| 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 |
| 15730.a1 |
15730o1 |
15730.a |
15730o |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 5^{5} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.718710175$ |
$1$ |
|
$4$ |
$748800$ |
$2.337521$ |
$-3158470573163361/5758438400000$ |
$0.98240$ |
$5.32937$ |
$[1, -1, 0, -369859, -176287787]$ |
\(y^2+xy=x^3-x^2-369859x-176287787\) |
440.2.0.? |
$[(1367, 42574)]$ |
| 15730.b1 |
15730e1 |
15730.b |
15730e |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{3} \cdot 5 \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17160$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2448$ |
$-0.359563$ |
$-2259169/520$ |
$0.75111$ |
$2.04496$ |
$[1, 0, 1, -14, -24]$ |
\(y^2+xy+y=x^3-14x-24\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 520.2.0.?, 1560.8.0.?, 17160.16.0.? |
$[ ]$ |
| 15730.b2 |
15730e2 |
15730.b |
15730e |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 5^{3} \cdot 11^{2} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17160$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7344$ |
$0.189744$ |
$820803071/549250$ |
$0.87067$ |
$2.62038$ |
$[1, 0, 1, 96, 152]$ |
\(y^2+xy+y=x^3+96x+152\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 520.2.0.?, 1560.8.0.?, 17160.16.0.? |
$[ ]$ |
| 15730.c1 |
15730f4 |
15730.c |
15730f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 5^{6} \cdot 11^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$2.291950$ |
$1418098748958579169/8307406250$ |
$1.04337$ |
$5.81407$ |
$[1, 0, 1, -2832129, 1834254002]$ |
\(y^2+xy+y=x^3-2832129x+1834254002\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0-6.a.1.9, $\ldots$ |
$[ ]$ |
| 15730.c2 |
15730f3 |
15730.c |
15730f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 5^{3} \cdot 11^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.945377$ |
$-327495950129089/26547449500$ |
$1.01229$ |
$4.96112$ |
$[1, 0, 1, -173759, 29752446]$ |
\(y^2+xy+y=x^3-173759x+29752446\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.4, 33.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
| 15730.c3 |
15730f2 |
15730.c |
15730f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{3} \cdot 5^{2} \cdot 11^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.742645$ |
$7962857630209/4606058600$ |
$1.01501$ |
$4.56294$ |
$[1, 0, 1, -50339, 88086]$ |
\(y^2+xy+y=x^3-50339x+88086\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0-6.a.1.5, $\ldots$ |
$[ ]$ |
| 15730.c4 |
15730f1 |
15730.c |
15730f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 5 \cdot 11^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.396070$ |
$124326214271/71980480$ |
$0.99017$ |
$4.13249$ |
$[1, 0, 1, 12581, 12582]$ |
\(y^2+xy+y=x^3+12581x+12582\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 33.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
| 15730.d1 |
15730c1 |
15730.d |
15730c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.352346076$ |
$1$ |
|
$16$ |
$1920$ |
$-0.313246$ |
$2259169/1300$ |
$0.85215$ |
$2.01031$ |
$[1, 1, 0, -13, -7]$ |
\(y^2+xy=x^3+x^2-13x-7\) |
26.2.0.a.1 |
$[(-1, 3), (4, 3)]$ |
| 15730.e1 |
15730h1 |
15730.e |
15730h |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.966362994$ |
$1$ |
|
$4$ |
$359040$ |
$2.280491$ |
$285564033218841289/1300$ |
$0.97891$ |
$6.14451$ |
$[1, 1, 0, -8210578, 9052002128]$ |
\(y^2+xy=x^3+x^2-8210578x+9052002128\) |
26.2.0.a.1 |
$[(1654, -822)]$ |
| 15730.f1 |
15730b1 |
15730.f |
15730b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{5} \cdot 5^{3} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.562128$ |
$-90694355177089/7436000$ |
$0.91443$ |
$4.81470$ |
$[1, 1, 0, -113258, -14719052]$ |
\(y^2+xy=x^3+x^2-113258x-14719052\) |
440.2.0.? |
$[ ]$ |
| 15730.g1 |
15730g1 |
15730.g |
15730g |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{14} \cdot 5 \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.269086691$ |
$1$ |
|
$2$ |
$73920$ |
$1.666462$ |
$-16254134809/13844480$ |
$0.88433$ |
$4.51188$ |
$[1, 1, 0, -31583, -3409787]$ |
\(y^2+xy=x^3+x^2-31583x-3409787\) |
20.2.0.a.1 |
$[(3438, 199625)]$ |
| 15730.h1 |
15730m1 |
15730.h |
15730m |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{6} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.421679349$ |
$1$ |
|
$4$ |
$362880$ |
$2.259304$ |
$3559589366328163617361/1003976272000000$ |
$1.01444$ |
$5.63157$ |
$[1, 1, 0, -1573332, -760059824]$ |
\(y^2+xy=x^3+x^2-1573332x-760059824\) |
26.2.0.a.1 |
$[(-728, 764)]$ |
| 15730.i1 |
15730l1 |
15730.i |
15730l |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{8} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.189577495$ |
$1$ |
|
$8$ |
$202752$ |
$2.036892$ |
$2248846192681/1300000000$ |
$1.02109$ |
$4.92839$ |
$[1, 1, 0, -163352, -906176]$ |
\(y^2+xy=x^3+x^2-163352x-906176\) |
26.2.0.a.1 |
$[(-192, 4936)]$ |
| 15730.j1 |
15730a2 |
15730.j |
15730a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 5^{10} \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$16.79814213$ |
$1$ |
|
$0$ |
$103680$ |
$1.737524$ |
$1411482371105506419/42910156250$ |
$1.12229$ |
$5.06915$ |
$[1, -1, 0, -257065, -50100825]$ |
\(y^2+xy=x^3-x^2-257065x-50100825\) |
2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.? |
$[(14566119/133, 39513007038/133)]$ |
| 15730.j2 |
15730a1 |
15730.j |
15730a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 5^{5} \cdot 11^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$8.399071067$ |
$1$ |
|
$1$ |
$51840$ |
$1.390951$ |
$-303180038976339/60335112500$ |
$1.05510$ |
$4.22573$ |
$[1, -1, 0, -15395, -848479]$ |
\(y^2+xy=x^3-x^2-15395x-848479\) |
2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.? |
$[(11125/7, 889127/7)]$ |
| 15730.k1 |
15730j3 |
15730.k |
15730j |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{5} \cdot 5 \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5720$ |
$48$ |
$0$ |
$74.90445547$ |
$4$ |
$2$ |
$0$ |
$3225600$ |
$3.457150$ |
$355995140004443961140387841/2768480$ |
$1.13919$ |
$7.81556$ |
$[1, -1, 0, -1786592429, -29065625520827]$ |
\(y^2+xy=x^3-x^2-1786592429x-29065625520827\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(332023521937807223963275941781093/17275042237741, 6042669388282631873901380701637698024410281496616/17275042237741)]$ |
| 15730.k2 |
15730j4 |
15730.k |
15730j |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{5} \cdot 5^{4} \cdot 11^{18} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5720$ |
$48$ |
$0$ |
$18.72611386$ |
$1$ |
|
$0$ |
$3225600$ |
$3.457150$ |
$87501897507774086005761/815991377947460000$ |
$1.03224$ |
$6.95551$ |
$[1, -1, 0, -111913709, -451979239035]$ |
\(y^2+xy=x^3-x^2-111913709x-451979239035\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(-7568670889/1109, 86563389404493/1109)]$ |
| 15730.k3 |
15730j2 |
15730.k |
15730j |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5720$ |
$48$ |
$0$ |
$37.45222773$ |
$1$ |
|
$2$ |
$1612800$ |
$3.110577$ |
$86912881496074271306241/7664481510400$ |
$1.08157$ |
$6.95481$ |
$[1, -1, 0, -111662029, -454129441947]$ |
\(y^2+xy=x^3-x^2-111662029x-454129441947\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 104.12.0.?, 220.24.0.?, $\ldots$ |
$[(564656289158931482/6719299, 96607057379569557427617641/6719299)]$ |
| 15730.k4 |
15730j1 |
15730.k |
15730j |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{20} \cdot 5 \cdot 11^{9} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5720$ |
$48$ |
$0$ |
$18.72611386$ |
$1$ |
|
$1$ |
$806400$ |
$2.764004$ |
$-21075830718885163521/199306463150080$ |
$1.00386$ |
$6.09503$ |
$[1, -1, 0, -6963149, -7128043675]$ |
\(y^2+xy=x^3-x^2-6963149x-7128043675\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(288164134714/509, 154615337658200791/509)]$ |
| 15730.l1 |
15730k3 |
15730.l |
15730k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 5 \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$11440$ |
$192$ |
$3$ |
$3.436374789$ |
$1$ |
|
$2$ |
$46080$ |
$1.394735$ |
$294889639316481/260$ |
$1.02336$ |
$4.93671$ |
$[1, -1, 0, -167789, 26496113]$ |
\(y^2+xy=x^3-x^2-167789x+26496113\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(509, 8276)]$ |
| 15730.l2 |
15730k2 |
15730.l |
15730k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 5^{2} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$5720$ |
$192$ |
$3$ |
$1.718187394$ |
$1$ |
|
$8$ |
$23040$ |
$1.048161$ |
$72043225281/67600$ |
$1.01871$ |
$4.07602$ |
$[1, -1, 0, -10489, 415773]$ |
\(y^2+xy=x^3-x^2-10489x+415773\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 44.24.0-4.a.1.1, 88.48.0.?, $\ldots$ |
$[(62, -1)]$ |
| 15730.l3 |
15730k4 |
15730.l |
15730k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$11440$ |
$192$ |
$3$ |
$0.859093697$ |
$1$ |
|
$6$ |
$46080$ |
$1.394735$ |
$-32798729601/71402500$ |
$1.04885$ |
$4.15609$ |
$[1, -1, 0, -8069, 610825]$ |
\(y^2+xy=x^3-x^2-8069x+610825\) |
2.3.0.a.1, 4.24.0.c.1, 44.48.0-4.c.1.1, 520.48.1.?, 1040.96.3.?, $\ldots$ |
$[(36, 587)]$ |
| 15730.l4 |
15730k1 |
15730.l |
15730k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 5 \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$11440$ |
$192$ |
$3$ |
$3.436374789$ |
$1$ |
|
$3$ |
$11520$ |
$0.701588$ |
$33076161/16640$ |
$0.93564$ |
$3.28062$ |
$[1, -1, 0, -809, 3405]$ |
\(y^2+xy=x^3-x^2-809x+3405\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(114, 1119)]$ |
| 15730.m1 |
15730d2 |
15730.m |
15730d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{11} \cdot 5^{14} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2365440$ |
$3.063984$ |
$211322034896126991409/19662500000000000$ |
$0.98992$ |
$6.33191$ |
$[1, 1, 0, -15015013, -20521376883]$ |
\(y^2+xy=x^3+x^2-15015013x-20521376883\) |
2.3.0.a.1, 104.6.0.?, 220.6.0.?, 5720.12.0.? |
$[ ]$ |
| 15730.m2 |
15730d1 |
15730.m |
15730d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{22} \cdot 5^{7} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1182720$ |
$2.717411$ |
$81402860249195471/609157120000000$ |
$0.98682$ |
$5.77490$ |
$[1, 1, 0, 1092507, -1517724787]$ |
\(y^2+xy=x^3+x^2+1092507x-1517724787\) |
2.3.0.a.1, 104.6.0.?, 110.6.0.?, 5720.12.0.? |
$[ ]$ |
| 15730.n1 |
15730i1 |
15730.n |
15730i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{5} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5720$ |
$48$ |
$0$ |
$8.204425456$ |
$1$ |
|
$1$ |
$112000$ |
$1.555899$ |
$65787589563409/10400000$ |
$0.97958$ |
$4.78146$ |
$[1, 1, 0, -101763, 12450893]$ |
\(y^2+xy=x^3+x^2-101763x+12450893\) |
2.3.0.a.1, 4.6.0.b.1, 88.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(15094/3, 1801111/3)]$ |
| 15730.n2 |
15730i2 |
15730.n |
15730i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 5^{10} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5720$ |
$48$ |
$0$ |
$4.102212728$ |
$1$ |
|
$2$ |
$224000$ |
$1.902472$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$4.81880$ |
$[1, 1, 0, -92083, 14927037]$ |
\(y^2+xy=x^3+x^2-92083x+14927037\) |
2.3.0.a.1, 4.6.0.a.1, 88.12.0.?, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(6666, 540417)]$ |
| 15730.o1 |
15730n2 |
15730.o |
15730n |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 5^{6} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$1.405358271$ |
$1$ |
|
$2$ |
$69120$ |
$1.377432$ |
$147281603041/49156250$ |
$0.87576$ |
$4.15002$ |
$[1, 1, 0, -13312, 379086]$ |
\(y^2+xy=x^3+x^2-13312x+379086\) |
2.3.0.a.1, 104.6.0.?, 220.6.0.?, 5720.12.0.? |
$[(-93, 954)]$ |
| 15730.o2 |
15730n1 |
15730.o |
15730n |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 5^{3} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$0.702679135$ |
$1$ |
|
$5$ |
$34560$ |
$1.030859$ |
$881974079/929500$ |
$0.83354$ |
$3.62039$ |
$[1, 1, 0, 2418, 42464]$ |
\(y^2+xy=x^3+x^2+2418x+42464\) |
2.3.0.a.1, 104.6.0.?, 110.6.0.?, 5720.12.0.? |
$[(83, 866)]$ |
| 15730.p1 |
15730q1 |
15730.p |
15730q |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 5^{4} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$287232$ |
$1.968090$ |
$534701144241/130000$ |
$0.95313$ |
$5.27602$ |
$[1, -1, 0, -500539, 136399445]$ |
\(y^2+xy=x^3-x^2-500539x+136399445\) |
26.2.0.a.1 |
$[ ]$ |
| 15730.q1 |
15730p1 |
15730.q |
15730p |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 5 \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$1.174301$ |
$-20145851361/3141710$ |
$0.86623$ |
$3.96885$ |
$[1, -1, 0, -6859, -244645]$ |
\(y^2+xy=x^3-x^2-6859x-244645\) |
440.2.0.? |
$[ ]$ |
| 15730.r1 |
15730w1 |
15730.r |
15730w |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{3} \cdot 5 \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$26928$ |
$0.839385$ |
$-2259169/520$ |
$0.75111$ |
$3.53383$ |
$[1, 0, 0, -1636, 29976]$ |
\(y^2+xy=x^3-1636x+29976\) |
3.8.0-3.a.1.2, 520.2.0.?, 1560.16.0.? |
$[ ]$ |
| 15730.r2 |
15730w2 |
15730.r |
15730w |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 5^{3} \cdot 11^{8} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80784$ |
$1.388691$ |
$820803071/549250$ |
$0.87067$ |
$4.10924$ |
$[1, 0, 0, 11674, -190970]$ |
\(y^2+xy=x^3+11674x-190970\) |
3.8.0-3.a.1.1, 520.2.0.?, 1560.16.0.? |
$[ ]$ |
| 15730.s1 |
15730y3 |
15730.s |
15730y |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 5 \cdot 11^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$77760$ |
$1.429398$ |
$988345570681/44994560$ |
$0.95432$ |
$4.34702$ |
$[1, 0, 0, -25110, 1467940]$ |
\(y^2+xy=x^3-25110x+1467940\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[ ]$ |
| 15730.s2 |
15730y1 |
15730.s |
15730y |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$25920$ |
$0.880091$ |
$3803721481/26000$ |
$0.90619$ |
$3.77164$ |
$[1, 0, 0, -3935, -94775]$ |
\(y^2+xy=x^3-3935x-94775\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[ ]$ |
| 15730.s3 |
15730y2 |
15730.s |
15730y |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 5^{6} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.226664$ |
$-217081801/10562500$ |
$0.97746$ |
$3.93516$ |
$[1, 0, 0, -1515, -209483]$ |
\(y^2+xy=x^3-1515x-209483\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ |
$[ ]$ |
| 15730.s4 |
15730y4 |
15730.s |
15730y |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$1.775970$ |
$157376536199/7722894400$ |
$1.01877$ |
$4.61515$ |
$[1, 0, 0, 13610, 5595492]$ |
\(y^2+xy=x^3+13610x+5595492\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ |
$[ ]$ |
| 15730.t1 |
15730t1 |
15730.t |
15730t |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{14} \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.131276851$ |
$1$ |
|
$8$ |
$6720$ |
$0.467515$ |
$-16254134809/13844480$ |
$0.88433$ |
$3.02301$ |
$[1, 1, 1, -261, 2443]$ |
\(y^2+xy+y=x^3+x^2-261x+2443\) |
20.2.0.a.1 |
$[(-1, 52)]$ |
| 15730.u1 |
15730s1 |
15730.u |
15730s |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.199302613$ |
$1$ |
|
$6$ |
$26880$ |
$1.054180$ |
$2053225511/1189760$ |
$0.93592$ |
$3.70784$ |
$[1, 1, 1, 3204, -1187]$ |
\(y^2+xy+y=x^3+x^2+3204x-1187\) |
440.2.0.? |
$[(127, 1509)]$ |
| 15730.v1 |
15730u1 |
15730.v |
15730u |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$5.369144045$ |
$1$ |
|
$0$ |
$32640$ |
$1.081543$ |
$285564033218841289/1300$ |
$0.97891$ |
$4.65565$ |
$[1, 1, 1, -67856, -6831747]$ |
\(y^2+xy+y=x^3+x^2-67856x-6831747\) |
26.2.0.a.1 |
$[(-154431/32, 2454607/32)]$ |
| 15730.w1 |
15730v1 |
15730.w |
15730v |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 5^{2} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$0.885702$ |
$2259169/1300$ |
$0.85215$ |
$3.49918$ |
$[1, 1, 1, -1636, 1233]$ |
\(y^2+xy+y=x^3+x^2-1636x+1233\) |
26.2.0.a.1 |
$[ ]$ |
| 15730.x1 |
15730ba1 |
15730.x |
15730ba |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 5^{7} \cdot 11^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.064937384$ |
$1$ |
|
$14$ |
$6128640$ |
$3.832443$ |
$-135412551115258010417641/367535633653760000000$ |
$1.02578$ |
$7.18063$ |
$[1, 1, 1, -129448525, 1352188669635]$ |
\(y^2+xy+y=x^3+x^2-129448525x+1352188669635\) |
440.2.0.? |
$[(12183, 1252308)]$ |
| 15730.y1 |
15730bb1 |
15730.y |
15730bb |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{8} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.126255486$ |
$1$ |
|
$8$ |
$18432$ |
$0.837943$ |
$2248846192681/1300000000$ |
$1.02109$ |
$3.43952$ |
$[1, 1, 1, -1350, 67]$ |
\(y^2+xy+y=x^3+x^2-1350x+67\) |
26.2.0.a.1 |
$[(-13, 131)]$ |
| 15730.z1 |
15730bc1 |
15730.z |
15730bc |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{6} \cdot 11^{8} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.059590317$ |
$1$ |
|
$12$ |
$3991680$ |
$3.458252$ |
$3559589366328163617361/1003976272000000$ |
$1.01444$ |
$7.12044$ |
$[1, 1, 1, -190373235, 1010687759665]$ |
\(y^2+xy+y=x^3+x^2-190373235x+1010687759665\) |
26.2.0.a.1 |
$[(-4427, 1331398)]$ |
| 15730.ba1 |
15730r2 |
15730.ba |
15730r |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 5^{10} \cdot 11^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$10.56683416$ |
$1$ |
|
$0$ |
$1140480$ |
$2.936474$ |
$1411482371105506419/42910156250$ |
$1.12229$ |
$6.55801$ |
$[1, -1, 1, -31104888, 66777512717]$ |
\(y^2+xy+y=x^3-x^2-31104888x+66777512717\) |
2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.? |
$[(218943/2, 101714495/2)]$ |
| 15730.ba2 |
15730r1 |
15730.ba |
15730r |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 5^{5} \cdot 11^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$5.283417084$ |
$1$ |
|
$3$ |
$570240$ |
$2.589897$ |
$-303180038976339/60335112500$ |
$1.05510$ |
$5.71459$ |
$[1, -1, 1, -1862818, 1134913981]$ |
\(y^2+xy+y=x^3-x^2-1862818x+1134913981\) |
2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.? |
$[(-1499, 24357)]$ |
| 15730.bb1 |
15730x3 |
15730.bb |
15730x |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{9} \cdot 5 \cdot 11^{15} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$51480$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$933120$ |
$2.892822$ |
$-89783052551043953401/1020142489034240$ |
$0.98506$ |
$6.24534$ |
$[1, 0, 0, -11287790, 14738590340]$ |
\(y^2+xy=x^3-11287790x+14738590340\) |
3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.1, 99.24.0.?, 117.36.0.?, $\ldots$ |
$[ ]$ |
| 15730.bb2 |
15730x1 |
15730.bb |
15730x |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 5^{9} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$51480$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.794209$ |
$-12814546750201/7261718750$ |
$0.91162$ |
$4.68283$ |
$[1, 0, 0, -58990, -7763150]$ |
\(y^2+xy=x^3-58990x-7763150\) |
3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.2, 99.24.0.?, 117.36.0.?, $\ldots$ |
$[ ]$ |
| 15730.bb3 |
15730x2 |
15730.bb |
15730x |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{9} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$51480$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$2.343513$ |
$6497225437879799/6424482779000$ |
$0.95879$ |
$5.25673$ |
$[1, 0, 0, 470385, 104570225]$ |
\(y^2+xy=x^3+470385x+104570225\) |
3.12.0.a.1, 33.24.0-3.a.1.1, 117.36.0.?, 120.24.0.?, 440.2.0.?, $\ldots$ |
$[ ]$ |
| 15730.bc1 |
15730bd2 |
15730.bc |
15730bd |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{5} \cdot 5^{2} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$4.647541983$ |
$1$ |
|
$0$ |
$115200$ |
$1.659245$ |
$1205943158724121/1258400$ |
$0.93093$ |
$5.08245$ |
$[1, 1, 1, -268320, -53608543]$ |
\(y^2+xy+y=x^3+x^2-268320x-53608543\) |
2.3.0.a.1, 104.6.0.?, 220.6.0.?, 5720.12.0.? |
$[(6049/3, 217183/3)]$ |
