 0, -4066425, -4086708755]$ |
\(y^2+xy=x^3-x^2-4066425x-4086708755\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
258570.k1 |
258570k2 |
258570.k |
258570k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.513180498$ |
$1$ |
|
$6$ |
$276480$ |
$0.799191$ |
$11712548511/835210$ |
$0.91116$ |
$2.74210$ |
$[1, -1, 0, -1845, -28105]$ |
\(y^2+xy=x^3-x^2-1845x-28105\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[(53, 118)]$ |
258570.k2 |
258570k1 |
258570.k |
258570k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.756590249$ |
$1$ |
|
$9$ |
$138240$ |
$0.452617$ |
$2146689/28900$ |
$0.88671$ |
$2.30067$ |
$[1, -1, 0, 105, -1975]$ |
\(y^2+xy=x^3-x^2+105x-1975\) |
2.3.0.a.1, 40.6.0.e.1, 78.6.0.?, 1560.12.0.? |
$[(23, 99)]$ |
258570.l1 |
258570l1 |
258570.l |
258570l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2 \cdot 3^{9} \cdot 5^{5} \cdot 13^{9} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5990400$ |
$2.391865$ |
$2146689/106250$ |
$0.87210$ |
$4.17146$ |
$[1, -1, 0, 159420, -225287074]$ |
\(y^2+xy=x^3-x^2+159420x-225287074\) |
26520.2.0.? |
$[]$ |
258570.m1 |
258570m1 |
258570.m |
258570m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{25} \cdot 5^{5} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33561600$ |
$3.140678$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$5.22252$ |
$[1, -1, 0, -55098315, 157462633381]$ |
\(y^2+xy=x^3-x^2-55098315x+157462633381\) |
120.2.0.? |
$[]$ |
258570.n1 |
258570n1 |
258570.n |
258570n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5 \cdot 13^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$2.800309628$ |
$1$ |
|
$4$ |
$2515968$ |
$1.992994$ |
$-82824840279/10880$ |
$0.97412$ |
$4.13391$ |
$[1, -1, 0, -598545, 178405085]$ |
\(y^2+xy=x^3-x^2-598545x+178405085\) |
26520.2.0.? |
$[(-887, 3739)]$ |
258570.o1 |
258570o1 |
258570.o |
258570o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$3.470783111$ |
$1$ |
|
$0$ |
$1806336$ |
$1.863165$ |
$3449795831/10608000$ |
$0.84910$ |
$3.64318$ |
$[1, -1, 0, 47880, 8363200]$ |
\(y^2+xy=x^3-x^2+47880x+8363200\) |
26520.2.0.? |
$[(-493/2, 6577/2)]$ |
258570.p1 |
258570p3 |
258570.p |
258570p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 13^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$3.080387103$ |
$1$ |
|
$5$ |
$46448640$ |
$3.411716$ |
$507102228823216499929/2648775168000$ |
$0.98241$ |
$5.58911$ |
$[1, -1, 0, -252689085, 1546121513925]$ |
\(y^2+xy=x^3-x^2-252689085x+1546121513925\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(9081, 11295)]$ |
258570.p2 |
258570p4 |
258570.p |
258570p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{6} \cdot 13^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$1.540193551$ |
$1$ |
|
$6$ |
$92897280$ |
$3.758289$ |
$-481184224995688814809/36713242449000000$ |
$0.98351$ |
$5.59484$ |
$[1, -1, 0, -248308605, 1602306426501]$ |
\(y^2+xy=x^3-x^2-248308605x+1602306426501\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ |
$[(-9870, 1763211)]$ |
258570.p3 |
258570p1 |
258570.p |
258570p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{18} \cdot 5 \cdot 13^{9} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$9.241161310$ |
$1$ |
|
$1$ |
$15482880$ |
$2.862411$ |
$2749236527524969/1587903192720$ |
$1.00701$ |
$4.61621$ |
$[1, -1, 0, -4439070, 159760836]$ |
\(y^2+xy=x^3-x^2-4439070x+159760836\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(198280/9, 44966566/9)]$ |
258570.p4 |
258570p2 |
258570.p |
258570p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 13^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$4.620580655$ |
$1$ |
|
$2$ |
$30965760$ |
$3.208984$ |
$175381844946241751/101691694692900$ |
$1.02427$ |
$4.94965$ |
$[1, -1, 0, 17737110, 1264134600]$ |
\(y^2+xy=x^3-x^2+17737110x+1264134600\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ |
$[(2298, 231564)]$ |
258570.q1 |
258570q2 |
258570.q |
258570q |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5 \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$13.20765271$ |
$1$ |
|
$0$ |
$3483648$ |
$2.025707$ |
$-1551926056705947/15448044160$ |
$0.95319$ |
$4.01292$ |
$[1, -1, 0, -360060, -83781424]$ |
\(y^2+xy=x^3-x^2-360060x-83781424\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 120.8.0.?, 1560.16.0.? |
$[(2188165/43, 2645026672/43)]$ |
258570.q2 |
258570q1 |
258570.q |
258570q |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$4.402550904$ |
$1$ |
|
$2$ |
$1161216$ |
$1.476402$ |
$71466688935837/75759616000$ |
$0.95486$ |
$3.23568$ |
$[1, -1, 0, 14340, -606384]$ |
\(y^2+xy=x^3-x^2+14340x-606384\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 120.8.0.?, 1560.16.0.? |
$[(45, 336)]$ |
258570.r1 |
258570r2 |
258570.r |
258570r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$3.215779030$ |
$1$ |
|
$4$ |
$811008$ |
$1.332098$ |
$6349095794413/520200$ |
$0.91885$ |
$3.51169$ |
$[1, -1, 0, -45135, -3679259]$ |
\(y^2+xy=x^3-x^2-45135x-3679259\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[(-123, 73)]$ |
258570.r2 |
258570r1 |
258570.r |
258570r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5 \cdot 13^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1.607889515$ |
$1$ |
|
$7$ |
$405504$ |
$0.985524$ |
$1892819053/440640$ |
$0.85238$ |
$2.86031$ |
$[1, -1, 0, -3015, -48515]$ |
\(y^2+xy=x^3-x^2-3015x-48515\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 2210.6.0.?, 8840.12.0.? |
$[(-42, 73)]$ |
258570.s1 |
258570s3 |
258570.s |
258570s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$26542080$ |
$2.949257$ |
$8010684753304969/4456448000000$ |
$1.04256$ |
$4.70202$ |
$[1, -1, 0, -6340320, 1210291200]$ |
\(y^2+xy=x^3-x^2-6340320x+1210291200\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
258570.s2 |
258570s1 |
258570.s |
258570s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.399952$ |
$1841373668746009/31443200$ |
$0.98941$ |
$4.58405$ |
$[1, -1, 0, -3883905, -2945109699]$ |
\(y^2+xy=x^3-x^2-3883905x-2945109699\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
258570.s3 |
258570s2 |
258570.s |
258570s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$17694720$ |
$2.746525$ |
$-1673672305534489/241375690000$ |
$0.99210$ |
$4.59424$ |
$[1, -1, 0, -3762225, -3138361875]$ |
\(y^2+xy=x^3-x^2-3762225x-3138361875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
258570.s4 |
258570s4 |
258570.s |
258570s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$53084160$ |
$3.295830$ |
$479958568556831351/289000000000000$ |
$1.05690$ |
$5.03043$ |
$[1, -1, 0, 24809760, 9564742656]$ |
\(y^2+xy=x^3-x^2+24809760x+9564742656\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
258570.t1 |
258570t1 |
258570.t |
258570t |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2040$ |
$16$ |
$0$ |
$5.589529576$ |
$1$ |
|
$2$ |
$470016$ |
$1.130789$ |
$-16310712210507/170$ |
$0.94861$ |
$3.52875$ |
$[1, -1, 0, -48450, 4116906]$ |
\(y^2+xy=x^3-x^2-48450x+4116906\) |
3.8.0-3.a.1.2, 2040.16.0.? |
$[(6945/8, 155637/8)]$ |
258570.t2 |
258570t2 |
258570.t |
258570t |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{3} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2040$ |
$16$ |
$0$ |
$1.863176525$ |
$1$ |
|
$2$ |
$1410048$ |
$1.680094$ |
$-19042681203/4913000$ |
$0.89588$ |
$3.54539$ |
$[1, -1, 0, -45915, 4564925]$ |
\(y^2+xy=x^3-x^2-45915x+4564925\) |
3.8.0-3.a.1.1, 2040.16.0.? |
$[(127, 814)]$ |
258570.u1 |
258570u1 |
258570.u |
258570u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5 \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2040$ |
$2$ |
$0$ |
$11.05127932$ |
$1$ |
|
$0$ |
$2416128$ |
$2.044365$ |
$-210525601/522240$ |
$0.84170$ |
$3.84673$ |
$[1, -1, 0, -104220, -29749680]$ |
\(y^2+xy=x^3-x^2-104220x-29749680\) |
2040.2.0.? |
$[(234657/8, 112244931/8)]$ |
258570.v1 |
258570v1 |
258570.v |
258570v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{19} \cdot 3^{14} \cdot 5^{3} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4902912$ |
$2.309875$ |
$2198425121541102649/7309688832000$ |
$0.97908$ |
$4.32931$ |
$[1, -1, 0, -1347930, -600280524]$ |
\(y^2+xy=x^3-x^2-1347930x-600280524\) |
680.2.0.? |
$[]$ |
258570.w1 |
258570w3 |
258570.w |
258570w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{26} \cdot 5^{3} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$10.72693521$ |
$1$ |
|
$0$ |
$227082240$ |
$4.188042$ |
$13911803308617281575038649/3274962248639250$ |
$1.08921$ |
$6.40910$ |
$[1, -1, 0, -7621067115, 256079572357675]$ |
\(y^2+xy=x^3-x^2-7621067115x+256079572357675\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 104.12.0.?, $\ldots$ |
$[(807573/4, 93911/4)]$ |
258570.w2 |
258570w4 |
258570.w |
258570w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{11} \cdot 5^{3} \cdot 13^{10} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$10.72693521$ |
$1$ |
|
$0$ |
$227082240$ |
$4.188042$ |
$26110972463417374518649/12103502452548360750$ |
$1.01197$ |
$5.90536$ |
$[1, -1, 0, -940074615, -4948790282825]$ |
\(y^2+xy=x^3-x^2-940074615x-4948790282825\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 52.12.0-4.c.1.1, $\ldots$ |
$[(-80041/2, 19429015/2)]$ |
258570.w3 |
258570w2 |
258570.w |
258570w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{6} \cdot 13^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$5.363467606$ |
$1$ |
|
$4$ |
$113541120$ |
$3.841469$ |
$3434099723394314778649/52092470525062500$ |
$0.98959$ |
$5.74259$ |
$[1, -1, 0, -478070865, 3970376912425]$ |
\(y^2+xy=x^3-x^2-478070865x+3970376912425\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.2, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(10790, 255605)]$ |
258570.w4 |
258570w1 |
258570.w |
258570w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{12} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$2.681733803$ |
$1$ |
|
$3$ |
$56770560$ |
$3.494896$ |
$-659616269778649/3566214843750000$ |
$1.03490$ |
$5.23525$ |
$[1, -1, 0, -2758365, 170443599925]$ |
\(y^2+xy=x^3-x^2-2758365x+170443599925\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 52.12.0-4.c.1.2, $\ldots$ |
$[(1778, 412823)]$ |
258570.x1 |
258570x2 |
258570.x |
258570x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{9} \cdot 5 \cdot 13^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$7.418639279$ |
$1$ |
|
$0$ |
$25546752$ |
$3.152672$ |
$276661817356633227/36134525440$ |
$0.98774$ |
$5.25068$ |
$[1, -1, 0, -61943010, 187639126676]$ |
\(y^2+xy=x^3-x^2-61943010x+187639126676\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(36515/2, 4913477/2)]$ |
258570.x2 |
258570x1 |
258570.x |
258570x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$3.709319639$ |
$1$ |
|
$3$ |
$12773376$ |
$2.806095$ |
$-51491303564427/24621875200$ |
$0.94787$ |
$4.60983$ |
$[1, -1, 0, -3536610, 3460384916]$ |
\(y^2+xy=x^3-x^2-3536610x+3460384916\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(7988, 692326)]$ |
258570.y1 |
258570y3 |
258570.y |
258570y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{26} \cdot 5 \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$13.52266664$ |
$1$ |
|
$0$ |
$68812800$ |
$3.635357$ |
$3221338935539503699129/200350631681460$ |
$0.98911$ |
$5.73746$ |
$[1, -1, 0, -467986635, 3896619421761]$ |
\(y^2+xy=x^3-x^2-467986635x+3896619421761\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 170.6.0.?, $\ldots$ |
$[(12909259/23, 32061288589/23)]$ |
258570.y2 |
258570y4 |
258570.y |
258570y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{11} \cdot 5^{4} \cdot 13^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$3.380666660$ |
$4$ |
$2$ |
$4$ |
$68812800$ |
$3.635357$ |
$120859257477573578809/8424459021127500$ |
$1.14097$ |
$5.47404$ |
$[1, -1, 0, -156668355, -707825723175]$ |
\(y^2+xy=x^3-x^2-156668355x-707825723175\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 120.12.0.?, 204.12.0.?, $\ldots$ |
$[(-7920, 194085)]$ |
258570.y3 |
258570y2 |
258570.y |
258570y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13260$ |
$48$ |
$0$ |
$6.761333321$ |
$1$ |
|
$4$ |
$34406400$ |
$3.288784$ |
$936615448738871929/194959225328400$ |
$1.08144$ |
$5.08407$ |
$[1, -1, 0, -31003335, 53176504941]$ |
\(y^2+xy=x^3-x^2-31003335x+53176504941\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 60.12.0.b.1, 204.12.0.?, 340.12.0.?, $\ldots$ |
$[(21226, 2982377)]$ |
258570.y4 |
258570y1 |
258570.y |
258570y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5 \cdot 13^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$3.380666660$ |
$1$ |
|
$3$ |
$17203200$ |
$2.942211$ |
$2266209994236551/4390344840960$ |
$0.94508$ |
$4.66918$ |
$[1, -1, 0, 4162185, 5006775645]$ |
\(y^2+xy=x^3-x^2+4162185x+5006775645\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 52.12.0-4.c.1.2, 60.12.0.g.1, $\ldots$ |
$[(297, 79029)]$ |
258570.z1 |
258570z1 |
258570.z |
258570z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 13^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2555904$ |
$1.970570$ |
$393832837/3060$ |
$0.82454$ |
$3.96919$ |
$[1, -1, 0, -301950, 63508576]$ |
\(y^2+xy=x^3-x^2-301950x+63508576\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 2210.6.0.?, 8840.12.0.? |
$[]$ |
258570.z2 |
258570z2 |
258570.z |
258570z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5111808$ |
$2.317142$ |
$-16194277/1170450$ |
$0.90187$ |
$4.10111$ |
$[1, -1, 0, -104220, 145329250]$ |
\(y^2+xy=x^3-x^2-104220x+145329250\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[]$ |
258570.ba1 |
258570ba1 |
258570.ba |
258570ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3^{11} \cdot 5 \cdot 13^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$9.918872131$ |
$1$ |
|
$0$ |
$24514560$ |
$3.122093$ |
$3342032927351/40685186580480$ |
$1.02602$ |
$4.87630$ |
$[1, -1, 0, 473760, -18203823104]$ |
\(y^2+xy=x^3-x^2+473760x-18203823104\) |
26520.2.0.? |
$[(3690491/29, 6323276578/29)]$ |