| 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 |
| 60840.a1 |
60840r4 |
60840.a |
60840r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.901184$ |
$546718898/405$ |
$0.99169$ |
$4.51393$ |
$[0, 0, 0, -329043, 72602062]$ |
\(y^2=x^3-329043x+72602062\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.a2 |
60840r3 |
60840.a |
60840r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$491520$ |
$1.901184$ |
$136835858/1875$ |
$0.97925$ |
$4.38819$ |
$[0, 0, 0, -207363, -35912162]$ |
\(y^2=x^3-207363x-35912162\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 60840.a3 |
60840r2 |
60840.a |
60840r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.554611$ |
$470596/225$ |
$1.13245$ |
$3.81033$ |
$[0, 0, 0, -24843, 628342]$ |
\(y^2=x^3-24843x+628342\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 60.12.0.b.1, $\ldots$ |
$[]$ |
| 60840.a4 |
60840r1 |
60840.a |
60840r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.208036$ |
$21296/15$ |
$0.85611$ |
$3.40349$ |
$[0, 0, 0, 5577, 74698]$ |
\(y^2=x^3+5577x+74698\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[]$ |
| 60840.b1 |
60840p1 |
60840.b |
60840p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$2.514513860$ |
$1$ |
|
$10$ |
$299520$ |
$1.622063$ |
$7311616/25$ |
$0.98811$ |
$4.14750$ |
$[0, 0, 0, -85683, -9625057]$ |
\(y^2=x^3-85683x-9625057\) |
2.2.0.a.1, 26.6.0.a.1, 60.4.0-2.a.1.1, 780.12.0.? |
$[(-169, 169), (-166, 155)]$ |
| 60840.c1 |
60840o1 |
60840.c |
60840o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$898560$ |
$2.137699$ |
$-338/5$ |
$0.82681$ |
$4.44520$ |
$[0, 0, 0, -85683, 49753262]$ |
\(y^2=x^3-85683x+49753262\) |
40.2.0.a.1 |
$[]$ |
| 60840.d1 |
60840m1 |
60840.d |
60840m |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.186552240$ |
$1$ |
|
$28$ |
$147456$ |
$1.357079$ |
$-173056/16875$ |
$1.04418$ |
$3.59394$ |
$[0, 0, 0, -2028, 457652]$ |
\(y^2=x^3-2028x+457652\) |
6.2.0.a.1 |
$[(-26, 702), (26, 650)]$ |
| 60840.e1 |
60840n1 |
60840.e |
60840n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.104347$ |
$44302512384/390625$ |
$0.99127$ |
$3.54107$ |
$[0, 0, 0, -9243, -339417]$ |
\(y^2=x^3-9243x-339417\) |
2.2.0.a.1, 26.6.0.a.1, 156.12.0.? |
$[]$ |
| 60840.f1 |
60840a1 |
60840.f |
60840a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.270438730$ |
$1$ |
|
$8$ |
$107520$ |
$1.055374$ |
$-27648/65$ |
$0.73656$ |
$3.27522$ |
$[0, 0, 0, -2028, 79092]$ |
\(y^2=x^3-2028x+79092\) |
390.2.0.? |
$[(-26, 338)]$ |
| 60840.g1 |
60840bg2 |
60840.g |
60840bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9289728$ |
$3.308270$ |
$216092050322508/3016755625$ |
$1.03524$ |
$5.92006$ |
$[0, 0, 0, -57498363, 165778690662]$ |
\(y^2=x^3-57498363x+165778690662\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 60840.g2 |
60840bg1 |
60840.g |
60840bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4644864$ |
$2.961697$ |
$-445090032/858203125$ |
$1.13399$ |
$5.34202$ |
$[0, 0, 0, -460863, 6952068162]$ |
\(y^2=x^3-460863x+6952068162\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 60840.h1 |
60840bn1 |
60840.h |
60840bn |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.869985532$ |
$1$ |
|
$19$ |
$30720$ |
$0.615272$ |
$2725888/225$ |
$0.86421$ |
$2.89374$ |
$[0, 0, 0, -858, 8957]$ |
\(y^2=x^3-858x+8957\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(26, 65), (22, 27)]$ |
| 60840.h2 |
60840bn2 |
60840.h |
60840bn |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.869985532$ |
$1$ |
|
$23$ |
$61440$ |
$0.961844$ |
$194672/1875$ |
$1.06252$ |
$3.15548$ |
$[0, 0, 0, 897, 40898]$ |
\(y^2=x^3+897x+40898\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(49, 450), (91, 936)]$ |
| 60840.i1 |
60840k1 |
60840.i |
60840k |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 5 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$0.900691$ |
$-1316978/1215$ |
$0.85664$ |
$3.12185$ |
$[0, 0, 0, -1443, 33982]$ |
\(y^2=x^3-1443x+33982\) |
120.2.0.? |
$[]$ |
| 60840.j1 |
60840bf2 |
60840.j |
60840bf |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$1.844770$ |
$3721734/25$ |
$1.06284$ |
$4.36016$ |
$[0, 0, 0, -187083, 30964518]$ |
\(y^2=x^3-187083x+30964518\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 60840.j2 |
60840bf1 |
60840.j |
60840bf |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$1.498198$ |
$-108/5$ |
$1.29203$ |
$3.74775$ |
$[0, 0, 0, -4563, 1067742]$ |
\(y^2=x^3-4563x+1067742\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
| 60840.k1 |
60840bk1 |
60840.k |
60840bk |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.591840845$ |
$1$ |
|
$4$ |
$1916928$ |
$2.608231$ |
$-200601496576/46875$ |
$1.10192$ |
$5.32693$ |
$[0, 0, 0, -6511908, 6397321268]$ |
\(y^2=x^3-6511908x+6397321268\) |
6.2.0.a.1 |
$[(1444, 2250)]$ |
| 60840.l1 |
60840bm1 |
60840.l |
60840bm |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.798639$ |
$202612/45$ |
$0.94010$ |
$3.03532$ |
$[0, 0, 0, -1443, -16562]$ |
\(y^2=x^3-1443x-16562\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
| 60840.l2 |
60840bm2 |
60840.l |
60840bm |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.145212$ |
$1143574/2025$ |
$0.89329$ |
$3.32094$ |
$[0, 0, 0, 3237, -101738]$ |
\(y^2=x^3+3237x-101738\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 60840.m1 |
60840h4 |
60840.m |
60840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$2.144901$ |
$9636491538/8125$ |
$0.94289$ |
$4.77440$ |
$[0, 0, 0, -856323, 304781022]$ |
\(y^2=x^3-856323x+304781022\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.m2 |
60840h2 |
60840.m |
60840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$344064$ |
$1.798328$ |
$8586756/4225$ |
$0.96662$ |
$4.07394$ |
$[0, 0, 0, -65403, 2491398]$ |
\(y^2=x^3-65403x+2491398\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 60840.m3 |
60840h1 |
60840.m |
60840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.451754$ |
$5256144/65$ |
$0.85145$ |
$3.90354$ |
$[0, 0, 0, -34983, -2491398]$ |
\(y^2=x^3-34983x-2491398\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.m4 |
60840h3 |
60840.m |
60840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$688128$ |
$2.144901$ |
$208974222/142805$ |
$0.95226$ |
$4.42662$ |
$[0, 0, 0, 238797, 19100718]$ |
\(y^2=x^3+238797x+19100718\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.s.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.n1 |
60840be2 |
60840.n |
60840be |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$258048$ |
$1.648514$ |
$492983766/845$ |
$0.87955$ |
$4.20535$ |
$[0, 0, 0, -105963, -13256698]$ |
\(y^2=x^3-105963x-13256698\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 60840.n2 |
60840be1 |
60840.n |
60840be |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.301941$ |
$-78732/325$ |
$0.84264$ |
$3.53910$ |
$[0, 0, 0, -4563, -338338]$ |
\(y^2=x^3-4563x-338338\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 60840.o1 |
60840f4 |
60840.o |
60840f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{3} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$3.152344$ |
$52337949619538/23423590125$ |
$0.99759$ |
$5.55508$ |
$[0, 0, 0, -15052323, 10700985022]$ |
\(y^2=x^3-15052323x+10700985022\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.o2 |
60840f2 |
60840.o |
60840f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.805771$ |
$12677589459076/213890625$ |
$1.04517$ |
$5.36344$ |
$[0, 0, 0, -7447323, -7707677978]$ |
\(y^2=x^3-7447323x-7707677978\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 60840.o3 |
60840f1 |
60840.o |
60840f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$2.459198$ |
$50091484483024/14625$ |
$1.04455$ |
$5.36233$ |
$[0, 0, 0, -7416903, -7774668902]$ |
\(y^2=x^3-7416903x-7774668902\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.o4 |
60840f3 |
60840.o |
60840f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{12} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$3.152344$ |
$-546718898/28564453125$ |
$1.10685$ |
$5.54976$ |
$[0, 0, 0, -329043, -21828921842]$ |
\(y^2=x^3-329043x-21828921842\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.p1 |
60840bj4 |
60840.p |
60840bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$9.002580668$ |
$1$ |
|
$1$ |
$2064384$ |
$2.843296$ |
$49235161015876/137109375$ |
$0.96975$ |
$5.48661$ |
$[0, 0, 0, -11706123, -15378723178]$ |
\(y^2=x^3-11706123x-15378723178\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.z.1.13, $\ldots$ |
$[(-51314/5, 145566/5)]$ |
| 60840.p2 |
60840bj3 |
60840.p |
60840bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$2.250645167$ |
$1$ |
|
$5$ |
$2064384$ |
$2.843296$ |
$39914580075556/172718325$ |
$0.96849$ |
$5.46756$ |
$[0, 0, 0, -10915203, 13828212398]$ |
\(y^2=x^3-10915203x+13828212398\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.z.1.5, $\ldots$ |
$[(1027, 60840)]$ |
| 60840.p3 |
60840bj2 |
60840.p |
60840bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$4.501290334$ |
$1$ |
|
$7$ |
$1032192$ |
$2.496723$ |
$133649126224/77000625$ |
$1.02472$ |
$4.82435$ |
$[0, 0, 0, -1028703, -26728702]$ |
\(y^2=x^3-1028703x-26728702\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[(-998, 2430)]$ |
| 60840.p4 |
60840bj1 |
60840.p |
60840bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$2.250645167$ |
$1$ |
|
$3$ |
$516096$ |
$2.150150$ |
$33165879296/19278675$ |
$1.18904$ |
$4.44615$ |
$[0, 0, 0, 256542, -3337243]$ |
\(y^2=x^3+256542x-3337243\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[(481, 15210)]$ |
| 60840.q1 |
60840g4 |
60840.q |
60840g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2064384$ |
$2.699436$ |
$10625310339698/3855735$ |
$1.18546$ |
$5.41033$ |
$[0, 0, 0, -8846643, -10124641618]$ |
\(y^2=x^3-8846643x-10124641618\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 60840.q2 |
60840g3 |
60840.q |
60840g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{18} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2064384$ |
$2.699436$ |
$1481943889298/34543665$ |
$0.95159$ |
$5.23151$ |
$[0, 0, 0, -4587843, 3705385502]$ |
\(y^2=x^3-4587843x+3705385502\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 104.12.0.?, $\ldots$ |
$[]$ |
| 60840.q3 |
60840g2 |
60840.q |
60840g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1032192$ |
$2.352863$ |
$7793764996/3080025$ |
$0.92131$ |
$4.69221$ |
$[0, 0, 0, -633243, -109221658]$ |
\(y^2=x^3-633243x-109221658\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.2, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 60840.q4 |
60840g1 |
60840.q |
60840g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$2.006290$ |
$253012016/219375$ |
$0.87387$ |
$4.25522$ |
$[0, 0, 0, 127257, -12333958]$ |
\(y^2=x^3+127257x-12333958\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 60840.r1 |
60840j1 |
60840.r |
60840j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{17} \cdot 5 \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7096320$ |
$3.191521$ |
$396555344454656/328867205355$ |
$1.02213$ |
$5.55014$ |
$[0, 0, 0, 14782092, -14395262492]$ |
\(y^2=x^3+14782092x-14395262492\) |
390.2.0.? |
$[]$ |
| 60840.s1 |
60840i1 |
60840.s |
60840i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.063690$ |
$-1316978/10125$ |
$0.91204$ |
$3.27671$ |
$[0, 0, 0, -1443, 79742]$ |
\(y^2=x^3-1443x+79742\) |
40.2.0.a.1 |
$[]$ |
| 60840.t1 |
60840s1 |
60840.t |
60840s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$16.40637683$ |
$1$ |
|
$1$ |
$11741184$ |
$3.521236$ |
$621217777580032/74733890625$ |
$1.05549$ |
$6.03772$ |
$[0, 0, 0, -88569858, -285543252943]$ |
\(y^2=x^3-88569858x-285543252943\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-357947279/254, 3068910822375/254)]$ |
| 60840.t2 |
60840s2 |
60840.t |
60840s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$32.81275367$ |
$1$ |
|
$1$ |
$23482368$ |
$3.867809$ |
$116227003261808/533935546875$ |
$1.04468$ |
$6.31309$ |
$[0, 0, 0, 127647897, -1462157032102]$ |
\(y^2=x^3+127647897x-1462157032102\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(6683006708813474/456403, 567697033876746724303678/456403)]$ |
| 60840.u1 |
60840bh1 |
60840.u |
60840bh |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2257920$ |
$2.705906$ |
$74251994112/29007265625$ |
$1.10272$ |
$5.06307$ |
$[0, 0, 0, 281892, 1495620932]$ |
\(y^2=x^3+281892x+1495620932\) |
390.2.0.? |
$[]$ |
| 60840.v1 |
60840bl1 |
60840.v |
60840bl |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$5.495059099$ |
$1$ |
|
$2$ |
$449280$ |
$1.875553$ |
$43264/25$ |
$1.09219$ |
$4.14750$ |
$[0, 0, 0, -85683, -371293]$ |
\(y^2=x^3-85683x-371293\) |
2.2.0.a.1, 26.6.0.a.1, 780.12.0.? |
$[(641, 14425)]$ |
| 60840.w1 |
60840l1 |
60840.w |
60840l |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.646436$ |
$3037375744/25$ |
$1.18153$ |
$3.29779$ |
$[0, 0, 0, -3783, -89557]$ |
\(y^2=x^3-3783x-89557\) |
2.2.0.a.1, 26.6.0.a.1, 780.12.0.? |
$[]$ |
| 60840.x1 |
60840bo1 |
60840.x |
60840bo |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{5} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1797120$ |
$2.516155$ |
$-934577152/9375$ |
$0.94283$ |
$5.07391$ |
$[0, 0, 0, -2557308, 1587648868]$ |
\(y^2=x^3-2557308x+1587648868\) |
390.2.0.? |
$[]$ |
| 60840.y1 |
60840bp2 |
60840.y |
60840bp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$921600$ |
$2.065979$ |
$7824392006186/7381125$ |
$1.00519$ |
$4.68404$ |
$[0, 0, 0, -614523, 185268278]$ |
\(y^2=x^3-614523x+185268278\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 60840.y2 |
60840bp1 |
60840.y |
60840bp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$460800$ |
$1.719404$ |
$-1735192372/3796875$ |
$0.97338$ |
$3.99937$ |
$[0, 0, 0, -29523, 4269278]$ |
\(y^2=x^3-29523x+4269278\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 60840.z1 |
60840q4 |
60840.z |
60840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.477100$ |
$490757540836/2142075$ |
$0.93734$ |
$5.06827$ |
$[0, 0, 0, -2519283, 1533273118]$ |
\(y^2=x^3-2519283x+1533273118\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[]$ |
| 60840.z2 |
60840q2 |
60840.z |
60840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1032192$ |
$2.130527$ |
$1650587344/950625$ |
$0.98820$ |
$4.42547$ |
$[0, 0, 0, -237783, -3088982]$ |
\(y^2=x^3-237783x-3088982\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[]$ |
| 60840.z3 |
60840q1 |
60840.z |
60840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.783955$ |
$9538484224/26325$ |
$0.91841$ |
$4.33302$ |
$[0, 0, 0, -169338, -26757263]$ |
\(y^2=x^3-169338x-26757263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$ |
$[]$ |
