| 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 |
| 6336.a1 |
6336v1 |
6336.a |
6336v |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{7} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$0.559432173$ |
$1$ |
|
$25$ |
$3072$ |
$0.330805$ |
$1906624/33$ |
$0.85378$ |
$3.35507$ |
$[0, 0, 0, -372, 2720]$ |
\(y^2=x^3-372x+2720\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(4, 36), (13, 9)]$ |
| 6336.a2 |
6336v2 |
6336.a |
6336v |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.559432173$ |
$1$ |
|
$27$ |
$6144$ |
$0.677379$ |
$-8/1089$ |
$1.19226$ |
$3.59111$ |
$[0, 0, 0, -12, 7760]$ |
\(y^2=x^3-12x+7760\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(2, 88), (-14, 72)]$ |
| 6336.b1 |
6336e2 |
6336.b |
6336e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.835154165$ |
$1$ |
|
$5$ |
$12288$ |
$1.100336$ |
$19034163/121$ |
$0.94120$ |
$4.46949$ |
$[0, 0, 0, -9612, -360720]$ |
\(y^2=x^3-9612x-360720\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-56, 44)]$ |
| 6336.b2 |
6336e1 |
6336.b |
6336e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.417577082$ |
$1$ |
|
$5$ |
$6144$ |
$0.753763$ |
$19683/11$ |
$1.13667$ |
$3.68422$ |
$[0, 0, 0, -972, 2160]$ |
\(y^2=x^3-972x+2160\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(-2, 64)]$ |
| 6336.c1 |
6336bg3 |
6336.c |
6336bg |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{20} \cdot 3^{7} \cdot 11^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$0.351665763$ |
$1$ |
|
$9$ |
$153600$ |
$2.336880$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.66351$ |
$[0, 0, 0, -5797452, 5372839280]$ |
\(y^2=x^3-5797452x+5372839280\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 40.72.1.t.1, $\ldots$ |
$[(1384, 396)]$ |
| 6336.c2 |
6336bg4 |
6336.c |
6336bg |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{19} \cdot 3^{8} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$0.703331527$ |
$1$ |
|
$9$ |
$307200$ |
$2.683453$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.66399$ |
$[0, 0, 0, -5791692, 5384048240]$ |
\(y^2=x^3-5791692x+5384048240\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 40.72.1.c.2, $\ldots$ |
$[(1213, 11979)]$ |
| 6336.c3 |
6336bg1 |
6336.c |
6336bg |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{28} \cdot 3^{11} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1.758328818$ |
$1$ |
|
$5$ |
$30720$ |
$1.532162$ |
$10091699281/2737152$ |
$1.07340$ |
$4.80961$ |
$[0, 0, 0, -25932, -1171600]$ |
\(y^2=x^3-25932x-1171600\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 40.72.1.t.2, $\ldots$ |
$[(-56, 324)]$ |
| 6336.c4 |
6336bg2 |
6336.c |
6336bg |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{16} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$3.516657637$ |
$1$ |
|
$5$ |
$61440$ |
$1.878735$ |
$168105213359/228637728$ |
$1.10021$ |
$5.16523$ |
$[0, 0, 0, 66228, -7622800]$ |
\(y^2=x^3+66228x-7622800\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 40.72.1.c.1, $\ldots$ |
$[(133, 1881)]$ |
| 6336.d1 |
6336cd3 |
6336.d |
6336cd |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{20} \cdot 3^{7} \cdot 11^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$16.03115914$ |
$1$ |
|
$1$ |
$153600$ |
$2.336880$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.66351$ |
$[0, 0, 0, -5797452, -5372839280]$ |
\(y^2=x^3-5797452x-5372839280\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 40.72.1.t.1, $\ldots$ |
$[(74489106/145, 415304986496/145)]$ |
| 6336.d2 |
6336cd4 |
6336.d |
6336cd |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{19} \cdot 3^{8} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$8.015579573$ |
$1$ |
|
$1$ |
$307200$ |
$2.683453$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.66399$ |
$[0, 0, 0, -5791692, -5384048240]$ |
\(y^2=x^3-5791692x-5384048240\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 30.72.0-10.a.1.1, $\ldots$ |
$[(114914/5, 31896288/5)]$ |
| 6336.d3 |
6336cd1 |
6336.d |
6336cd |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{28} \cdot 3^{11} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$3.206231829$ |
$1$ |
|
$5$ |
$30720$ |
$1.532162$ |
$10091699281/2737152$ |
$1.07340$ |
$4.80961$ |
$[0, 0, 0, -25932, 1171600]$ |
\(y^2=x^3-25932x+1171600\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 40.72.1.t.2, $\ldots$ |
$[(32, 612)]$ |
| 6336.d4 |
6336cd2 |
6336.d |
6336cd |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{16} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1.603115914$ |
$1$ |
|
$7$ |
$61440$ |
$1.878735$ |
$168105213359/228637728$ |
$1.10021$ |
$5.16523$ |
$[0, 0, 0, 66228, 7622800]$ |
\(y^2=x^3+66228x+7622800\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 30.72.0-10.a.2.1, $\ldots$ |
$[(-78, 1408)]$ |
| 6336.e1 |
6336bf1 |
6336.e |
6336bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1.475259320$ |
$1$ |
|
$5$ |
$3072$ |
$0.330805$ |
$1906624/33$ |
$0.85378$ |
$3.35507$ |
$[0, 0, 0, -372, -2720]$ |
\(y^2=x^3-372x-2720\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-12, 4)]$ |
| 6336.e2 |
6336bf2 |
6336.e |
6336bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.737629660$ |
$1$ |
|
$9$ |
$6144$ |
$0.677379$ |
$-8/1089$ |
$1.19226$ |
$3.59111$ |
$[0, 0, 0, -12, -7760]$ |
\(y^2=x^3-12x-7760\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(38, 216)]$ |
| 6336.f1 |
6336bu2 |
6336.f |
6336bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.897108110$ |
$1$ |
|
$9$ |
$12288$ |
$1.100336$ |
$19034163/121$ |
$0.94120$ |
$4.46949$ |
$[0, 0, 0, -9612, 360720]$ |
\(y^2=x^3-9612x+360720\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(82, 352)]$ |
| 6336.f2 |
6336bu1 |
6336.f |
6336bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.794216221$ |
$1$ |
|
$5$ |
$6144$ |
$0.753763$ |
$19683/11$ |
$1.13667$ |
$3.68422$ |
$[0, 0, 0, -972, -2160]$ |
\(y^2=x^3-972x-2160\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(-3, 27)]$ |
| 6336.g1 |
6336be1 |
6336.g |
6336be |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.993563667$ |
$1$ |
|
$2$ |
$960$ |
$-0.223996$ |
$512/11$ |
$0.81074$ |
$2.35045$ |
$[0, 0, 0, 6, -34]$ |
\(y^2=x^3+6x-34\) |
22.2.0.a.1 |
$[(5, 11)]$ |
| 6336.h1 |
6336s1 |
6336.h |
6336s |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1792$ |
$0.266668$ |
$-27648/11$ |
$0.78666$ |
$3.08959$ |
$[0, 0, 0, -144, -864]$ |
\(y^2=x^3-144x-864\) |
22.2.0.a.1 |
$[]$ |
| 6336.i1 |
6336cm2 |
6336.i |
6336cm |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.792892$ |
$-199794688/1331$ |
$0.99506$ |
$4.04615$ |
$[0, 0, 0, -2784, -56864]$ |
\(y^2=x^3-2784x-56864\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.4, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 6336.i2 |
6336cm1 |
6336.i |
6336cm |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.243586$ |
$8192/11$ |
$0.84294$ |
$2.92261$ |
$[0, 0, 0, 96, -416]$ |
\(y^2=x^3+96x-416\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.3, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 6336.j1 |
6336r2 |
6336.j |
6336r |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.792892$ |
$-199794688/1331$ |
$0.99506$ |
$4.04615$ |
$[0, 0, 0, -2784, 56864]$ |
\(y^2=x^3-2784x+56864\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.2, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 6336.j2 |
6336r1 |
6336.j |
6336r |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.243586$ |
$8192/11$ |
$0.84294$ |
$2.92261$ |
$[0, 0, 0, 96, 416]$ |
\(y^2=x^3+96x+416\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.1, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 6336.k1 |
6336cl1 |
6336.k |
6336cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1792$ |
$0.266668$ |
$-27648/11$ |
$0.78666$ |
$3.08959$ |
$[0, 0, 0, -144, 864]$ |
\(y^2=x^3-144x+864\) |
22.2.0.a.1 |
$[]$ |
| 6336.l1 |
6336t1 |
6336.l |
6336t |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$-0.223996$ |
$512/11$ |
$0.81074$ |
$2.35045$ |
$[0, 0, 0, 6, 34]$ |
\(y^2=x^3+6x+34\) |
22.2.0.a.1 |
$[]$ |
| 6336.m1 |
6336bm1 |
6336.m |
6336bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.865240379$ |
$1$ |
|
$19$ |
$1024$ |
$-0.120733$ |
$46656/11$ |
$0.78666$ |
$2.55474$ |
$[0, 0, 0, -36, 64]$ |
\(y^2=x^3-36x+64\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(6, 8), (0, 8)]$ |
| 6336.m2 |
6336bm2 |
6336.m |
6336bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.865240379$ |
$1$ |
|
$21$ |
$2048$ |
$0.225840$ |
$74088/121$ |
$1.03443$ |
$2.91365$ |
$[0, 0, 0, 84, 400]$ |
\(y^2=x^3+84x+400\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(2, 24), (50, 360)]$ |
| 6336.n1 |
6336cc3 |
6336.n |
6336cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1.241450551$ |
$1$ |
|
$7$ |
$24576$ |
$1.576395$ |
$347873904937/395307$ |
$1.00913$ |
$5.21401$ |
$[0, 0, 0, -84396, 9427664]$ |
\(y^2=x^3-84396x+9427664\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[(154, 288)]$ |
| 6336.n2 |
6336cc2 |
6336.n |
6336cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{12} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.482901102$ |
$1$ |
|
$9$ |
$12288$ |
$1.229822$ |
$169112377/88209$ |
$1.00669$ |
$4.34252$ |
$[0, 0, 0, -6636, 65360]$ |
\(y^2=x^3-6636x+65360\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 44.12.0.b.1, $\ldots$ |
$[(-22, 448)]$ |
| 6336.n3 |
6336cc1 |
6336.n |
6336cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1.241450551$ |
$1$ |
|
$5$ |
$6144$ |
$0.883247$ |
$30664297/297$ |
$1.09706$ |
$4.14747$ |
$[0, 0, 0, -3756, -87856]$ |
\(y^2=x^3-3756x-87856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 66.6.0.a.1, $\ldots$ |
$[(-35, 27)]$ |
| 6336.n4 |
6336cc4 |
6336.n |
6336cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$4.965802205$ |
$1$ |
|
$3$ |
$24576$ |
$1.576395$ |
$9090072503/5845851$ |
$1.03763$ |
$4.79766$ |
$[0, 0, 0, 25044, 508880]$ |
\(y^2=x^3+25044x+508880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.10, $\ldots$ |
$[(176, 3220)]$ |
| 6336.o1 |
6336ck4 |
6336.o |
6336ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1.773456009$ |
$1$ |
|
$17$ |
$12288$ |
$1.065201$ |
$37736227588/33$ |
$0.98449$ |
$4.80191$ |
$[0, 0, 0, -25356, 1554064]$ |
\(y^2=x^3-25356x+1554064\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 66.6.0.a.1, $\ldots$ |
$[(90, 32), (96, 68)]$ |
| 6336.o2 |
6336ck3 |
6336.o |
6336ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$0.443364002$ |
$1$ |
|
$31$ |
$12288$ |
$1.065201$ |
$122657188/43923$ |
$0.95383$ |
$4.14747$ |
$[0, 0, 0, -3756, -54704]$ |
\(y^2=x^3-3756x-54704\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(-30, 176), (-19, 99)]$ |
| 6336.o3 |
6336ck2 |
6336.o |
6336ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1.773456009$ |
$1$ |
|
$29$ |
$6144$ |
$0.718627$ |
$37642192/1089$ |
$0.89513$ |
$3.85416$ |
$[0, 0, 0, -1596, 23920]$ |
\(y^2=x^3-1596x+23920\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[(2, 144), (18, 32)]$ |
| 6336.o4 |
6336ck1 |
6336.o |
6336ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1.773456009$ |
$1$ |
|
$15$ |
$3072$ |
$0.372053$ |
$2048/891$ |
$1.09261$ |
$3.17213$ |
$[0, 0, 0, 24, 1240]$ |
\(y^2=x^3+24x+1240\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.2, $\ldots$ |
$[(2, 36), (-7, 27)]$ |
| 6336.p1 |
6336cj1 |
6336.p |
6336cj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.325169$ |
$58411072/3267$ |
$0.96722$ |
$3.27091$ |
$[0, 0, 0, -291, -1816]$ |
\(y^2=x^3-291x-1816\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
| 6336.p2 |
6336cj2 |
6336.p |
6336cj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.671742$ |
$314432/8019$ |
$1.04398$ |
$3.57902$ |
$[0, 0, 0, 204, -7360]$ |
\(y^2=x^3+204x-7360\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
| 6336.q1 |
6336bl1 |
6336.q |
6336bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.733468$ |
$150229394496/1331$ |
$1.15408$ |
$4.26651$ |
$[0, 0, 0, -5316, -149184]$ |
\(y^2=x^3-5316x-149184\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cm.1, $\ldots$ |
$[]$ |
| 6336.q2 |
6336bl2 |
6336.q |
6336bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.080042$ |
$-17535471192/1771561$ |
$1.06513$ |
$4.27707$ |
$[0, 0, 0, -5196, -156240]$ |
\(y^2=x^3-5196x-156240\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cg.1, $\ldots$ |
$[]$ |
| 6336.r1 |
6336p3 |
6336.r |
6336p |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.081100$ |
$649461896/72171$ |
$0.94560$ |
$4.25868$ |
$[0, 0, 0, -5196, 129584]$ |
\(y^2=x^3-5196x+129584\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[]$ |
| 6336.r2 |
6336p2 |
6336.r |
6336p |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.734527$ |
$69934528/9801$ |
$0.93038$ |
$3.76656$ |
$[0, 0, 0, -1236, -14560]$ |
\(y^2=x^3-1236x-14560\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 44.12.0.a.1, $\ldots$ |
$[]$ |
| 6336.r3 |
6336p1 |
6336.r |
6336p |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2048$ |
$0.387953$ |
$4004529472/99$ |
$0.97266$ |
$3.75385$ |
$[0, 0, 0, -1191, -15820]$ |
\(y^2=x^3-1191x-15820\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 44.12.0.h.1, $\ldots$ |
$[]$ |
| 6336.r4 |
6336p4 |
6336.r |
6336p |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.081100$ |
$37259704/131769$ |
$0.96426$ |
$4.11854$ |
$[0, 0, 0, 2004, -78064]$ |
\(y^2=x^3+2004x-78064\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[]$ |
| 6336.s1 |
6336bs1 |
6336.s |
6336bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$0.359846157$ |
$1$ |
|
$9$ |
$3072$ |
$0.733468$ |
$150229394496/1331$ |
$1.15408$ |
$4.26651$ |
$[0, 0, 0, -5316, 149184]$ |
\(y^2=x^3-5316x+149184\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cm.1, $\ldots$ |
$[(34, 88)]$ |
| 6336.s2 |
6336bs2 |
6336.s |
6336bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$0.719692315$ |
$1$ |
|
$7$ |
$6144$ |
$1.080042$ |
$-17535471192/1771561$ |
$1.06513$ |
$4.27707$ |
$[0, 0, 0, -5196, 156240]$ |
\(y^2=x^3-5196x+156240\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cg.1, $\ldots$ |
$[(37, 121)]$ |
| 6336.t1 |
6336bc3 |
6336.t |
6336bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{14} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$3.232010604$ |
$1$ |
|
$3$ |
$8192$ |
$1.081100$ |
$649461896/72171$ |
$0.94560$ |
$4.25868$ |
$[0, 0, 0, -5196, -129584]$ |
\(y^2=x^3-5196x-129584\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$ |
$[(-36, 104)]$ |
| 6336.t2 |
6336bc2 |
6336.t |
6336bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1.616005302$ |
$1$ |
|
$9$ |
$4096$ |
$0.734527$ |
$69934528/9801$ |
$0.93038$ |
$3.76656$ |
$[0, 0, 0, -1236, 14560]$ |
\(y^2=x^3-1236x+14560\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 44.12.0.a.1, $\ldots$ |
$[(8, 72)]$ |
| 6336.t3 |
6336bc1 |
6336.t |
6336bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$3.232010604$ |
$1$ |
|
$3$ |
$2048$ |
$0.387953$ |
$4004529472/99$ |
$0.97266$ |
$3.75385$ |
$[0, 0, 0, -1191, 15820]$ |
\(y^2=x^3-1191x+15820\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 44.12.0.h.1, $\ldots$ |
$[(36, 140)]$ |
| 6336.t4 |
6336bc4 |
6336.t |
6336bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$0.808002651$ |
$1$ |
|
$9$ |
$8192$ |
$1.081100$ |
$37259704/131769$ |
$0.96426$ |
$4.11854$ |
$[0, 0, 0, 2004, 78064]$ |
\(y^2=x^3+2004x+78064\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[(5, 297)]$ |
| 6336.u1 |
6336cb1 |
6336.u |
6336cb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.048722392$ |
$1$ |
|
$3$ |
$1536$ |
$0.325169$ |
$58411072/3267$ |
$0.96722$ |
$3.27091$ |
$[0, 0, 0, -291, 1816]$ |
\(y^2=x^3-291x+1816\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(-4, 54)]$ |
| 6336.u2 |
6336cb2 |
6336.u |
6336cb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.097444785$ |
$1$ |
|
$3$ |
$3072$ |
$0.671742$ |
$314432/8019$ |
$1.04398$ |
$3.57902$ |
$[0, 0, 0, 204, 7360]$ |
\(y^2=x^3+204x+7360\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(32, 216)]$ |
