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 |
117600.a1 |
117600cd1 |
117600.a |
117600cd |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{9} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$8.217564131$ |
$1$ |
|
$1$ |
$983040$ |
$1.726330$ |
$36594368/21$ |
$1.07507$ |
$4.08861$ |
$[0, -1, 0, -169458, -26780088]$ |
\(y^2=x^3-x^2-169458x-26780088\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(24989/2, 3941119/2)]$ |
117600.a2 |
117600cd2 |
117600.a |
117600cd |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$4.108782065$ |
$1$ |
|
$5$ |
$1966080$ |
$2.072903$ |
$-314432/441$ |
$0.84263$ |
$4.14280$ |
$[0, -1, 0, -138833, -36794463]$ |
\(y^2=x^3-x^2-138833x-36794463\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(488, 3381)]$ |
117600.b1 |
117600j1 |
117600.b |
117600j |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.456097707$ |
$1$ |
|
$2$ |
$537600$ |
$1.574379$ |
$3584/3$ |
$0.82184$ |
$3.57394$ |
$[0, -1, 0, 22867, 881637]$ |
\(y^2=x^3-x^2+22867x+881637\) |
6.2.0.a.1 |
$[(-33, 300)]$ |
117600.c1 |
117600fk2 |
117600.c |
117600fk |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$8.258500180$ |
$1$ |
|
$1$ |
$2752512$ |
$2.274807$ |
$69934528/225$ |
$0.91085$ |
$4.58676$ |
$[0, -1, 0, -1177633, -490122863]$ |
\(y^2=x^3-x^2-1177633x-490122863\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[(108184/5, 34330527/5)]$ |
117600.c2 |
117600fk1 |
117600.c |
117600fk |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$4.129250090$ |
$1$ |
|
$3$ |
$1376256$ |
$1.928234$ |
$3241792/1875$ |
$1.20928$ |
$3.96747$ |
$[0, -1, 0, -105758, -275988]$ |
\(y^2=x^3-x^2-105758x-275988\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[(-278, 2750)]$ |
117600.d1 |
117600fq1 |
117600.d |
117600fq |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.720910128$ |
$1$ |
|
$4$ |
$209664$ |
$0.988302$ |
$-11200/3$ |
$1.03704$ |
$3.07219$ |
$[0, -1, 0, -2858, -70188]$ |
\(y^2=x^3-x^2-2858x-70188\) |
6.2.0.a.1 |
$[(82, 490)]$ |
117600.e1 |
117600bg1 |
117600.e |
117600bg |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$0.820066$ |
$-11200/3$ |
$1.03704$ |
$2.89927$ |
$[0, -1, 0, -1458, 26412]$ |
\(y^2=x^3-x^2-1458x+26412\) |
6.2.0.a.1 |
$[]$ |
117600.f1 |
117600cc2 |
117600.f |
117600cc |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$2.565211092$ |
$1$ |
|
$5$ |
$691200$ |
$1.644491$ |
$195112/9$ |
$0.92060$ |
$3.81841$ |
$[0, -1, 0, -59208, 5339412]$ |
\(y^2=x^3-x^2-59208x+5339412\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(68, 1274)]$ |
117600.f2 |
117600cc1 |
117600.f |
117600cc |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$5.130422185$ |
$1$ |
|
$3$ |
$345600$ |
$1.297918$ |
$64/3$ |
$1.29203$ |
$3.32848$ |
$[0, -1, 0, 2042, 316912]$ |
\(y^2=x^3-x^2+2042x+316912\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(111, 1378)]$ |
117600.g1 |
117600fj1 |
117600.g |
117600fj |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$4.359869511$ |
$1$ |
|
$2$ |
$2128896$ |
$2.210583$ |
$-392/1125$ |
$1.07390$ |
$4.26846$ |
$[0, -1, 0, -20008, 76727512]$ |
\(y^2=x^3-x^2-20008x+76727512\) |
40.2.0.a.1 |
$[(97, 8700)]$ |
117600.h1 |
117600fi1 |
117600.h |
117600fi |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.284415931$ |
$1$ |
|
$2$ |
$696960$ |
$1.621778$ |
$-5624320/177147$ |
$1.12683$ |
$3.66335$ |
$[0, -1, 0, -8493, 2245797]$ |
\(y^2=x^3-x^2-8493x+2245797\) |
6.2.0.a.1 |
$[(23, 1436)]$ |
117600.i1 |
117600gb2 |
117600.i |
117600gb |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$840$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$602112$ |
$1.626591$ |
$1643032/729$ |
$0.93840$ |
$3.67381$ |
$[0, -1, 0, -33728, -1140348]$ |
\(y^2=x^3-x^2-33728x-1140348\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 24.18.0.m.1, 60.18.0.g.1, $\ldots$ |
$[]$ |
117600.i2 |
117600gb1 |
117600.i |
117600gb |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$840$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$301056$ |
$1.280018$ |
$1560896/27$ |
$0.89561$ |
$3.49131$ |
$[0, -1, 0, -16578, 814752]$ |
\(y^2=x^3-x^2-16578x+814752\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 24.18.0.m.1, 60.18.0.h.1, $\ldots$ |
$[]$ |
117600.j1 |
117600ca2 |
117600.j |
117600ca |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$840$ |
$72$ |
$3$ |
$1.852744771$ |
$1$ |
|
$5$ |
$430080$ |
$1.458355$ |
$1643032/729$ |
$0.93840$ |
$3.50089$ |
$[0, -1, 0, -17208, 425412]$ |
\(y^2=x^3-x^2-17208x+425412\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 24.18.0.m.1, 60.18.0.g.1, $\ldots$ |
$[(-8, 750)]$ |
117600.j2 |
117600ca1 |
117600.j |
117600ca |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$840$ |
$72$ |
$3$ |
$3.705489543$ |
$1$ |
|
$3$ |
$215040$ |
$1.111782$ |
$1560896/27$ |
$0.89561$ |
$3.31839$ |
$[0, -1, 0, -8458, -292088]$ |
\(y^2=x^3-x^2-8458x-292088\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 24.18.0.m.1, 60.18.0.h.1, $\ldots$ |
$[(-49, 48)]$ |
117600.k1 |
117600bc4 |
117600.k |
117600bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$247726080$ |
$4.537659$ |
$229625675762164624948320008/9568125$ |
$1.08161$ |
$7.56048$ |
$[0, -1, 0, -125023500408, -17015100987713688]$ |
\(y^2=x^3-x^2-125023500408x-17015100987713688\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
117600.k2 |
117600bc3 |
117600.k |
117600bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$247726080$ |
$4.537659$ |
$7079962908642659949376/100085966990454375$ |
$1.08828$ |
$6.84892$ |
$[0, -1, 0, -7840766033, -263943665448063]$ |
\(y^2=x^3-x^2-7840766033x-263943665448063\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 28.12.0.h.1, $\ldots$ |
$[]$ |
117600.k3 |
117600bc1 |
117600.k |
117600bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{14} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$123863040$ |
$4.191086$ |
$448487713888272974160064/91549016015625$ |
$1.09640$ |
$6.84804$ |
$[0, -1, 0, -7813969158, -265858972088688]$ |
\(y^2=x^3-x^2-7813969158x-265858972088688\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 28.12.0.a.1, 120.24.0.?, $\ldots$ |
$[]$ |
117600.k4 |
117600bc2 |
117600.k |
117600bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{22} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$247726080$ |
$4.537659$ |
$-55486311952875723077768/801237030029296875$ |
$1.06446$ |
$6.84927$ |
$[0, -1, 0, -7787178408, -267772528198188]$ |
\(y^2=x^3-x^2-7787178408x-267772528198188\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, $\ldots$ |
$[]$ |
117600.l1 |
117600ba4 |
117600.l |
117600ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$840$ |
$48$ |
$0$ |
$3.024874047$ |
$1$ |
|
$13$ |
$294912$ |
$1.351454$ |
$7301384/3$ |
$1.03749$ |
$3.71510$ |
$[0, -1, 0, -39608, 3046212]$ |
\(y^2=x^3-x^2-39608x+3046212\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 280.24.0.?, $\ldots$ |
$[(112, 50), (72, 750)]$ |
117600.l2 |
117600ba3 |
117600.l |
117600ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$840$ |
$48$ |
$0$ |
$12.09949618$ |
$1$ |
|
$5$ |
$294912$ |
$1.351454$ |
$140608/3$ |
$1.02705$ |
$3.55490$ |
$[0, -1, 0, -21233, -1161663]$ |
\(y^2=x^3-x^2-21233x-1161663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(-77, 104), (307, 4600)]$ |
117600.l3 |
117600ba1 |
117600.l |
117600ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$840$ |
$48$ |
$0$ |
$3.024874047$ |
$1$ |
|
$23$ |
$147456$ |
$1.004881$ |
$21952/9$ |
$1.09175$ |
$3.03961$ |
$[0, -1, 0, -2858, 32712]$ |
\(y^2=x^3-x^2-2858x+32712\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 140.12.0.?, $\ldots$ |
$[(-2, 196), (62, 300)]$ |
117600.l4 |
117600ba2 |
117600.l |
117600ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$840$ |
$48$ |
$0$ |
$12.09949618$ |
$1$ |
|
$5$ |
$294912$ |
$1.351454$ |
$97336/81$ |
$1.05989$ |
$3.34528$ |
$[0, -1, 0, 9392, 228712]$ |
\(y^2=x^3-x^2+9392x+228712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 140.12.0.?, $\ldots$ |
$[(173, 2646), (13, 594)]$ |
117600.m1 |
117600bx1 |
117600.m |
117600bx |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.989222348$ |
$1$ |
|
$4$ |
$34560$ |
$0.357713$ |
$480200/9$ |
$1.01575$ |
$2.53959$ |
$[0, -1, 0, -408, -2988]$ |
\(y^2=x^3-x^2-408x-2988\) |
8.2.0.b.1 |
$[(-12, 6)]$ |
117600.n1 |
117600ei1 |
117600.n |
117600ei |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{10} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1209600$ |
$2.135387$ |
$480200/9$ |
$1.01575$ |
$4.36675$ |
$[0, -1, 0, -500208, 134111412]$ |
\(y^2=x^3-x^2-500208x+134111412\) |
8.2.0.b.1 |
$[]$ |
117600.o1 |
117600by2 |
117600.o |
117600by |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.280346257$ |
$1$ |
|
$7$ |
$442368$ |
$1.458817$ |
$65939264/1323$ |
$0.90084$ |
$3.66815$ |
$[0, -1, 0, -32993, -2255343]$ |
\(y^2=x^3-x^2-32993x-2255343\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[(-107, 196)]$ |
117600.o2 |
117600by1 |
117600.o |
117600by |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.560692514$ |
$1$ |
|
$5$ |
$221184$ |
$1.112244$ |
$64/5103$ |
$1.21170$ |
$3.13960$ |
$[0, -1, 0, 82, -105468]$ |
\(y^2=x^3-x^2+82x-105468\) |
2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(96, 882)]$ |
117600.p1 |
117600ff4 |
117600.p |
117600ff |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.220337693$ |
$1$ |
|
$7$ |
$589824$ |
$1.614407$ |
$14526784/15$ |
$1.00337$ |
$3.95214$ |
$[0, -1, 0, -99633, 12127137]$ |
\(y^2=x^3-x^2-99633x+12127137\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$ |
$[(173, 196)]$ |
117600.p2 |
117600ff3 |
117600.p |
117600ff |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.881350772$ |
$1$ |
|
$1$ |
$589824$ |
$1.614407$ |
$38614472/405$ |
$1.12730$ |
$3.85776$ |
$[0, -1, 0, -69008, -6890988]$ |
\(y^2=x^3-x^2-69008x-6890988\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$ |
$[(1373/2, 24975/2)]$ |
117600.p3 |
117600ff1 |
117600.p |
117600ff |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.440675386$ |
$1$ |
|
$7$ |
$294912$ |
$1.267832$ |
$438976/225$ |
$1.06534$ |
$3.29619$ |
$[0, -1, 0, -7758, 91512]$ |
\(y^2=x^3-x^2-7758x+91512\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.a.1, $\ldots$ |
$[(-44, 588)]$ |
117600.p4 |
117600ff2 |
117600.p |
117600ff |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.881350772$ |
$1$ |
|
$1$ |
$589824$ |
$1.614407$ |
$2863288/1875$ |
$0.98987$ |
$3.63492$ |
$[0, -1, 0, 28992, 679512]$ |
\(y^2=x^3-x^2+28992x+679512\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(349/2, 15729/2)]$ |
117600.q1 |
117600fg1 |
117600.q |
117600fg |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.809140202$ |
$1$ |
|
$0$ |
$57600$ |
$0.503287$ |
$-9348149440/243$ |
$1.09368$ |
$2.93173$ |
$[0, -1, 0, -1878, -30708]$ |
\(y^2=x^3-x^2-1878x-30708\) |
6.2.0.a.1 |
$[(2866/5, 139614/5)]$ |
117600.r1 |
117600bz1 |
117600.r |
117600bz |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.880074877$ |
$1$ |
|
$0$ |
$217728$ |
$1.161539$ |
$12800/27$ |
$1.00841$ |
$3.15723$ |
$[0, -1, 0, 3267, -117963]$ |
\(y^2=x^3-x^2+3267x-117963\) |
6.2.0.a.1 |
$[(1739/5, 83012/5)]$ |
117600.s1 |
117600bk1 |
117600.s |
117600bk |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2016000$ |
$2.280960$ |
$-9348149440/243$ |
$1.09368$ |
$4.75888$ |
$[0, -1, 0, -2300958, 1344215412]$ |
\(y^2=x^3-x^2-2300958x+1344215412\) |
6.2.0.a.1 |
$[]$ |
117600.t1 |
117600bb4 |
117600.t |
117600bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.041260$ |
$303735479048/105$ |
$0.94981$ |
$4.62609$ |
$[0, -1, 0, -1372408, 619289812]$ |
\(y^2=x^3-x^2-1372408x+619289812\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$ |
$[]$ |
117600.t2 |
117600bb3 |
117600.t |
117600bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.041260$ |
$82881856/36015$ |
$0.98412$ |
$4.10129$ |
$[0, -1, 0, -178033, -14372063]$ |
\(y^2=x^3-x^2-178033x-14372063\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.4, 56.12.0.bb.1, $\ldots$ |
$[]$ |
117600.t3 |
117600bb1 |
117600.t |
117600bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$884736$ |
$1.694687$ |
$601211584/11025$ |
$0.96539$ |
$3.91480$ |
$[0, -1, 0, -86158, 9607312]$ |
\(y^2=x^3-x^2-86158x+9607312\) |
2.6.0.a.1, 24.12.0-2.a.1.2, 40.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, $\ldots$ |
$[]$ |
117600.t4 |
117600bb2 |
117600.t |
117600bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.041260$ |
$-8/354375$ |
$1.25857$ |
$4.09448$ |
$[0, -1, 0, -408, 27786312]$ |
\(y^2=x^3-x^2-408x+27786312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$ |
$[]$ |
117600.u1 |
117600fh4 |
117600.u |
117600fh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.369797469$ |
$1$ |
|
$5$ |
$1179648$ |
$1.947943$ |
$11512557512/2835$ |
$0.92005$ |
$4.34578$ |
$[0, -1, 0, -461008, 120607012]$ |
\(y^2=x^3-x^2-461008x+120607012\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.4, 56.12.0-4.c.1.2, $\ldots$ |
$[(152, 7350)]$ |
117600.u2 |
117600fh3 |
117600.u |
117600fh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.479189878$ |
$1$ |
|
$3$ |
$1179648$ |
$1.947943$ |
$1184287112/36015$ |
$1.05323$ |
$4.15098$ |
$[0, -1, 0, -216008, -37540488]$ |
\(y^2=x^3-x^2-216008x-37540488\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.5, 56.12.0-4.c.1.1, $\ldots$ |
$[(-267, 1014)]$ |
117600.u3 |
117600fh1 |
117600.u |
117600fh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.739594939$ |
$1$ |
|
$7$ |
$589824$ |
$1.601368$ |
$31554496/11025$ |
$0.86726$ |
$3.66236$ |
$[0, -1, 0, -32258, 1414512]$ |
\(y^2=x^3-x^2-32258x+1414512\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.2, 56.12.0-2.a.1.1, 84.12.0.?, $\ldots$ |
$[(27, 750)]$ |
117600.u4 |
117600fh2 |
117600.u |
117600fh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.369797469$ |
$1$ |
|
$3$ |
$1179648$ |
$1.947943$ |
$13144256/13125$ |
$0.87001$ |
$3.94357$ |
$[0, -1, 0, 96367, 9775137]$ |
\(y^2=x^3-x^2+96367x+9775137\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.4, 56.12.0-4.c.1.4, $\ldots$ |
$[(537, 14700)]$ |
117600.v1 |
117600bt1 |
117600.v |
117600bt |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$2.059977738$ |
$1$ |
|
$4$ |
$399360$ |
$1.467705$ |
$2836568/6561$ |
$0.93856$ |
$3.47500$ |
$[0, -1, 0, 10792, -750588]$ |
\(y^2=x^3-x^2+10792x-750588\) |
40.2.0.a.1 |
$[(56, 162)]$ |
117600.w1 |
117600fp1 |
117600.w |
117600fp |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.697950248$ |
$1$ |
|
$4$ |
$559104$ |
$1.635941$ |
$2836568/6561$ |
$0.93856$ |
$3.64792$ |
$[0, -1, 0, 21152, 2042692]$ |
\(y^2=x^3-x^2+21152x+2042692\) |
40.2.0.a.1 |
$[(376, 7938)]$ |
117600.x1 |
117600ez1 |
117600.x |
117600ez |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.450885392$ |
$1$ |
|
$4$ |
$304128$ |
$1.462376$ |
$-215474070728/3645$ |
$0.97185$ |
$3.93000$ |
$[0, -1, 0, -91408, 10667812]$ |
\(y^2=x^3-x^2-91408x+10667812\) |
40.2.0.a.1 |
$[(112, 1350)]$ |
117600.y1 |
117600ew1 |
117600.y |
117600ew |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{12} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.647620209$ |
$1$ |
|
$5$ |
$1327104$ |
$2.084263$ |
$16079333824/2953125$ |
$1.00765$ |
$4.19628$ |
$[0, -1, 0, -257658, 41677812]$ |
\(y^2=x^3-x^2-257658x+41677812\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(152, 2450)]$ |
117600.y2 |
117600ew2 |
117600.y |
117600ew |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$3.295240418$ |
$1$ |
|
$5$ |
$2654208$ |
$2.430836$ |
$1925134784/4465125$ |
$1.02421$ |
$4.46502$ |
$[0, -1, 0, 507967, 241505937]$ |
\(y^2=x^3-x^2+507967x+241505937\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(-184, 11907)]$ |
117600.z1 |
117600fy1 |
117600.z |
117600fy |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{11} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$1.429981$ |
$-280000/177147$ |
$1.32012$ |
$3.46607$ |
$[0, -1, 0, -1458, -708588]$ |
\(y^2=x^3-x^2-1458x-708588\) |
6.2.0.a.1 |
$[]$ |
117600.ba1 |
117600e1 |
117600.ba |
117600e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.445874962$ |
$1$ |
|
$2$ |
$532224$ |
$1.598217$ |
$-280000/177147$ |
$1.32012$ |
$3.63899$ |
$[0, -1, 0, -2858, 1946652]$ |
\(y^2=x^3-x^2-2858x+1946652\) |
6.2.0.a.1 |
$[(-114, 882)]$ |
117600.bb1 |
117600br1 |
117600.bb |
117600br |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$44.41318340$ |
$1$ |
|
$1$ |
$5308416$ |
$2.721825$ |
$10713357105862263488/137781$ |
$1.16421$ |
$5.52295$ |
$[0, -1, 0, -45008378, -116206948248]$ |
\(y^2=x^3-x^2-45008378x-116206948248\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(115189098348393048061/73280614, 1166540220570011138827657240447/73280614)]$ |