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 |
11760.a1 |
11760g1 |
11760.a |
11760g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$2.157654$ |
$1950665639360512/492075$ |
$1.06723$ |
$5.92083$ |
$[0, -1, 0, -2249851, 1299659026]$ |
\(y^2=x^3-x^2-2249851x+1299659026\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
11760.a2 |
11760g2 |
11760.a |
11760g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{18} \cdot 5 \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$2.504227$ |
$-120527903507632/1937102445$ |
$1.01998$ |
$5.92253$ |
$[0, -1, 0, -2241276, 1310048496]$ |
\(y^2=x^3-x^2-2241276x+1310048496\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
11760.b1 |
11760br5 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.186 |
2B |
$1680$ |
$192$ |
$1$ |
$10.46631197$ |
$1$ |
|
$1$ |
$294912$ |
$2.402859$ |
$524388516989299201/3150$ |
$1.03693$ |
$6.48648$ |
$[0, -1, 0, -13171216, -18394301120]$ |
\(y^2=x^3-x^2-13171216x-18394301120\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.e.1.7, 28.12.0-4.c.1.2, $\ldots$ |
$[(51370/3, 8204930/3)]$ |
11760.b2 |
11760br3 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.84 |
2Cs |
$840$ |
$192$ |
$1$ |
$5.233155985$ |
$1$ |
|
$5$ |
$147456$ |
$2.056286$ |
$128031684631201/9922500$ |
$1.00206$ |
$5.59901$ |
$[0, -1, 0, -823216, -287193920]$ |
\(y^2=x^3-x^2-823216x-287193920\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.16, 28.24.0-4.b.1.3, 56.96.0-56.n.1.6, $\ldots$ |
$[(5098, 357750)]$ |
11760.b3 |
11760br6 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.220 |
2B |
$1680$ |
$192$ |
$1$ |
$2.616577992$ |
$1$ |
|
$3$ |
$294912$ |
$2.402859$ |
$-104094944089921/35880468750$ |
$1.00819$ |
$5.62679$ |
$[0, -1, 0, -768336, -327190464]$ |
\(y^2=x^3-x^2-768336x-327190464\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.2, 28.12.0-4.c.1.2, 56.96.0-56.bn.1.7, $\ldots$ |
$[(6144, 476280)]$ |
11760.b4 |
11760br4 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3 \cdot 5 \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.128 |
2B |
$1680$ |
$192$ |
$1$ |
$5.233155985$ |
$1$ |
|
$3$ |
$147456$ |
$2.056286$ |
$5602762882081/345888060$ |
$0.98661$ |
$5.26516$ |
$[0, -1, 0, -290096, 56938176]$ |
\(y^2=x^3-x^2-290096x+56938176\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.5, 28.12.0-4.c.1.1, $\ldots$ |
$[(394, 1910)]$ |
11760.b5 |
11760br2 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.131 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.616577992$ |
$1$ |
|
$9$ |
$73728$ |
$1.709713$ |
$37966934881/8643600$ |
$0.95916$ |
$4.73229$ |
$[0, -1, 0, -54896, -3837504]$ |
\(y^2=x^3-x^2-54896x-3837504\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.12, 28.24.0-4.b.1.1, 56.96.0-56.r.1.8, $\ldots$ |
$[(-86, 490)]$ |
11760.b6 |
11760br1 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.166 |
2B |
$1680$ |
$192$ |
$1$ |
$5.233155985$ |
$1$ |
|
$3$ |
$36864$ |
$1.363138$ |
$109902239/188160$ |
$0.92835$ |
$4.18038$ |
$[0, -1, 0, 7824, -375360]$ |
\(y^2=x^3-x^2+7824x-375360\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.e.2.4, 28.12.0-4.c.1.1, $\ldots$ |
$[(1265, 45080)]$ |
11760.c1 |
11760f5 |
11760.c |
11760f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.216 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$2.190704$ |
$784478485879202/221484375$ |
$1.00760$ |
$5.71847$ |
$[0, -1, 0, -1195616, -502673184]$ |
\(y^2=x^3-x^2-1195616x-502673184\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.4, 28.12.0-4.c.1.2, 56.96.0-56.bj.1.8, $\ldots$ |
$[]$ |
11760.c2 |
11760f3 |
11760.c |
11760f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.93 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.844131$ |
$549871953124/200930625$ |
$0.97812$ |
$4.86957$ |
$[0, -1, 0, -84296, -5690880]$ |
\(y^2=x^3-x^2-84296x-5690880\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.14, 28.24.0-4.b.1.3, 40.96.0-40.w.2.15, $\ldots$ |
$[]$ |
11760.c3 |
11760f2 |
11760.c |
11760f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.81 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.497557$ |
$175293437776/4862025$ |
$0.94022$ |
$4.59969$ |
$[0, -1, 0, -36276, 2606976]$ |
\(y^2=x^3-x^2-36276x+2606976\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.4, 20.24.0.c.1, 28.24.0-4.b.1.1, $\ldots$ |
$[]$ |
11760.c4 |
11760f1 |
11760.c |
11760f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.94 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.150984$ |
$2748251600896/2205$ |
$0.99547$ |
$4.59752$ |
$[0, -1, 0, -36031, 2644510]$ |
\(y^2=x^3-x^2-36031x+2644510\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 10.6.0.a.1, 16.48.0-16.e.2.2, $\ldots$ |
$[]$ |
11760.c5 |
11760f4 |
11760.c |
11760f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.123 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.844131$ |
$439608956/259416045$ |
$1.04962$ |
$4.84767$ |
$[0, -1, 0, 7824, 8498736]$ |
\(y^2=x^3-x^2+7824x+8498736\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.6, 20.12.0.h.1, $\ldots$ |
$[]$ |
11760.c6 |
11760f6 |
11760.c |
11760f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{16} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.198 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$2.190704$ |
$7947184069438/7533176175$ |
$1.00704$ |
$5.22850$ |
$[0, -1, 0, 258704, -40539680]$ |
\(y^2=x^3-x^2+258704x-40539680\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 16.48.0-16.e.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
11760.d1 |
11760h1 |
11760.d |
11760h |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.135216$ |
$-50176/75$ |
$0.85223$ |
$3.95881$ |
$[0, -1, 0, -3201, -130899]$ |
\(y^2=x^3-x^2-3201x-130899\) |
6.2.0.a.1 |
$[]$ |
11760.e1 |
11760bl1 |
11760.e |
11760bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.688141$ |
$-77626969/182250$ |
$0.95834$ |
$4.65974$ |
$[0, -1, 0, -25496, -3515280]$ |
\(y^2=x^3-x^2-25496x-3515280\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[]$ |
11760.e2 |
11760bl2 |
11760.e |
11760bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$217728$ |
$2.237446$ |
$50872947671/140625000$ |
$1.01195$ |
$5.32053$ |
$[0, -1, 0, 221464, 77882736]$ |
\(y^2=x^3-x^2+221464x+77882736\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[]$ |
11760.f1 |
11760bo1 |
11760.f |
11760bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$3.463797270$ |
$1$ |
|
$3$ |
$32256$ |
$1.369968$ |
$1092727/540$ |
$0.92700$ |
$4.23956$ |
$[0, -1, 0, -11776, -184064]$ |
\(y^2=x^3-x^2-11776x-184064\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(128, 624)]$ |
11760.f2 |
11760bo2 |
11760.f |
11760bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.731898635$ |
$1$ |
|
$5$ |
$64512$ |
$1.716543$ |
$53582633/36450$ |
$0.97948$ |
$4.65488$ |
$[0, -1, 0, 43104, -1457280]$ |
\(y^2=x^3-x^2+43104x-1457280\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(168, 3240)]$ |
11760.g1 |
11760bp2 |
11760.g |
11760bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.661632393$ |
$1$ |
|
$3$ |
$18432$ |
$1.136219$ |
$16129950234928/455625$ |
$1.00848$ |
$4.45930$ |
$[0, -1, 0, -23396, 1385196]$ |
\(y^2=x^3-x^2-23396x+1385196\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[(-19, 1350)]$ |
11760.g2 |
11760bp1 |
11760.g |
11760bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.323264787$ |
$1$ |
|
$3$ |
$9216$ |
$0.789645$ |
$70954958848/10546875$ |
$1.05543$ |
$3.58451$ |
$[0, -1, 0, -1521, 20196]$ |
\(y^2=x^3-x^2-1521x+20196\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[(68, 476)]$ |
11760.h1 |
11760c3 |
11760.h |
11760c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.378954$ |
$1214399773444/105$ |
$0.96565$ |
$4.95411$ |
$[0, -1, 0, -109776, -13962864]$ |
\(y^2=x^3-x^2-109776x-13962864\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
11760.h2 |
11760c2 |
11760.h |
11760c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.032381$ |
$1193895376/11025$ |
$0.88664$ |
$4.06736$ |
$[0, -1, 0, -6876, -215424]$ |
\(y^2=x^3-x^2-6876x-215424\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 60.24.0-20.a.1.3, $\ldots$ |
$[]$ |
11760.h3 |
11760c4 |
11760.h |
11760c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.378954$ |
$-7086244/972405$ |
$1.12362$ |
$4.25218$ |
$[0, -1, 0, -1976, -521184]$ |
\(y^2=x^3-x^2-1976x-521184\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
11760.h4 |
11760c1 |
11760.h |
11760c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.685807$ |
$24918016/13125$ |
$0.93864$ |
$3.35869$ |
$[0, -1, 0, -751, 2626]$ |
\(y^2=x^3-x^2-751x+2626\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$ |
$[]$ |
11760.i1 |
11760bk2 |
11760.i |
11760bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.766018$ |
$-19539165184/46875$ |
$1.11564$ |
$5.07710$ |
$[0, -1, 0, -160981, 24965725]$ |
\(y^2=x^3-x^2-160981x+24965725\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[]$ |
11760.i2 |
11760bk1 |
11760.i |
11760bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.216713$ |
$229376/675$ |
$1.26669$ |
$4.01554$ |
$[0, -1, 0, 3659, 170941]$ |
\(y^2=x^3-x^2+3659x+170941\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[]$ |
11760.j1 |
11760a1 |
11760.j |
11760a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8448$ |
$0.747473$ |
$3272428544/4428675$ |
$1.10937$ |
$3.37557$ |
$[0, -1, 0, 719, -8819]$ |
\(y^2=x^3-x^2+719x-8819\) |
6.2.0.a.1 |
$[]$ |
11760.k1 |
11760b1 |
11760.k |
11760b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$-0.029249$ |
$2725888/675$ |
$0.90162$ |
$2.49973$ |
$[0, -1, 0, -51, -90]$ |
\(y^2=x^3-x^2-51x-90\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
11760.k2 |
11760b2 |
11760.k |
11760b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.317325$ |
$2382032/3645$ |
$0.88554$ |
$2.83422$ |
$[0, -1, 0, 124, -720]$ |
\(y^2=x^3-x^2+124x-720\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
11760.l1 |
11760d1 |
11760.l |
11760d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$94080$ |
$1.859318$ |
$649381163998/373669453125$ |
$1.10486$ |
$4.86711$ |
$[0, -1, 0, 8384, 9309280]$ |
\(y^2=x^3-x^2+8384x+9309280\) |
40.2.0.a.1 |
$[]$ |
11760.m1 |
11760bn1 |
11760.m |
11760bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.715204855$ |
$1$ |
|
$3$ |
$23040$ |
$1.183847$ |
$1248870793216/42525$ |
$1.11953$ |
$4.51336$ |
$[0, -1, 0, -27701, 1783776]$ |
\(y^2=x^3-x^2-27701x+1783776\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(124, 490)]$ |
11760.m2 |
11760bn2 |
11760.m |
11760bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$3.430409710$ |
$1$ |
|
$1$ |
$46080$ |
$1.530422$ |
$-68150496976/14467005$ |
$0.93764$ |
$4.53223$ |
$[0, -1, 0, -26476, 1947436]$ |
\(y^2=x^3-x^2-26476x+1947436\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(461/2, 5145/2)]$ |
11760.n1 |
11760bm1 |
11760.n |
11760bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.568669862$ |
$1$ |
|
$4$ |
$2304$ |
$0.094425$ |
$57344/1875$ |
$1.00725$ |
$2.60446$ |
$[0, -1, 0, 19, 225]$ |
\(y^2=x^3-x^2+19x+225\) |
6.2.0.a.1 |
$[(13, 50)]$ |
11760.o1 |
11760e5 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.905870$ |
$62161150998242/1607445$ |
$0.99458$ |
$5.44797$ |
$[0, -1, 0, -513536, -141471840]$ |
\(y^2=x^3-x^2-513536x-141471840\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 28.12.0-4.c.1.2, 40.48.0-40.bp.1.12, $\ldots$ |
$[]$ |
11760.o2 |
11760e3 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.559296$ |
$34008619684/4862025$ |
$0.94251$ |
$4.57263$ |
$[0, -1, 0, -33336, -2021760]$ |
\(y^2=x^3-x^2-33336x-2021760\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.2.6, 28.24.0-4.b.1.3, $\ldots$ |
$[]$ |
11760.o3 |
11760e2 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.212723$ |
$2533446736/275625$ |
$0.90007$ |
$4.14763$ |
$[0, -1, 0, -8836, 291040]$ |
\(y^2=x^3-x^2-8836x+291040\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.2, 24.48.0-24.i.1.31, $\ldots$ |
$[]$ |
11760.o4 |
11760e1 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.866149$ |
$37256083456/525$ |
$0.96058$ |
$4.13863$ |
$[0, -1, 0, -8591, 309366]$ |
\(y^2=x^3-x^2-8591x+309366\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.4, $\ldots$ |
$[]$ |
11760.o5 |
11760e4 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.559296$ |
$1486779836/8203125$ |
$0.96171$ |
$4.46744$ |
$[0, -1, 0, 11744, 1427056]$ |
\(y^2=x^3-x^2+11744x+1427056\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.2, 24.48.0-24.bz.2.10, $\ldots$ |
$[]$ |
11760.o6 |
11760e6 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.905870$ |
$75798394558/259416045$ |
$0.98842$ |
$4.90197$ |
$[0, -1, 0, 54864, -10982880]$ |
\(y^2=x^3-x^2+54864x-10982880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.bz.1, $\ldots$ |
$[]$ |
11760.p1 |
11760bq7 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$7.392952009$ |
$1$ |
|
$3$ |
$98304$ |
$1.956972$ |
$1114544804970241/405$ |
$1.07354$ |
$5.82989$ |
$[0, -1, 0, -1693456, -847656704]$ |
\(y^2=x^3-x^2-1693456x-847656704\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(2498, 102486)]$ |
11760.p2 |
11760bq5 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$1680$ |
$768$ |
$13$ |
$3.696476004$ |
$1$ |
|
$7$ |
$49152$ |
$1.610397$ |
$272223782641/164025$ |
$1.03897$ |
$4.94247$ |
$[0, -1, 0, -105856, -13214144]$ |
\(y^2=x^3-x^2-105856x-13214144\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 28.24.0-4.b.1.3, $\ldots$ |
$[(538, 9234)]$ |
11760.p3 |
11760bq8 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$7.392952009$ |
$1$ |
|
$1$ |
$98304$ |
$1.956972$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.01136$ |
$[0, -1, 0, -86256, -18278784]$ |
\(y^2=x^3-x^2-86256x-18278784\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(21010/3, 3018302/3)]$ |
11760.p4 |
11760bq4 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$3360$ |
$768$ |
$13$ |
$1.848238002$ |
$1$ |
|
$5$ |
$24576$ |
$1.263824$ |
$56667352321/15$ |
$1.03019$ |
$4.77502$ |
$[0, -1, 0, -62736, 6069120]$ |
\(y^2=x^3-x^2-62736x+6069120\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[(146, 22)]$ |
11760.p5 |
11760bq3 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1.848238002$ |
$1$ |
|
$9$ |
$24576$ |
$1.263824$ |
$111284641/50625$ |
$1.02534$ |
$4.11000$ |
$[0, -1, 0, -7856, -121344]$ |
\(y^2=x^3-x^2-7856x-121344\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 28.48.0-4.b.1.1, $\ldots$ |
$[(-30, 294)]$ |
11760.p6 |
11760bq2 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$1680$ |
$768$ |
$13$ |
$0.924119001$ |
$1$ |
|
$15$ |
$12288$ |
$0.917251$ |
$13997521/225$ |
$0.96230$ |
$3.88880$ |
$[0, -1, 0, -3936, 95040]$ |
\(y^2=x^3-x^2-3936x+95040\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[(26, 98)]$ |
11760.p7 |
11760bq1 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$3360$ |
$768$ |
$13$ |
$1.848238002$ |
$1$ |
|
$5$ |
$6144$ |
$0.570678$ |
$-1/15$ |
$1.19808$ |
$3.21752$ |
$[0, -1, 0, -16, 4096]$ |
\(y^2=x^3-x^2-16x+4096\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[(0, 64)]$ |
11760.p8 |
11760bq6 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$3.696476004$ |
$1$ |
|
$3$ |
$49152$ |
$1.610397$ |
$4733169839/3515625$ |
$1.05585$ |
$4.51014$ |
$[0, -1, 0, 27424, -939840]$ |
\(y^2=x^3-x^2+27424x-939840\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 28.24.0-4.d.1.1, $\ldots$ |
$[(474, 10878)]$ |
11760.q1 |
11760bs1 |
11760.q |
11760bs |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{25} \cdot 3^{2} \cdot 5^{5} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$6.094911022$ |
$1$ |
|
$2$ |
$524160$ |
$2.643646$ |
$-1231272543361/230400000$ |
$1.02666$ |
$5.96387$ |
$[0, -1, 0, -2344176, 1589952960]$ |
\(y^2=x^3-x^2-2344176x+1589952960\) |
40.2.0.a.1 |
$[(210, 33270)]$ |
11760.r1 |
11760i1 |
11760.r |
11760i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.447789$ |
$197723452/375$ |
$1.03060$ |
$3.40056$ |
$[0, -1, 0, -856, -9344]$ |
\(y^2=x^3-x^2-856x-9344\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |