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 |
41280.a1 |
41280cb1 |
41280.a |
41280cb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.253364268$ |
$1$ |
|
$11$ |
$36864$ |
$0.682373$ |
$1263214441/29025$ |
$0.85169$ |
$3.14576$ |
$[0, -1, 0, -1441, -20159]$ |
\(y^2=x^3-x^2-1441x-20159\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(-24, 5), (-21, 20)]$ |
41280.a2 |
41280cb2 |
41280.a |
41280cb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.253364268$ |
$1$ |
|
$15$ |
$73728$ |
$1.028946$ |
$1685159/6739605$ |
$1.19354$ |
$3.35475$ |
$[0, -1, 0, 159, -63999]$ |
\(y^2=x^3-x^2+159x-63999\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(93, 864), (2685, 139104)]$ |
41280.b1 |
41280ca1 |
41280.b |
41280ca |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.288125905$ |
$1$ |
|
$4$ |
$92160$ |
$1.189039$ |
$-645008376471556096/783675$ |
$1.01002$ |
$4.24975$ |
$[0, -1, 0, -72001, 7460335]$ |
\(y^2=x^3-x^2-72001x+7460335\) |
86.2.0.? |
$[(154, 27), (9937/8, 135/8)]$ |
41280.c1 |
41280m1 |
41280.c |
41280m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.123074478$ |
$1$ |
|
$8$ |
$15360$ |
$0.159019$ |
$99897344/783675$ |
$0.89128$ |
$2.36248$ |
$[0, -1, 0, 39, 315]$ |
\(y^2=x^3-x^2+39x+315\) |
86.2.0.? |
$[(6, 27), (-3/2, 135/2)]$ |
41280.d1 |
41280f1 |
41280.d |
41280f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{71} \cdot 3^{8} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$95.49504863$ |
$1$ |
|
$0$ |
$205148160$ |
$5.034187$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.87349$ |
$[0, -1, 0, 7694716959, -1715876628001695]$ |
\(y^2=x^3-x^2+7694716959x-1715876628001695\) |
1720.2.0.? |
$[(4893127057341171647728986425537640768294591/2458081462019461799, 10869708134086013600556638905758325109194082161556637800832301392/2458081462019461799)]$ |
41280.e1 |
41280cd1 |
41280.e |
41280cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1.766909673$ |
$1$ |
|
$5$ |
$36864$ |
$0.764279$ |
$3550014724/725625$ |
$0.99630$ |
$3.11255$ |
$[0, -1, 0, -1281, 14625]$ |
\(y^2=x^3-x^2-1281x+14625\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(29, 32)]$ |
41280.e2 |
41280cd2 |
41280.e |
41280cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$0.883454836$ |
$1$ |
|
$9$ |
$73728$ |
$1.110853$ |
$16954370638/33698025$ |
$0.90384$ |
$3.40860$ |
$[0, -1, 0, 2719, 84225]$ |
\(y^2=x^3-x^2+2719x+84225\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(61, 688)]$ |
41280.f1 |
41280e1 |
41280.f |
41280e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.332396798$ |
$1$ |
|
$2$ |
$98304$ |
$1.247152$ |
$-43304636317696/176326875$ |
$0.98881$ |
$3.86807$ |
$[0, -1, 0, -18581, 984525]$ |
\(y^2=x^3-x^2-18581x+984525\) |
86.2.0.? |
$[(188, 2025)]$ |
41280.g1 |
41280k2 |
41280.g |
41280k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{21} \cdot 3^{6} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.293026$ |
$1481933914201/53916840$ |
$0.91933$ |
$3.81074$ |
$[0, -1, 0, -15201, -693279]$ |
\(y^2=x^3-x^2-15201x-693279\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[ ]$ |
41280.g2 |
41280k1 |
41280.g |
41280k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.946453$ |
$5841725401/1857600$ |
$1.01588$ |
$3.28985$ |
$[0, -1, 0, -2401, 31201]$ |
\(y^2=x^3-x^2-2401x+31201\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[ ]$ |
41280.h1 |
41280l1 |
41280.h |
41280l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.512335$ |
$660867352100864/8926548046875$ |
$1.07121$ |
$3.89437$ |
$[0, -1, 0, 7259, 1122655]$ |
\(y^2=x^3-x^2+7259x+1122655\) |
86.2.0.? |
$[ ]$ |
41280.i1 |
41280cc1 |
41280.i |
41280cc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{4} \cdot 5 \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1.045668881$ |
$1$ |
|
$2$ |
$11264$ |
$0.366116$ |
$13481272/17415$ |
$0.78796$ |
$2.54258$ |
$[0, -1, 0, 159, 801]$ |
\(y^2=x^3-x^2+159x+801\) |
1720.2.0.? |
$[(3, 36)]$ |
41280.j1 |
41280i4 |
41280.j |
41280i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{3} \cdot 5 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$270336$ |
$1.758526$ |
$820480625548035842/5805$ |
$0.99016$ |
$4.98979$ |
$[0, -1, 0, -990721, 379885825]$ |
\(y^2=x^3-x^2-990721x+379885825\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$ |
$[ ]$ |
41280.j2 |
41280i3 |
41280.j |
41280i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 43^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$270336$ |
$1.758526$ |
$245245463376482/57692266875$ |
$0.95595$ |
$4.22622$ |
$[0, -1, 0, -66241, 5077441]$ |
\(y^2=x^3-x^2-66241x+5077441\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[ ]$ |
41280.j3 |
41280i2 |
41280.j |
41280i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$135168$ |
$1.411953$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.20718$ |
$[0, -1, 0, -61921, 5950945]$ |
\(y^2=x^3-x^2-61921x+5950945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 860.12.0.?, $\ldots$ |
$[ ]$ |
41280.j4 |
41280i1 |
41280.j |
41280i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{12} \cdot 5 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$67584$ |
$1.065378$ |
$-315278049616/114259815$ |
$0.89070$ |
$3.45000$ |
$[0, -1, 0, -3601, 107281]$ |
\(y^2=x^3-x^2-3601x+107281\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 430.6.0.?, $\ldots$ |
$[ ]$ |
41280.k1 |
41280j4 |
41280.k |
41280j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.472752$ |
$11083898859981128/2176875$ |
$0.96268$ |
$4.45435$ |
$[0, -1, 0, -148641, 22107105]$ |
\(y^2=x^3-x^2-148641x+22107105\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 172.12.0.?, $\ldots$ |
$[ ]$ |
41280.k2 |
41280j3 |
41280.k |
41280j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{16} \cdot 5 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$1.472752$ |
$19426060200968/9255045015$ |
$0.94868$ |
$3.85720$ |
$[0, -1, 0, -17921, -382239]$ |
\(y^2=x^3-x^2-17921x-382239\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.9, 172.12.0.?, $\ldots$ |
$[ ]$ |
41280.k3 |
41280j2 |
41280.k |
41280j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.126179$ |
$21867436817344/303282225$ |
$0.92896$ |
$3.67268$ |
$[0, -1, 0, -9321, 345321]$ |
\(y^2=x^3-x^2-9321x+345321\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 172.12.0.?, $\ldots$ |
$[ ]$ |
41280.k4 |
41280j1 |
41280.k |
41280j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5 \cdot 43^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.779605$ |
$-768575296/1384614405$ |
$1.01119$ |
$3.07322$ |
$[0, -1, 0, -76, 14350]$ |
\(y^2=x^3-x^2-76x+14350\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$ |
$[ ]$ |
41280.l1 |
41280a4 |
41280.l |
41280a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3 \cdot 5^{12} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$5160$ |
$48$ |
$0$ |
$5.307693681$ |
$1$ |
|
$3$ |
$147456$ |
$1.628109$ |
$54477543627364/31494140625$ |
$1.04568$ |
$4.01944$ |
$[0, -1, 0, -31841, -59295]$ |
\(y^2=x^3-x^2-31841x-59295\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 258.6.0.?, $\ldots$ |
$[(-56, 1243)]$ |
41280.l2 |
41280a2 |
41280.l |
41280a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$2.653846840$ |
$1$ |
|
$9$ |
$73728$ |
$1.281534$ |
$67283921459536/260015625$ |
$1.00288$ |
$3.90887$ |
$[0, -1, 0, -21521, 1218321]$ |
\(y^2=x^3-x^2-21521x+1218321\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.2, 516.12.0.?, $\ldots$ |
$[(73, 176)]$ |
41280.l3 |
41280a1 |
41280.l |
41280a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5160$ |
$48$ |
$0$ |
$5.307693681$ |
$1$ |
|
$1$ |
$36864$ |
$0.934961$ |
$1073544204384256/16125$ |
$0.97030$ |
$3.90861$ |
$[0, -1, 0, -21501, 1220685]$ |
\(y^2=x^3-x^2-21501x+1220685\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.1, 1032.24.0.?, $\ldots$ |
$[(461/2, 4081/2)]$ |
41280.l4 |
41280a3 |
41280.l |
41280a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{3} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$5160$ |
$48$ |
$0$ |
$5.307693681$ |
$1$ |
|
$3$ |
$147456$ |
$1.628109$ |
$-2580786074884/34615360125$ |
$1.04688$ |
$4.03221$ |
$[0, -1, 0, -11521, 2344321]$ |
\(y^2=x^3-x^2-11521x+2344321\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$ |
$[(323, 5676)]$ |
41280.m1 |
41280bw2 |
41280.m |
41280bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{23} \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.292044$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.02506$ |
$[0, -1, 0, -32481, 2263425]$ |
\(y^2=x^3-x^2-32481x+2263425\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[ ]$ |
41280.m2 |
41280bw1 |
41280.m |
41280bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{28} \cdot 3^{2} \cdot 5 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.945471$ |
$-2305199161/1981440$ |
$0.87827$ |
$3.28802$ |
$[0, -1, 0, -1761, 45441]$ |
\(y^2=x^3-x^2-1761x+45441\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[ ]$ |
41280.n1 |
41280bx1 |
41280.n |
41280bx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$215040$ |
$1.632849$ |
$-522547125460258816/9506987907075$ |
$1.00952$ |
$4.23285$ |
$[0, -1, 0, -67121, -6775305]$ |
\(y^2=x^3-x^2-67121x-6775305\) |
86.2.0.? |
$[ ]$ |
41280.o1 |
41280b1 |
41280.o |
41280b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.989400287$ |
$1$ |
|
$0$ |
$36864$ |
$0.798615$ |
$8951619584/6046875$ |
$0.93244$ |
$3.06913$ |
$[0, -1, 0, 1099, -6099]$ |
\(y^2=x^3-x^2+1099x-6099\) |
86.2.0.? |
$[(29/2, 375/2)]$ |
41280.p1 |
41280by1 |
41280.p |
41280by |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{22} \cdot 3^{11} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2027520$ |
$2.802952$ |
$408076159454905367161/1190206406250000$ |
$1.01605$ |
$5.63924$ |
$[0, -1, 0, -9889761, 11943992961]$ |
\(y^2=x^3-x^2-9889761x+11943992961\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[ ]$ |
41280.p2 |
41280by2 |
41280.p |
41280by |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{20} \cdot 3^{22} \cdot 5^{5} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4055040$ |
$3.149525$ |
$-86193969101536367161/725294740213012500$ |
$1.03975$ |
$5.75108$ |
$[0, -1, 0, -5889761, 21690392961]$ |
\(y^2=x^3-x^2-5889761x+21690392961\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[ ]$ |
41280.q1 |
41280bz1 |
41280.q |
41280bz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{23} \cdot 3^{4} \cdot 5^{3} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$3.077567841$ |
$1$ |
|
$12$ |
$92160$ |
$1.102978$ |
$-10091699281/13932000$ |
$0.89938$ |
$3.45603$ |
$[0, -1, 0, -2881, -108575]$ |
\(y^2=x^3-x^2-2881x-108575\) |
1720.2.0.? |
$[(69, 128), (325, 5760)]$ |
41280.r1 |
41280c1 |
41280.r |
41280c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1.730907363$ |
$1$ |
|
$5$ |
$24576$ |
$0.643873$ |
$87765160384/725625$ |
$0.87682$ |
$3.15349$ |
$[0, -1, 0, -1481, 22281]$ |
\(y^2=x^3-x^2-1481x+22281\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(25, 16)]$ |
41280.r2 |
41280c2 |
41280.r |
41280c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$0.865453681$ |
$1$ |
|
$7$ |
$49152$ |
$0.990447$ |
$-376367048/33698025$ |
$1.05826$ |
$3.31115$ |
$[0, -1, 0, -481, 50881]$ |
\(y^2=x^3-x^2-481x+50881\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(45, 344)]$ |
41280.s1 |
41280d4 |
41280.s |
41280d |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{21} \cdot 3^{2} \cdot 5 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$6.880609734$ |
$1$ |
|
$1$ |
$552960$ |
$2.135494$ |
$15393836938735081/2275690697640$ |
$0.97892$ |
$4.68092$ |
$[0, -1, 0, -331681, -63331295]$ |
\(y^2=x^3-x^2-331681x-63331295\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$ |
$[(-19799/7, 732096/7)]$ |
41280.s2 |
41280d3 |
41280.s |
41280d |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{24} \cdot 3 \cdot 5^{2} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$13.76121946$ |
$1$ |
|
$1$ |
$276480$ |
$1.788921$ |
$13679527032530281/381633600$ |
$0.97456$ |
$4.66981$ |
$[0, -1, 0, -318881, -69201375]$ |
\(y^2=x^3-x^2-318881x-69201375\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 40.6.0.c.1, $\ldots$ |
$[(3688323/41, 6819081780/41)]$ |
41280.s3 |
41280d2 |
41280.s |
41280d |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$2.293536578$ |
$1$ |
|
$3$ |
$184320$ |
$1.586189$ |
$276670733768281/336980250$ |
$0.95357$ |
$4.30278$ |
$[0, -1, 0, -86881, 9875425]$ |
\(y^2=x^3-x^2-86881x+9875425\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0-6.a.1.3, $\ldots$ |
$[(-311, 2592)]$ |
41280.s4 |
41280d1 |
41280.s |
41280d |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$4.587073156$ |
$1$ |
|
$3$ |
$92160$ |
$1.239614$ |
$137467988281/72562500$ |
$0.93880$ |
$3.58702$ |
$[0, -1, 0, -6881, 67425]$ |
\(y^2=x^3-x^2-6881x+67425\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 40.6.0.c.1, $\ldots$ |
$[(2163, 100500)]$ |
41280.t1 |
41280h2 |
41280.t |
41280h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.510346487$ |
$1$ |
|
$3$ |
$43008$ |
$0.814874$ |
$2305199161/277350$ |
$0.86195$ |
$3.20236$ |
$[0, -1, 0, -1761, -24735]$ |
\(y^2=x^3-x^2-1761x-24735\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(73, 480)]$ |
41280.t2 |
41280h1 |
41280.t |
41280h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$3.020692974$ |
$1$ |
|
$3$ |
$21504$ |
$0.468300$ |
$1685159/7740$ |
$0.81723$ |
$2.70517$ |
$[0, -1, 0, 159, -2079]$ |
\(y^2=x^3-x^2+159x-2079\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(63, 504)]$ |
41280.u1 |
41280g2 |
41280.u |
41280g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.113410932$ |
$1$ |
|
$5$ |
$27648$ |
$0.594458$ |
$3825694144/2015625$ |
$0.88711$ |
$2.85871$ |
$[0, -1, 0, -521, 1545]$ |
\(y^2=x^3-x^2-521x+1545\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(1, 32)]$ |
41280.u2 |
41280g1 |
41280.u |
41280g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.226821864$ |
$1$ |
|
$3$ |
$13824$ |
$0.247884$ |
$3268147904/2080125$ |
$0.88741$ |
$2.45258$ |
$[0, -1, 0, 124, 126]$ |
\(y^2=x^3-x^2+124x+126\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(63, 504)]$ |
41280.v1 |
41280y4 |
41280.v |
41280y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{4} \cdot 5 \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$3.688082649$ |
$1$ |
|
$3$ |
$98304$ |
$1.140253$ |
$41725476313778/17415$ |
$0.93732$ |
$4.05957$ |
$[0, -1, 0, -36705, 2718945]$ |
\(y^2=x^3-x^2-36705x+2718945\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(192, 1647)]$ |
41280.v2 |
41280y2 |
41280.v |
41280y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1.844041324$ |
$1$ |
|
$9$ |
$49152$ |
$0.793679$ |
$20674973956/416025$ |
$0.86747$ |
$3.27833$ |
$[0, -1, 0, -2305, 42625]$ |
\(y^2=x^3-x^2-2305x+42625\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 120.24.0.?, 344.12.0.?, $\ldots$ |
$[(35, 60)]$ |
41280.v3 |
41280y1 |
41280.v |
41280y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3 \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$0.922020662$ |
$1$ |
|
$5$ |
$24576$ |
$0.447105$ |
$192143824/80625$ |
$0.81096$ |
$2.70770$ |
$[0, -1, 0, -305, -975]$ |
\(y^2=x^3-x^2-305x-975\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(-5, 20)]$ |
41280.v4 |
41280y3 |
41280.v |
41280y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{17} \cdot 3 \cdot 5 \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$3.688082649$ |
$1$ |
|
$3$ |
$98304$ |
$1.140253$ |
$715822/51282015$ |
$1.03514$ |
$3.48049$ |
$[0, -1, 0, 95, 124705]$ |
\(y^2=x^3-x^2+95x+124705\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(-13, 348)]$ |
41280.w1 |
41280cs4 |
41280.w |
41280cs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{2} \cdot 5 \cdot 43^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.128410$ |
$284630612552/153846045$ |
$0.93266$ |
$3.45984$ |
$[0, -1, 0, -4385, 30177]$ |
\(y^2=x^3-x^2-4385x+30177\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 344.24.0.?, 1720.48.0.? |
$[ ]$ |
41280.w2 |
41280cs2 |
41280.w |
41280cs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$36864$ |
$0.781836$ |
$466566337216/3744225$ |
$0.91965$ |
$3.31069$ |
$[0, -1, 0, -2585, -49383]$ |
\(y^2=x^3-x^2-2585x-49383\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 344.24.0.?, 860.24.0.?, $\ldots$ |
$[ ]$ |
41280.w3 |
41280cs1 |
41280.w |
41280cs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18432$ |
$0.435262$ |
$29687332481344/1935$ |
$0.95388$ |
$3.31014$ |
$[0, -1, 0, -2580, -49590]$ |
\(y^2=x^3-x^2-2580x-49590\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 344.24.0.?, $\ldots$ |
$[ ]$ |
41280.w4 |
41280cs3 |
41280.w |
41280cs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{8} \cdot 5^{4} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.128410$ |
$-2186875592/176326875$ |
$0.94374$ |
$3.46692$ |
$[0, -1, 0, -865, -115775]$ |
\(y^2=x^3-x^2-865x-115775\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 344.24.0.?, 1720.48.0.? |
$[ ]$ |
41280.x1 |
41280r2 |
41280.x |
41280r |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33792$ |
$0.725975$ |
$2186875592/1248075$ |
$0.91591$ |
$3.00175$ |
$[0, -1, 0, -865, -863]$ |
\(y^2=x^3-x^2-865x-863\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[ ]$ |