| 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 |
| 12936.a1 |
12936f1 |
12936.a |
12936f |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$120960$ |
$1.733667$ |
$55635379958596/24057$ |
$1.02905$ |
$5.30820$ |
$[0, -1, 0, -392800, 94886716]$ |
\(y^2=x^3-x^2-392800x+94886716\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 12936.a2 |
12936f2 |
12936.a |
12936f |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{14} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$241920$ |
$2.080242$ |
$-27403349188178/578739249$ |
$1.02957$ |
$5.31040$ |
$[0, -1, 0, -390840, 95878476]$ |
\(y^2=x^3-x^2-390840x+95878476\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 12936.b1 |
12936o1 |
12936.b |
12936o |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.052886838$ |
$1$ |
|
$4$ |
$21504$ |
$1.070009$ |
$-1755904/3993$ |
$0.84305$ |
$3.82978$ |
$[0, -1, 0, -2172, 87249]$ |
\(y^2=x^3-x^2-2172x+87249\) |
462.2.0.? |
$[(-16, 343)]$ |
| 12936.c1 |
12936v1 |
12936.c |
12936v |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$1.461824$ |
$-93303976999933696/2910897$ |
$1.09622$ |
$5.03656$ |
$[0, -1, 0, -166672, -26134919]$ |
\(y^2=x^3-x^2-166672x-26134919\) |
462.2.0.? |
$[]$ |
| 12936.d1 |
12936t4 |
12936.d |
12936t |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{10} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$5.983303220$ |
$1$ |
|
$9$ |
$196608$ |
$2.134876$ |
$2970658109581346/2139291$ |
$1.06890$ |
$5.80154$ |
$[0, -1, 0, -1863584, 979821228]$ |
\(y^2=x^3-x^2-1863584x+979821228\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[(-583, 43218), (677, 5292)]$ |
| 12936.d2 |
12936t3 |
12936.d |
12936t |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{16} \cdot 7^{7} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$23.93321288$ |
$1$ |
|
$3$ |
$196608$ |
$2.134876$ |
$8849350367426/3314597517$ |
$0.97451$ |
$5.18722$ |
$[0, -1, 0, -268144, -31653236]$ |
\(y^2=x^3-x^2-268144x-31653236\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.? |
$[(-247, 4410), (-547/2, 12495/2)]$ |
| 12936.d3 |
12936t2 |
12936.d |
12936t |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 7^{8} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$5.983303220$ |
$1$ |
|
$17$ |
$98304$ |
$1.788303$ |
$1478729816932/38900169$ |
$1.03465$ |
$4.92504$ |
$[0, -1, 0, -117224, 15131964]$ |
\(y^2=x^3-x^2-117224x+15131964\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 88.24.0.?, 616.48.0.? |
$[(254, 1296), (-2, 3920)]$ |
| 12936.d4 |
12936t1 |
12936.d |
12936t |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{7} \cdot 11^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$1.495825805$ |
$1$ |
|
$35$ |
$49152$ |
$1.441730$ |
$9148592/8301447$ |
$0.98816$ |
$4.28894$ |
$[0, -1, 0, 1356, 760068]$ |
\(y^2=x^3-x^2+1356x+760068\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 88.24.0.?, $\ldots$ |
$[(12, 882), (-42, 792)]$ |
| 12936.e1 |
12936b1 |
12936.e |
12936b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7^{15} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.721399$ |
$-31636584484096/1331669031$ |
$0.95912$ |
$4.81672$ |
$[0, -1, 0, -81356, -9223731]$ |
\(y^2=x^3-x^2-81356x-9223731\) |
462.2.0.? |
$[]$ |
| 12936.f1 |
12936m1 |
12936.f |
12936m |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7^{7} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.709059962$ |
$1$ |
|
$4$ |
$4608$ |
$0.336568$ |
$-256/231$ |
$0.83188$ |
$2.88831$ |
$[0, -1, 0, -16, 1009]$ |
\(y^2=x^3-x^2-16x+1009\) |
462.2.0.? |
$[(12, 49)]$ |
| 12936.g1 |
12936p1 |
12936.g |
12936p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.533511$ |
$62500/33$ |
$1.02621$ |
$3.13166$ |
$[0, -1, 0, -408, -804]$ |
\(y^2=x^3-x^2-408x-804\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 12936.g2 |
12936p2 |
12936.g |
12936p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.880085$ |
$1714750/1089$ |
$1.18812$ |
$3.55468$ |
$[0, -1, 0, 1552, -7860]$ |
\(y^2=x^3-x^2+1552x-7860\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 12936.h1 |
12936a1 |
12936.h |
12936a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{11} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.174582$ |
$-1235663104/4991679$ |
$1.04005$ |
$3.95657$ |
$[0, -1, 0, -2760, -156771]$ |
\(y^2=x^3-x^2-2760x-156771\) |
462.2.0.? |
$[]$ |
| 12936.i1 |
12936q1 |
12936.i |
12936q |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.403666$ |
$369381632/216513$ |
$1.00539$ |
$4.22625$ |
$[0, -1, 0, 12920, 59809]$ |
\(y^2=x^3-x^2+12920x+59809\) |
462.2.0.? |
$[]$ |
| 12936.j1 |
12936g1 |
12936.j |
12936g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.769056198$ |
$1$ |
|
$6$ |
$32256$ |
$1.286421$ |
$575511296/20376279$ |
$0.95539$ |
$4.08926$ |
$[0, -1, 0, 2140, 294813]$ |
\(y^2=x^3-x^2+2140x+294813\) |
462.2.0.? |
$[(-2, 539)]$ |
| 12936.k1 |
12936r1 |
12936.k |
12936r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$30912$ |
$1.227522$ |
$-98/33$ |
$1.17922$ |
$4.01749$ |
$[0, -1, 0, -800, -210132]$ |
\(y^2=x^3-x^2-800x-210132\) |
264.2.0.? |
$[]$ |
| 12936.l1 |
12936c3 |
12936.l |
12936c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$27648$ |
$1.142275$ |
$37736227588/33$ |
$0.98449$ |
$4.53759$ |
$[0, -1, 0, -34512, -2456292]$ |
\(y^2=x^3-x^2-34512x-2456292\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 12936.l2 |
12936c4 |
12936.l |
12936c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.142275$ |
$122657188/43923$ |
$0.95383$ |
$3.93248$ |
$[0, -1, 0, -5112, 88572]$ |
\(y^2=x^3-x^2-5112x+88572\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 12936.l3 |
12936c2 |
12936.l |
12936c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$13824$ |
$0.795702$ |
$37642192/1089$ |
$0.89513$ |
$3.66129$ |
$[0, -1, 0, -2172, -37260]$ |
\(y^2=x^3-x^2-2172x-37260\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 12936.l4 |
12936c1 |
12936.l |
12936c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.449129$ |
$2048/891$ |
$1.09261$ |
$3.03068$ |
$[0, -1, 0, 33, -1980]$ |
\(y^2=x^3-x^2+33x-1980\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 12936.m1 |
12936n5 |
12936.m |
12936n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{14} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.214 |
2B |
$1232$ |
$192$ |
$1$ |
$4.269361394$ |
$1$ |
|
$3$ |
$294912$ |
$2.403259$ |
$5701568801608514/6277868289$ |
$0.99431$ |
$5.87040$ |
$[0, -1, 0, -2315952, 1356051852]$ |
\(y^2=x^3-x^2-2315952x+1356051852\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0-8.r.1.4, 28.12.0-4.c.1.1, $\ldots$ |
$[(453, 19992)]$ |
| 12936.m2 |
12936n3 |
12936.m |
12936n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{10} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.102 |
2Cs |
$616$ |
$192$ |
$1$ |
$8.538722789$ |
$1$ |
|
$3$ |
$147456$ |
$2.056686$ |
$5489767279588/2847396321$ |
$0.98782$ |
$5.06358$ |
$[0, -1, 0, -181512, 9647100]$ |
\(y^2=x^3-x^2-181512x+9647100\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.c.1.8, 28.24.0-4.b.1.1, 56.96.0-56.e.2.4, $\ldots$ |
$[(12249/16, 4235805/16)]$ |
| 12936.m3 |
12936n2 |
12936.m |
12936n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.103 |
2Cs |
$616$ |
$192$ |
$1$ |
$4.269361394$ |
$1$ |
|
$7$ |
$73728$ |
$1.710112$ |
$3911877700432/38900169$ |
$1.03181$ |
$4.88137$ |
$[0, -1, 0, -102132, -12420540]$ |
\(y^2=x^3-x^2-102132x-12420540\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.h.1.8, 28.24.0-4.b.1.3, 44.24.0-4.b.1.2, $\ldots$ |
$[(380, 1870)]$ |
| 12936.m4 |
12936n1 |
12936.m |
12936n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.161 |
2B |
$1232$ |
$192$ |
$1$ |
$8.538722789$ |
$1$ |
|
$3$ |
$36864$ |
$1.363539$ |
$62140690757632/6237$ |
$0.98642$ |
$4.88061$ |
$[0, -1, 0, -101887, -12483848]$ |
\(y^2=x^3-x^2-101887x-12483848\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.h.1.5, 28.12.0-4.c.1.2, $\ldots$ |
$[(7041, 590155)]$ |
| 12936.m5 |
12936n4 |
12936.m |
12936n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{16} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.175 |
2B |
$1232$ |
$192$ |
$1$ |
$8.538722789$ |
$1$ |
|
$1$ |
$147456$ |
$2.056686$ |
$-17418812548/3314597517$ |
$1.01681$ |
$5.06838$ |
$[0, -1, 0, -26672, -30440388]$ |
\(y^2=x^3-x^2-26672x-30440388\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.h.1.13, 28.12.0-4.c.1.2, $\ldots$ |
$[(8814/5, 245412/5)]$ |
| 12936.m6 |
12936n6 |
12936.m |
12936n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 7^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.232 |
2B |
$1232$ |
$192$ |
$1$ |
$17.07744557$ |
$1$ |
|
$1$ |
$294912$ |
$2.403259$ |
$146142660369886/94532266521$ |
$1.01155$ |
$5.48341$ |
$[0, -1, 0, 682848, 74301228]$ |
\(y^2=x^3-x^2+682848x+74301228\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.k.1.4, 28.12.0-4.c.1.1, 56.96.0-56.bc.2.5, $\ldots$ |
$[(180137009/80, 2418714028073/80)]$ |
| 12936.n1 |
12936s2 |
12936.n |
12936s |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$71680$ |
$1.669874$ |
$5476248398/891$ |
$1.10218$ |
$5.02352$ |
$[0, -1, 0, -159952, 24672460]$ |
\(y^2=x^3-x^2-159952x+24672460\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 12936.n2 |
12936s1 |
12936.n |
12936s |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35840$ |
$1.323301$ |
$-1972156/1089$ |
$0.95185$ |
$4.18359$ |
$[0, -1, 0, -9032, 464892]$ |
\(y^2=x^3-x^2-9032x+464892\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 12936.o1 |
12936u1 |
12936.o |
12936u |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.210232$ |
$-12967168/8251551$ |
$0.99302$ |
$3.99562$ |
$[0, -1, 0, -604, -189503]$ |
\(y^2=x^3-x^2-604x-189503\) |
462.2.0.? |
$[]$ |
| 12936.p1 |
12936d2 |
12936.p |
12936d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$368640$ |
$2.342747$ |
$9791533777258802/427901859$ |
$0.99685$ |
$5.92752$ |
$[0, -1, 0, -2773416, 1778607468]$ |
\(y^2=x^3-x^2-2773416x+1778607468\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 12936.p2 |
12936d1 |
12936.p |
12936d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.996172$ |
$-4097989445764/1004475087$ |
$0.95402$ |
$5.07000$ |
$[0, -1, 0, -164656, 30738268]$ |
\(y^2=x^3-x^2-164656x+30738268\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 12936.q1 |
12936e1 |
12936.q |
12936e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$278208$ |
$2.061073$ |
$-37811178496/2381643$ |
$1.07690$ |
$5.22441$ |
$[0, -1, 0, -291321, -63632547]$ |
\(y^2=x^3-x^2-291321x-63632547\) |
6.2.0.a.1 |
$[]$ |
| 12936.r1 |
12936h1 |
12936.r |
12936h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{4} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.034280057$ |
$1$ |
|
$48$ |
$39744$ |
$1.088118$ |
$-37811178496/2381643$ |
$1.07690$ |
$3.99123$ |
$[0, 1, 0, -5945, 183819]$ |
\(y^2=x^3+x^2-5945x+183819\) |
6.2.0.a.1 |
$[(79, 462), (541, 12474)]$ |
| 12936.s1 |
12936ba2 |
12936.s |
12936ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$3.873413235$ |
$1$ |
|
$3$ |
$10240$ |
$0.696919$ |
$5476248398/891$ |
$1.10218$ |
$3.79034$ |
$[0, 1, 0, -3264, -72864]$ |
\(y^2=x^3+x^2-3264x-72864\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(111, 972)]$ |
| 12936.s2 |
12936ba1 |
12936.s |
12936ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.936706617$ |
$1$ |
|
$5$ |
$5120$ |
$0.350346$ |
$-1972156/1089$ |
$0.95185$ |
$2.95041$ |
$[0, 1, 0, -184, -1408]$ |
\(y^2=x^3+x^2-184x-1408\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(23, 84)]$ |
| 12936.t1 |
12936j3 |
12936.t |
12936j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.185368$ |
$5690357426/891$ |
$0.97486$ |
$4.41098$ |
$[0, 1, 0, -23144, -1362768]$ |
\(y^2=x^3+x^2-23144x-1362768\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 12936.t2 |
12936j2 |
12936.t |
12936j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$0.838795$ |
$3650692/1089$ |
$0.89911$ |
$3.56128$ |
$[0, 1, 0, -1584, -17424]$ |
\(y^2=x^3+x^2-1584x-17424\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
| 12936.t3 |
12936j1 |
12936.t |
12936j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.492221$ |
$810448/33$ |
$0.82188$ |
$3.25589$ |
$[0, 1, 0, -604, 5312]$ |
\(y^2=x^3+x^2-604x+5312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 12936.t4 |
12936j4 |
12936.t |
12936j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 7^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.185368$ |
$36382894/43923$ |
$0.96093$ |
$3.88606$ |
$[0, 1, 0, 4296, -111504]$ |
\(y^2=x^3+x^2+4296x-111504\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[]$ |
| 12936.u1 |
12936k3 |
12936.u |
12936k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{12} \cdot 7^{14} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$3.310093$ |
$14171198121996897746/4077720290568771$ |
$1.03437$ |
$6.69617$ |
$[0, 1, 0, -31371384, 47944627632]$ |
\(y^2=x^3+x^2-31371384x+47944627632\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 12936.u2 |
12936k2 |
12936.u |
12936k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{10} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1105920$ |
$2.963520$ |
$21843440425782779332/3100814593569$ |
$1.02507$ |
$6.66866$ |
$[0, 1, 0, -28762624, 59356387376]$ |
\(y^2=x^3+x^2-28762624x+59356387376\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
| 12936.u3 |
12936k1 |
12936.u |
12936k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$2.616947$ |
$87364831012240243408/1760913$ |
$1.02507$ |
$6.66865$ |
$[0, 1, 0, -28761644, 59360635872]$ |
\(y^2=x^3+x^2-28761644x+59360635872\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 12936.u4 |
12936k4 |
12936.u |
12936k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{8} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$3.310093$ |
$-8226100326647904626/4152140742401883$ |
$1.03134$ |
$6.70496$ |
$[0, 1, 0, -26169544, 70496259056]$ |
\(y^2=x^3+x^2-26169544x+70496259056\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[]$ |
| 12936.v1 |
12936w1 |
12936.v |
12936w |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 7^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4416$ |
$0.254567$ |
$-98/33$ |
$1.17922$ |
$2.78431$ |
$[0, 1, 0, -16, 608]$ |
\(y^2=x^3+x^2-16x+608\) |
264.2.0.? |
$[]$ |
| 12936.w1 |
12936z1 |
12936.w |
12936z |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.169056027$ |
$1$ |
|
$8$ |
$4608$ |
$0.430711$ |
$369381632/216513$ |
$1.00539$ |
$2.99307$ |
$[0, 1, 0, 264, -99]$ |
\(y^2=x^3+x^2+264x-99\) |
462.2.0.? |
$[(30, 189)]$ |
| 12936.x1 |
12936x2 |
12936.x |
12936x |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.321524$ |
$4866277250/43659$ |
$0.89537$ |
$4.39445$ |
$[0, 1, 0, -21968, 1236192]$ |
\(y^2=x^3+x^2-21968x+1236192\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 12936.x2 |
12936x1 |
12936.x |
12936x |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.974950$ |
$-62500/7623$ |
$0.98433$ |
$3.69731$ |
$[0, 1, 0, -408, 46080]$ |
\(y^2=x^3+x^2-408x+46080\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 12936.y1 |
12936i1 |
12936.y |
12936i |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.271879798$ |
$1$ |
|
$6$ |
$13824$ |
$1.113440$ |
$-91238612224/251559$ |
$0.90714$ |
$4.19207$ |
$[0, 1, 0, -11580, 476937]$ |
\(y^2=x^3+x^2-11580x+476937\) |
462.2.0.? |
$[(72, 147)]$ |
| 12936.z1 |
12936y1 |
12936.z |
12936y |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.097055$ |
$-1755904/3993$ |
$0.84305$ |
$2.59661$ |
$[0, 1, 0, -44, -267]$ |
\(y^2=x^3+x^2-44x-267\) |
462.2.0.? |
$[]$ |
| 12936.ba1 |
12936bb1 |
12936.ba |
12936bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.235974300$ |
$1$ |
|
$6$ |
$376320$ |
$2.434780$ |
$-93303976999933696/2910897$ |
$1.09622$ |
$6.26974$ |
$[0, 1, 0, -8166944, 8980611093]$ |
\(y^2=x^3+x^2-8166944x+8980611093\) |
462.2.0.? |
$[(1486, 11319)]$ |
