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 |
15600.a1 |
15600g1 |
15600.a |
15600g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.492881874$ |
$1$ |
|
$4$ |
$23040$ |
$0.860468$ |
$-17790954496/195$ |
$0.91521$ |
$4.01902$ |
$[0, -1, 0, -8633, 311637]$ |
\(y^2=x^3-x^2-8633x+311637\) |
390.2.0.? |
$[(52, 25)]$ |
15600.b1 |
15600be4 |
15600.b |
15600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.336483428$ |
$1$ |
|
$21$ |
$32768$ |
$1.179501$ |
$37159393753/1053$ |
$1.11616$ |
$4.38247$ |
$[0, -1, 0, -27808, 1794112]$ |
\(y^2=x^3-x^2-27808x+1794112\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 26.6.0.b.1, $\ldots$ |
$[(72, 400), (96, 8)]$ |
15600.b2 |
15600be3 |
15600.b |
15600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$5.345933715$ |
$1$ |
|
$11$ |
$32768$ |
$1.179501$ |
$822656953/85683$ |
$0.96086$ |
$3.98781$ |
$[0, -1, 0, -7808, -237888]$ |
\(y^2=x^3-x^2-7808x-237888\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-38, 50), (162, 1650)]$ |
15600.b3 |
15600be2 |
15600.b |
15600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1.336483428$ |
$1$ |
|
$33$ |
$16384$ |
$0.832926$ |
$10218313/1521$ |
$0.91403$ |
$3.53330$ |
$[0, -1, 0, -1808, 26112]$ |
\(y^2=x^3-x^2-1808x+26112\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[(2, 150), (42, 150)]$ |
15600.b4 |
15600be1 |
15600.b |
15600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.336483428$ |
$1$ |
|
$19$ |
$8192$ |
$0.486352$ |
$12167/39$ |
$0.85844$ |
$2.99259$ |
$[0, -1, 0, 192, 2112]$ |
\(y^2=x^3-x^2+192x+2112\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[(2, 50), (8, 64)]$ |
15600.c1 |
15600j1 |
15600.c |
15600j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.127545$ |
$256000/117$ |
$0.88864$ |
$2.57712$ |
$[0, -1, 0, -83, 162]$ |
\(y^2=x^3-x^2-83x+162\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
15600.c2 |
15600j2 |
15600.c |
15600j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.474118$ |
$686000/507$ |
$0.86569$ |
$2.96638$ |
$[0, -1, 0, 292, 912]$ |
\(y^2=x^3-x^2+292x+912\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
15600.d1 |
15600bm2 |
15600.d |
15600bm |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$260$ |
$48$ |
$1$ |
$6.766345226$ |
$1$ |
|
$0$ |
$4032000$ |
$3.641876$ |
$-134057911417971280740025/1872$ |
$1.08082$ |
$8.04397$ |
$[0, -1, 0, -3646500208, 84755659198912]$ |
\(y^2=x^3-x^2-3646500208x+84755659198912\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 52.2.0.a.1, 130.24.0.?, 260.48.1.? |
$[(871354/5, 412158/5)]$ |
15600.d2 |
15600bm1 |
15600.d |
15600bm |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{32} \cdot 3^{10} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$260$ |
$48$ |
$1$ |
$1.353269045$ |
$1$ |
|
$4$ |
$806400$ |
$2.837158$ |
$-198417696411528597145/22989483914821632$ |
$1.05512$ |
$6.05447$ |
$[0, -1, 0, -5684848, 5717413312]$ |
\(y^2=x^3-x^2-5684848x+5717413312\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 52.2.0.a.1, 130.24.0.?, 260.48.1.? |
$[(-182, 82134)]$ |
15600.e1 |
15600bj2 |
15600.e |
15600bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.689013602$ |
$1$ |
|
$9$ |
$92160$ |
$1.749702$ |
$68523370149961/243360$ |
$0.97981$ |
$5.16131$ |
$[0, -1, 0, -341008, 76760512]$ |
\(y^2=x^3-x^2-341008x+76760512\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(312, 800)]$ |
15600.e2 |
15600bj1 |
15600.e |
15600bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{22} \cdot 3 \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.378027205$ |
$1$ |
|
$7$ |
$46080$ |
$1.403128$ |
$-16022066761/998400$ |
$0.92192$ |
$4.30593$ |
$[0, -1, 0, -21008, 1240512]$ |
\(y^2=x^3-x^2-21008x+1240512\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(82, 250)]$ |
15600.f1 |
15600bs2 |
15600.f |
15600bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{9} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1.326268751$ |
$1$ |
|
$7$ |
$92160$ |
$1.801731$ |
$3659383421/2056392$ |
$1.01287$ |
$4.64248$ |
$[0, -1, 0, -64208, 1086912]$ |
\(y^2=x^3-x^2-64208x+1086912\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(392, 6000)]$ |
15600.f2 |
15600bs1 |
15600.f |
15600bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{18} \cdot 3 \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$2.652537503$ |
$1$ |
|
$5$ |
$46080$ |
$1.455156$ |
$54439939/32448$ |
$0.97759$ |
$4.20665$ |
$[0, -1, 0, 15792, 126912]$ |
\(y^2=x^3-x^2+15792x+126912\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(56, 1088)]$ |
15600.g1 |
15600bi1 |
15600.g |
15600bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$5.941333236$ |
$1$ |
|
$1$ |
$9216$ |
$0.749562$ |
$8077950976/26325$ |
$0.94883$ |
$3.65008$ |
$[0, -1, 0, -2633, -50988]$ |
\(y^2=x^3-x^2-2633x-50988\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$ |
$[(-764/5, 184/5)]$ |
15600.g2 |
15600bi2 |
15600.g |
15600bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$2.970666618$ |
$1$ |
|
$3$ |
$18432$ |
$1.096136$ |
$-94875856/950625$ |
$0.90630$ |
$3.77809$ |
$[0, -1, 0, -1508, -95988]$ |
\(y^2=x^3-x^2-1508x-95988\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 120.12.0.?, 312.24.0.?, $\ldots$ |
$[(137, 1500)]$ |
15600.h1 |
15600ba2 |
15600.h |
15600ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.512193$ |
$3631696/507$ |
$0.85077$ |
$3.13899$ |
$[0, -1, 0, -508, 4012]$ |
\(y^2=x^3-x^2-508x+4012\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
15600.h2 |
15600ba1 |
15600.h |
15600ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.165619$ |
$1048576/117$ |
$1.06619$ |
$2.72316$ |
$[0, -1, 0, -133, -488]$ |
\(y^2=x^3-x^2-133x-488\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
15600.i1 |
15600k1 |
15600.i |
15600k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19712$ |
$0.955935$ |
$-789601498112/2302911$ |
$0.98466$ |
$3.91230$ |
$[0, -1, 0, -6113, -182403]$ |
\(y^2=x^3-x^2-6113x-182403\) |
390.2.0.? |
$[]$ |
15600.j1 |
15600br1 |
15600.j |
15600br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.923696715$ |
$1$ |
|
$4$ |
$23040$ |
$1.073683$ |
$34295/1872$ |
$0.91399$ |
$3.74645$ |
$[0, -1, 0, 792, -83088]$ |
\(y^2=x^3-x^2+792x-83088\) |
52.2.0.a.1 |
$[(42, 150)]$ |
15600.k1 |
15600bg1 |
15600.k |
15600bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{20} \cdot 3^{6} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$4.725426897$ |
$1$ |
|
$2$ |
$27648$ |
$1.107227$ |
$-2488672890625/2426112$ |
$1.09798$ |
$4.15132$ |
$[0, -1, 0, -13208, -580368]$ |
\(y^2=x^3-x^2-13208x-580368\) |
52.2.0.a.1 |
$[(1106, 36558)]$ |
15600.l1 |
15600y1 |
15600.l |
15600y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{35} \cdot 3^{7} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92736$ |
$1.893366$ |
$-3214683778008145/238496514048$ |
$1.01651$ |
$4.90561$ |
$[0, -1, 0, -143848, 22352752]$ |
\(y^2=x^3-x^2-143848x+22352752\) |
312.2.0.? |
$[]$ |
15600.m1 |
15600d3 |
15600.m |
15600d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$3.946512375$ |
$1$ |
|
$3$ |
$73728$ |
$1.672375$ |
$10625310339698/3855735$ |
$1.18546$ |
$4.89647$ |
$[0, -1, 0, -145408, -21286688]$ |
\(y^2=x^3-x^2-145408x-21286688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(453, 2366)]$ |
15600.m2 |
15600d4 |
15600.m |
15600d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$3.946512375$ |
$1$ |
|
$3$ |
$73728$ |
$1.672375$ |
$1481943889298/34543665$ |
$0.95159$ |
$4.69244$ |
$[0, -1, 0, -75408, 7833312]$ |
\(y^2=x^3-x^2-75408x+7833312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[(277, 2850)]$ |
15600.m3 |
15600d2 |
15600.m |
15600d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1.973256187$ |
$1$ |
|
$9$ |
$36864$ |
$1.325802$ |
$7793764996/3080025$ |
$0.92131$ |
$4.07712$ |
$[0, -1, 0, -10408, -226688]$ |
\(y^2=x^3-x^2-10408x-226688\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[(-48, 400)]$ |
15600.m4 |
15600d1 |
15600.m |
15600d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$3.946512375$ |
$1$ |
|
$3$ |
$18432$ |
$0.979228$ |
$253012016/219375$ |
$0.87387$ |
$3.57852$ |
$[0, -1, 0, 2092, -26688]$ |
\(y^2=x^3-x^2+2092x-26688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 78.6.0.?, $\ldots$ |
$[(76, 752)]$ |
15600.n1 |
15600z5 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{8} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.261940$ |
$81025909800741361/11088090$ |
$1.01361$ |
$5.89413$ |
$[0, -1, 0, -3606008, 2636854512]$ |
\(y^2=x^3-x^2-3606008x+2636854512\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 20.12.0-4.c.1.2, 40.48.0-40.bp.1.8, $\ldots$ |
$[]$ |
15600.n2 |
15600z3 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3 \cdot 5^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$1.915365$ |
$66730743078481/60937500$ |
$0.97968$ |
$5.15857$ |
$[0, -1, 0, -338008, -75465488]$ |
\(y^2=x^3-x^2-338008x-75465488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
15600.n3 |
15600z4 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.915365$ |
$19948814692561/231344100$ |
$0.97293$ |
$5.03350$ |
$[0, -1, 0, -226008, 41014512]$ |
\(y^2=x^3-x^2-226008x+41014512\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 20.24.0-4.b.1.3, 24.48.0-24.h.2.26, $\ldots$ |
$[]$ |
15600.n4 |
15600z6 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{7} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.261940$ |
$-168288035761/73415764890$ |
$1.05371$ |
$5.22524$ |
$[0, -1, 0, -46008, 104374512]$ |
\(y^2=x^3-x^2-46008x+104374512\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 20.12.0-4.c.1.2, 24.48.0-24.by.2.16, $\ldots$ |
$[]$ |
15600.n5 |
15600z2 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.568792$ |
$30400540561/15210000$ |
$0.96238$ |
$4.36168$ |
$[0, -1, 0, -26008, -585488]$ |
\(y^2=x^3-x^2-26008x-585488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 20.24.0-4.b.1.1, 24.48.0-24.h.1.23, $\ldots$ |
$[]$ |
15600.n6 |
15600z1 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{20} \cdot 3 \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.222219$ |
$371694959/249600$ |
$0.92494$ |
$3.90553$ |
$[0, -1, 0, 5992, -73488]$ |
\(y^2=x^3-x^2+5992x-73488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
15600.o1 |
15600a3 |
15600.o |
15600a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$8.985963422$ |
$1$ |
|
$1$ |
$73728$ |
$1.816235$ |
$49235161015876/137109375$ |
$0.96975$ |
$4.98349$ |
$[0, -1, 0, -192408, -32342688]$ |
\(y^2=x^3-x^2-192408x-32342688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[(-16711/8, 83699/8)]$ |
15600.o2 |
15600a4 |
15600.o |
15600a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$2.246490855$ |
$1$ |
|
$7$ |
$73728$ |
$1.816235$ |
$39914580075556/172718325$ |
$0.96849$ |
$4.96175$ |
$[0, -1, 0, -179408, 29199312]$ |
\(y^2=x^3-x^2-179408x+29199312\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 26.6.0.b.1, $\ldots$ |
$[(232, 100)]$ |
15600.o3 |
15600a2 |
15600.o |
15600a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$4.492981711$ |
$1$ |
|
$7$ |
$36864$ |
$1.469662$ |
$133649126224/77000625$ |
$1.02472$ |
$4.22788$ |
$[0, -1, 0, -16908, -50688]$ |
\(y^2=x^3-x^2-16908x-50688\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.2, $\ldots$ |
$[(-124, 352)]$ |
15600.o4 |
15600a1 |
15600.o |
15600a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$8.985963422$ |
$1$ |
|
$1$ |
$18432$ |
$1.123089$ |
$33165879296/19278675$ |
$1.18904$ |
$3.79637$ |
$[0, -1, 0, 4217, -8438]$ |
\(y^2=x^3-x^2+4217x-8438\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(498/11, 126064/11)]$ |
15600.p1 |
15600bf3 |
15600.p |
15600bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{7} \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$0.944760928$ |
$1$ |
|
$11$ |
$73728$ |
$1.724899$ |
$12501706118329/2570490$ |
$0.96978$ |
$4.98510$ |
$[0, -1, 0, -193408, 32797312]$ |
\(y^2=x^3-x^2-193408x+32797312\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 104.24.0.?, 520.48.0.? |
$[(232, 600)]$ |
15600.p2 |
15600bf2 |
15600.p |
15600bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1.889521857$ |
$1$ |
|
$9$ |
$36864$ |
$1.378325$ |
$4165509529/1368900$ |
$0.92273$ |
$4.15581$ |
$[0, -1, 0, -13408, 397312]$ |
\(y^2=x^3-x^2-13408x+397312\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(16, 432)]$ |
15600.p3 |
15600bf1 |
15600.p |
15600bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$0.944760928$ |
$1$ |
|
$7$ |
$18432$ |
$1.031752$ |
$273359449/9360$ |
$0.87806$ |
$3.87370$ |
$[0, -1, 0, -5408, -146688]$ |
\(y^2=x^3-x^2-5408x-146688\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[(-38, 50)]$ |
15600.p4 |
15600bf4 |
15600.p |
15600bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$3.779043714$ |
$1$ |
|
$3$ |
$73728$ |
$1.724899$ |
$99317171591/106616250$ |
$1.03579$ |
$4.48429$ |
$[0, -1, 0, 38592, 2685312]$ |
\(y^2=x^3-x^2+38592x+2685312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 104.24.0.?, $\ldots$ |
$[(666, 17982)]$ |
15600.q1 |
15600h1 |
15600.q |
15600h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$38400$ |
$1.341105$ |
$1909913257984/129730653$ |
$1.03790$ |
$4.21618$ |
$[0, -1, 0, -16283, -745938]$ |
\(y^2=x^3-x^2-16283x-745938\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
15600.q2 |
15600h2 |
15600.q |
15600h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$1.687677$ |
$77366117936/1172914587$ |
$1.04122$ |
$4.50546$ |
$[0, -1, 0, 14092, -3236688]$ |
\(y^2=x^3-x^2+14092x-3236688\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
15600.r1 |
15600c1 |
15600.r |
15600c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$3.671566471$ |
$1$ |
|
$2$ |
$31680$ |
$1.171762$ |
$-781250/351$ |
$1.25172$ |
$3.92150$ |
$[0, -1, 0, -5208, -191088]$ |
\(y^2=x^3-x^2-5208x-191088\) |
312.2.0.? |
$[(88, 156)]$ |
15600.s1 |
15600b3 |
15600.s |
15600b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$3120$ |
$192$ |
$1$ |
$41.15620578$ |
$1$ |
|
$1$ |
$737280$ |
$2.722290$ |
$1556580279686303289604/114075$ |
$1.04256$ |
$6.77211$ |
$[0, -1, 0, -60840008, -182634907488]$ |
\(y^2=x^3-x^2-60840008x-182634907488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.f.1, $\ldots$ |
$[(3491528486975074357/7429741, 6471919390210784399403833050/7429741)]$ |
15600.s2 |
15600b5 |
15600.s |
15600b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{22} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$3120$ |
$192$ |
$1$ |
$5.144525722$ |
$1$ |
|
$3$ |
$1474560$ |
$3.068863$ |
$8248670337458940482/1446075439453125$ |
$1.08352$ |
$6.30116$ |
$[0, -1, 0, -13364008, 15704090512]$ |
\(y^2=x^3-x^2-13364008x+15704090512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 20.12.0-4.c.1.2, $\ldots$ |
$[(1096, 48708)]$ |
15600.s3 |
15600b4 |
15600.s |
15600b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{14} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$10.28905144$ |
$1$ |
|
$3$ |
$737280$ |
$2.722290$ |
$405929061432816484/35083409765625$ |
$1.07074$ |
$5.91744$ |
$[0, -1, 0, -3887008, -2719197488]$ |
\(y^2=x^3-x^2-3887008x-2719197488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0-4.b.1.3, 24.48.0.t.1, $\ldots$ |
$[(924702/11, 856237850/11)]$ |
15600.s4 |
15600b2 |
15600.s |
15600b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$1560$ |
$192$ |
$1$ |
$20.57810289$ |
$1$ |
|
$3$ |
$368640$ |
$2.375717$ |
$1520107298839022416/13013105625$ |
$1.01425$ |
$5.91061$ |
$[0, -1, 0, -3802508, -2852707488]$ |
\(y^2=x^3-x^2-3802508x-2852707488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0.c.1, 20.24.0-4.b.1.1, $\ldots$ |
$[(-14956471364/3649, 3150150746072/3649)]$ |
15600.s5 |
15600b1 |
15600.s |
15600b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$3120$ |
$192$ |
$1$ |
$41.15620578$ |
$1$ |
|
$1$ |
$184320$ |
$2.029144$ |
$-5551350318708736/550618236675$ |
$1.01951$ |
$5.05853$ |
$[0, -1, 0, -232383, -46589238]$ |
\(y^2=x^3-x^2-232383x-46589238\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(734883843263604098/6827279, 629663582763707177687408924/6827279)]$ |
15600.s6 |
15600b6 |
15600.s |
15600b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{24} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$3120$ |
$192$ |
$1$ |
$20.57810289$ |
$1$ |
|
$1$ |
$1474560$ |
$3.068863$ |
$263059523447441758/2294739983908125$ |
$1.04969$ |
$6.21818$ |
$[0, -1, 0, 4237992, -12599197488]$ |
\(y^2=x^3-x^2+4237992x-12599197488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 20.12.0-4.c.1.2, 40.48.0-8.ba.2.3, $\ldots$ |
$[(7141552042/979, 617164980939150/979)]$ |
15600.t1 |
15600bo2 |
15600.t |
15600bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.313084077$ |
$1$ |
|
$7$ |
$12288$ |
$0.680396$ |
$248858189/27378$ |
$0.91336$ |
$3.36389$ |
$[0, -1, 0, -1048, -11408]$ |
\(y^2=x^3-x^2-1048x-11408\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-14, 18)]$ |
15600.t2 |
15600bo1 |
15600.t |
15600bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$0.656542038$ |
$1$ |
|
$9$ |
$6144$ |
$0.333822$ |
$3307949/468$ |
$0.85630$ |
$2.91640$ |
$[0, -1, 0, -248, 1392]$ |
\(y^2=x^3-x^2-248x+1392\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(2, 30)]$ |