| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 30576.a1 |
30576r1 |
30576.a |
30576r |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.334332514$ |
$1$ |
|
$3$ |
$86016$ |
$0.966208$ |
$65239066624/5733$ |
$0.99612$ |
$3.80998$ |
$1$ |
$[0, -1, 0, -10355, -402114]$ |
\(y^2=x^3-x^2-10355x-402114\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(138, 882)]$ |
$1$ |
| 30576.a2 |
30576r2 |
30576.a |
30576r |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 7^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.667166257$ |
$1$ |
|
$5$ |
$172032$ |
$1.312782$ |
$-3269383504/1217307$ |
$0.93989$ |
$3.83669$ |
$1$ |
$[0, -1, 0, -9620, -462384]$ |
\(y^2=x^3-x^2-9620x-462384\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(208, 2548)]$ |
$1$ |
| 30576.b1 |
30576bk1 |
30576.b |
30576bk |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{28} \cdot 3^{4} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.625174$ |
$-2380771254001/69009408$ |
$0.99197$ |
$4.32309$ |
$1$ |
$[0, -1, 0, -59600, -5719104]$ |
\(y^2=x^3-x^2-59600x-5719104\) |
52.2.0.a.1 |
$[ ]$ |
$1$ |
| 30576.c1 |
30576q1 |
30576.c |
30576q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.009838104$ |
$1$ |
|
$3$ |
$184320$ |
$1.509340$ |
$1909913257984/129730653$ |
$1.03790$ |
$4.13693$ |
$1$ |
$[0, -1, 0, -31915, 2072386]$ |
\(y^2=x^3-x^2-31915x+2072386\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(278, 3822)]$ |
$1$ |
| 30576.c2 |
30576q2 |
30576.c |
30576q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.004919052$ |
$1$ |
|
$5$ |
$368640$ |
$1.855915$ |
$77366117936/1172914587$ |
$1.04122$ |
$4.40737$ |
$1$ |
$[0, -1, 0, 27620, 8859376]$ |
\(y^2=x^3-x^2+27620x+8859376\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(-72, 2548)]$ |
$1$ |
| 30576.d1 |
30576bv1 |
30576.d |
30576bv |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.366398965$ |
$1$ |
|
$4$ |
$698880$ |
$2.298885$ |
$-9122691795384795136/1775882908917$ |
$1.12080$ |
$5.32927$ |
$1$ |
$[0, -1, 0, -1934837, 1036711929]$ |
\(y^2=x^3-x^2-1934837x+1036711929\) |
182.2.0.? |
$[(713, 4374)]$ |
$1$ |
| 30576.e1 |
30576cg1 |
30576.e |
30576cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{29} \cdot 3^{7} \cdot 7^{7} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5483520$ |
$3.355381$ |
$-112205650221491190337/745029571313664$ |
$1.03121$ |
$6.40702$ |
$1$ |
$[0, -1, 0, -78779472, -270646784064]$ |
\(y^2=x^3-x^2-78779472x-270646784064\) |
2184.2.0.? |
$[ ]$ |
$1$ |
| 30576.f1 |
30576ch1 |
30576.f |
30576ch |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{23} \cdot 3^{5} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84480$ |
$1.177628$ |
$-4027268071/6469632$ |
$0.95991$ |
$3.64065$ |
$1$ |
$[0, -1, 0, -3712, -167936]$ |
\(y^2=x^3-x^2-3712x-167936\) |
2184.2.0.? |
$[ ]$ |
$1$ |
| 30576.g1 |
30576l1 |
30576.g |
30576l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.274426768$ |
$1$ |
|
$6$ |
$675840$ |
$2.290752$ |
$-3811170500576969572/16129443546333$ |
$1.03111$ |
$5.19125$ |
$1$ |
$[0, -1, 0, -1200264, 508379040]$ |
\(y^2=x^3-x^2-1200264x+508379040\) |
52.2.0.a.1 |
$[(3198, 171366)]$ |
$1$ |
| 30576.h1 |
30576bt1 |
30576.h |
30576bt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{9} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$6.535129492$ |
$1$ |
|
$1$ |
$1451520$ |
$2.830490$ |
$16728308209329751/16376256$ |
$1.02458$ |
$6.11803$ |
$1$ |
$[0, -1, 0, -29240864, 60869902080]$ |
\(y^2=x^3-x^2-29240864x+60869902080\) |
2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? |
$[(10930/3, 4448710/3)]$ |
$1$ |
| 30576.h2 |
30576bt2 |
30576.h |
30576bt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{18} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$3.267564746$ |
$1$ |
|
$3$ |
$2903040$ |
$3.177063$ |
$-16354376146655191/523792501128$ |
$1.20044$ |
$6.12106$ |
$1$ |
$[0, -1, 0, -29021344, 61828589824]$ |
\(y^2=x^3-x^2-29021344x+61828589824\) |
2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? |
$[(2336, 82320)]$ |
$1$ |
| 30576.i1 |
30576bs4 |
30576.i |
30576bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.350138856$ |
$1$ |
|
$5$ |
$73728$ |
$1.347736$ |
$37159393753/1053$ |
$1.11616$ |
$4.29239$ |
$2$ |
$[0, -1, 0, -54504, -4879440]$ |
\(y^2=x^3-x^2-54504x-4879440\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-134, 6)]$ |
$1$ |
| 30576.i2 |
30576bs3 |
30576.i |
30576bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.350138856$ |
$1$ |
|
$5$ |
$73728$ |
$1.347736$ |
$822656953/85683$ |
$0.96086$ |
$3.92345$ |
$2$ |
$[0, -1, 0, -15304, 665008]$ |
\(y^2=x^3-x^2-15304x+665008\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(138, 1078)]$ |
$1$ |
| 30576.i3 |
30576bs2 |
30576.i |
30576bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$1.175069428$ |
$1$ |
|
$13$ |
$36864$ |
$1.001162$ |
$10218313/1521$ |
$0.91403$ |
$3.49855$ |
$1$ |
$[0, -1, 0, -3544, -68816]$ |
\(y^2=x^3-x^2-3544x-68816\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-30, 98)]$ |
$1$ |
| 30576.i4 |
30576bs1 |
30576.i |
30576bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.350138856$ |
$1$ |
|
$5$ |
$18432$ |
$0.654589$ |
$12167/39$ |
$0.85844$ |
$2.99308$ |
$2$ |
$[0, -1, 0, 376, -6096]$ |
\(y^2=x^3-x^2+376x-6096\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 78.6.0.?, $\ldots$ |
$[(28, 160)]$ |
$1$ |
| 30576.j1 |
30576bi1 |
30576.j |
30576bi |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{22} \cdot 3^{2} \cdot 7^{8} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$806400$ |
$2.545078$ |
$-19007021070457/3421836288$ |
$1.05195$ |
$5.29937$ |
$1$ |
$[0, -1, 0, -1595064, -887302800]$ |
\(y^2=x^3-x^2-1595064x-887302800\) |
52.2.0.a.1 |
$[ ]$ |
$1$ |
| 30576.k1 |
30576e4 |
30576.k |
30576e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.846989$ |
$271210066309732/51597$ |
$1.04609$ |
$5.01946$ |
$2$ |
$[0, -1, 0, -666024, -208988352]$ |
\(y^2=x^3-x^2-666024x-208988352\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 30576.k2 |
30576e3 |
30576.k |
30576e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 7^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.846989$ |
$469732169092/224827239$ |
$0.95586$ |
$4.40380$ |
$2$ |
$[0, -1, 0, -79984, 3647344]$ |
\(y^2=x^3-x^2-79984x+3647344\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 30576.k3 |
30576e2 |
30576.k |
30576e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.500414$ |
$267492843088/3651921$ |
$0.90862$ |
$4.21506$ |
$1$ |
$[0, -1, 0, -41764, -3232256]$ |
\(y^2=x^3-x^2-41764x-3232256\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 30576.k4 |
30576e1 |
30576.k |
30576e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3 \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.153841$ |
$-2725888/4198467$ |
$1.03186$ |
$3.59735$ |
$2$ |
$[0, -1, 0, -359, -135162]$ |
\(y^2=x^3-x^2-359x-135162\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 30576.l1 |
30576br4 |
30576.l |
30576br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{5} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.721486898$ |
$1$ |
|
$3$ |
$1105920$ |
$2.634178$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.94756$ |
$2$ |
$[0, -1, 0, -16259784, 25241403888]$ |
\(y^2=x^3-x^2-16259784x+25241403888\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(22778, 3387098)]$ |
$1$ |
| 30576.l2 |
30576br3 |
30576.l |
30576br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{20} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.721486898$ |
$1$ |
|
$3$ |
$1105920$ |
$2.634178$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.31372$ |
$2$ |
$[0, -1, 0, -1834184, -323669520]$ |
\(y^2=x^3-x^2-1834184x-323669520\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-1134, 17226)]$ |
$1$ |
| 30576.l3 |
30576br2 |
30576.l |
30576br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$3.360743449$ |
$1$ |
|
$9$ |
$552960$ |
$2.287605$ |
$242702053576633/2554695936$ |
$1.10395$ |
$5.14294$ |
$1$ |
$[0, -1, 0, -1018824, 392542704]$ |
\(y^2=x^3-x^2-1018824x+392542704\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(530, 1078)]$ |
$1$ |
| 30576.l4 |
30576br1 |
30576.l |
30576br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{28} \cdot 3^{5} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.721486898$ |
$1$ |
|
$3$ |
$276480$ |
$1.941032$ |
$-822656953/207028224$ |
$1.08584$ |
$4.51188$ |
$2$ |
$[0, -1, 0, -15304, 15219184]$ |
\(y^2=x^3-x^2-15304x+15219184\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 78.6.0.?, $\ldots$ |
$[(5661, 425810)]$ |
$1$ |
| 30576.m1 |
30576f1 |
30576.m |
30576f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 7^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$39424$ |
$1.045454$ |
$119164/39$ |
$0.76323$ |
$3.49855$ |
$1$ |
$[0, -1, 0, -3544, -52352]$ |
\(y^2=x^3-x^2-3544x-52352\) |
2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? |
$[ ]$ |
$1$ |
| 30576.m2 |
30576f2 |
30576.m |
30576f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{2} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$78848$ |
$1.392029$ |
$1409938/1521$ |
$0.85499$ |
$3.80490$ |
$1$ |
$[0, -1, 0, 10176, -370656]$ |
\(y^2=x^3-x^2+10176x-370656\) |
2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? |
$[ ]$ |
$1$ |
| 30576.n1 |
30576k4 |
30576.n |
30576k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3 \cdot 7^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$0.856231587$ |
$1$ |
|
$7$ |
$122880$ |
$1.525505$ |
$46640233586/599781$ |
$0.91168$ |
$4.24728$ |
$2$ |
$[0, -1, 0, -46664, -3821040]$ |
\(y^2=x^3-x^2-46664x-3821040\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(-128, 196)]$ |
$1$ |
| 30576.n2 |
30576k2 |
30576.n |
30576k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1.712463175$ |
$1$ |
|
$9$ |
$61440$ |
$1.178932$ |
$153091012/74529$ |
$0.87596$ |
$3.62641$ |
$1$ |
$[0, -1, 0, -5504, 64464]$ |
\(y^2=x^3-x^2-5504x+64464\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[(-40, 468)]$ |
$1$ |
| 30576.n3 |
30576k1 |
30576.n |
30576k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3 \cdot 7^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$3.424926351$ |
$1$ |
|
$3$ |
$30720$ |
$0.832358$ |
$340062928/273$ |
$0.82861$ |
$3.56946$ |
$2$ |
$[0, -1, 0, -4524, 118560]$ |
\(y^2=x^3-x^2-4524x+118560\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ |
$[(76, 456)]$ |
$1$ |
| 30576.n4 |
30576k3 |
30576.n |
30576k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{4} \cdot 7^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$3.424926351$ |
$1$ |
|
$3$ |
$122880$ |
$1.525505$ |
$3658553134/2528253$ |
$0.92470$ |
$4.00083$ |
$2$ |
$[0, -1, 0, 19976, 472144]$ |
\(y^2=x^3-x^2+19976x+472144\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(58, 1350)]$ |
$1$ |
| 30576.o1 |
30576b1 |
30576.o |
30576b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.575725657$ |
$1$ |
|
$16$ |
$27648$ |
$0.937781$ |
$-2/2457$ |
$1.07224$ |
$3.34640$ |
$1$ |
$[0, -1, 0, -16, 37024]$ |
\(y^2=x^3-x^2-16x+37024\) |
2184.2.0.? |
$[(12, 196), (68, 588)]$ |
$1$ |
| 30576.p1 |
30576cb1 |
30576.p |
30576cb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3 \cdot 7^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.343592912$ |
$1$ |
|
$18$ |
$96768$ |
$1.357746$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.26488$ |
$1$ |
$[0, -1, 0, -49576, 4265584]$ |
\(y^2=x^3-x^2-49576x+4265584\) |
2184.2.0.? |
$[(138, 182), (1060/3, 5824/3)]$ |
$1$ |
| 30576.q1 |
30576bz1 |
30576.q |
30576bz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.319064917$ |
$1$ |
|
$18$ |
$13824$ |
$0.462288$ |
$33554432/19773$ |
$1.33029$ |
$2.77998$ |
$1$ |
$[0, -1, 0, 299, 169]$ |
\(y^2=x^3-x^2+299x+169\) |
182.2.0.? |
$[(13, 78), (13/2, 273/2)]$ |
$1$ |
| 30576.r1 |
30576bh1 |
30576.r |
30576bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{17} \cdot 3^{17} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2056320$ |
$2.942600$ |
$-6394640503489/698390001504$ |
$1.05733$ |
$5.67557$ |
$1$ |
$[0, -1, 0, -1109376, -6194423808]$ |
\(y^2=x^3-x^2-1109376x-6194423808\) |
24.2.0.b.1 |
$[ ]$ |
$1$ |
| 30576.s1 |
30576ca1 |
30576.s |
30576ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{31} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$65664$ |
$1.322233$ |
$358321516679/265814016$ |
$0.98755$ |
$3.75817$ |
$1$ |
$[0, -1, 0, 8664, 161904]$ |
\(y^2=x^3-x^2+8664x+161904\) |
24.2.0.b.1 |
$[ ]$ |
$1$ |
| 30576.t1 |
30576cc1 |
30576.t |
30576cc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.323393$ |
$-21064523776/597051$ |
$0.93385$ |
$3.97361$ |
$1$ |
$[0, -1, 0, -17901, -938223]$ |
\(y^2=x^3-x^2-17901x-938223\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 30576.u1 |
30576i1 |
30576.u |
30576i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.889659045$ |
$1$ |
|
$1$ |
$36864$ |
$1.118923$ |
$58107136000/464373$ |
$0.92375$ |
$3.79877$ |
$1$ |
$[0, -1, 0, -9963, 383454]$ |
\(y^2=x^3-x^2-9963x+383454\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-459/2, 405/2)]$ |
$1$ |
| 30576.u2 |
30576i2 |
30576.u |
30576i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.444829522$ |
$1$ |
|
$3$ |
$73728$ |
$1.465496$ |
$-137842000/10955763$ |
$0.94672$ |
$3.95934$ |
$1$ |
$[0, -1, 0, -3348, 878256]$ |
\(y^2=x^3-x^2-3348x+878256\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(68, 980)]$ |
$1$ |
| 30576.v1 |
30576bx2 |
30576.v |
30576bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.878788$ |
$104375673106000/69854967$ |
$0.95519$ |
$4.79278$ |
$1$ |
$[0, -1, 0, -305188, 64957516]$ |
\(y^2=x^3-x^2-305188x+64957516\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[ ]$ |
$1$ |
| 30576.v2 |
30576bx1 |
30576.v |
30576bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{5} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.532215$ |
$-212629504000/340075827$ |
$0.99412$ |
$4.05271$ |
$1$ |
$[0, -1, 0, -15353, 1425684]$ |
\(y^2=x^3-x^2-15353x+1425684\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[ ]$ |
$1$ |
| 30576.w1 |
30576h1 |
30576.w |
30576h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.504942080$ |
$1$ |
|
$1$ |
$9216$ |
$0.295781$ |
$256000/117$ |
$0.88864$ |
$2.60467$ |
$1$ |
$[0, -1, 0, -163, -314]$ |
\(y^2=x^3-x^2-163x-314\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-35/2, 153/2)]$ |
$1$ |
| 30576.w2 |
30576h2 |
30576.w |
30576h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.752471040$ |
$1$ |
|
$3$ |
$18432$ |
$0.642355$ |
$686000/507$ |
$0.86569$ |
$2.96857$ |
$1$ |
$[0, -1, 0, 572, -2960]$ |
\(y^2=x^3-x^2+572x-2960\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(68, 588)]$ |
$1$ |
| 30576.x1 |
30576by1 |
30576.x |
30576by |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{8} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$0.887880$ |
$-1071912625/1364688$ |
$0.93180$ |
$3.30805$ |
$1$ |
$[0, -1, 0, -1248, -29952]$ |
\(y^2=x^3-x^2-1248x-29952\) |
52.2.0.a.1 |
$[ ]$ |
$1$ |
| 30576.y1 |
30576bq1 |
30576.y |
30576bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{9} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.155450525$ |
$1$ |
|
$4$ |
$276480$ |
$2.043140$ |
$-3360132358144/10315633419$ |
$1.01335$ |
$4.63837$ |
$1$ |
$[0, -1, 0, -97085, 29268513]$ |
\(y^2=x^3-x^2-97085x+29268513\) |
182.2.0.? |
$[(-247, 6174)]$ |
$1$ |
| 30576.z1 |
30576bn1 |
30576.z |
30576bn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{9} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$5.065740246$ |
$1$ |
|
$2$ |
$483840$ |
$2.350933$ |
$11743520417/80199288$ |
$0.99277$ |
$4.97650$ |
$1$ |
$[0, -1, 0, 259880, -167672336]$ |
\(y^2=x^3-x^2+259880x-167672336\) |
2184.2.0.? |
$[(636, 15952)]$ |
$1$ |
| 30576.ba1 |
30576bm1 |
30576.ba |
30576bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{5} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$4.702975400$ |
$1$ |
|
$2$ |
$138240$ |
$1.684280$ |
$-141339344329/2167074$ |
$0.92745$ |
$4.42428$ |
$1$ |
$[0, -1, 0, -85080, -9649296]$ |
\(y^2=x^3-x^2-85080x-9649296\) |
2184.2.0.? |
$[(356, 2248)]$ |
$1$ |
| 30576.bb1 |
30576bo1 |
30576.bb |
30576bo |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$2.169540109$ |
$1$ |
|
$0$ |
$13824$ |
$0.621837$ |
$32768/9477$ |
$1.07768$ |
$2.97879$ |
$1$ |
$[0, -1, 0, 75, -5571]$ |
\(y^2=x^3-x^2+75x-5571\) |
182.2.0.? |
$[(69/2, 189/2)]$ |
$1$ |
| 30576.bc1 |
30576bp1 |
30576.bc |
30576bp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$2.504825202$ |
$1$ |
|
$2$ |
$92160$ |
$1.457890$ |
$-2019487744/361179$ |
$0.90207$ |
$4.03648$ |
$1$ |
$[0, -1, 0, -20645, 1313229]$ |
\(y^2=x^3-x^2-20645x+1313229\) |
182.2.0.? |
$[(236, 3087)]$ |
$1$ |
| 30576.bd1 |
30576ce1 |
30576.bd |
30576ce |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.515091$ |
$596183/468$ |
$0.87359$ |
$3.97708$ |
$1$ |
$[0, -1, 0, 18408, 567792]$ |
\(y^2=x^3-x^2+18408x+567792\) |
52.2.0.a.1 |
$[ ]$ |
$1$ |
| 30576.be1 |
30576c4 |
30576.be |
30576c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.275789$ |
$3044193988/85293$ |
$0.95679$ |
$3.91591$ |
$2$ |
$[0, -1, 0, -14912, -678768]$ |
\(y^2=x^3-x^2-14912x-678768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |