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 |
17424.a1 |
17424z1 |
17424.a |
17424z |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1.178539591$ |
$1$ |
|
$7$ |
$645120$ |
$2.508965$ |
$55635379958596/24057$ |
$1.02905$ |
$6.09899$ |
$[0, 0, 0, -8729787, 9927809210]$ |
\(y^2=x^3-8729787x+9927809210\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(1699, 486)]$ |
17424.a2 |
17424z2 |
17424.a |
17424z |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{20} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$2.357079182$ |
$1$ |
|
$5$ |
$1290240$ |
$2.855541$ |
$-27403349188178/578739249$ |
$1.02957$ |
$6.10113$ |
$[0, 0, 0, -8686227, 10031786930]$ |
\(y^2=x^3-8686227x+10031786930\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(583, 71874)]$ |
17424.b1 |
17424bi2 |
17424.b |
17424bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.061699675$ |
$1$ |
|
$7$ |
$61440$ |
$1.403404$ |
$19034163/121$ |
$0.94120$ |
$4.37891$ |
$[0, 0, 0, -32307, 2222770]$ |
\(y^2=x^3-32307x+2222770\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(143, 726)]$ |
17424.b2 |
17424bi1 |
17424.b |
17424bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.530849837$ |
$1$ |
|
$9$ |
$30720$ |
$1.056831$ |
$19683/11$ |
$1.13667$ |
$3.67499$ |
$[0, 0, 0, -3267, -13310]$ |
\(y^2=x^3-3267x-13310\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(-33, 242)]$ |
17424.c1 |
17424cj1 |
17424.c |
17424cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$126720$ |
$1.804991$ |
$45056/27$ |
$1.13667$ |
$4.58838$ |
$[0, 0, 0, 63888, -1171280]$ |
\(y^2=x^3+63888x-1171280\) |
6.2.0.a.1 |
$[]$ |
17424.d1 |
17424ci1 |
17424.d |
17424ci |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.606043$ |
$45056/27$ |
$1.13667$ |
$3.11511$ |
$[0, 0, 0, 528, 880]$ |
\(y^2=x^3+528x+880\) |
6.2.0.a.1 |
$[]$ |
17424.e1 |
17424y1 |
17424.e |
17424y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1.080599934$ |
$1$ |
|
$2$ |
$67584$ |
$1.423252$ |
$-1188$ |
$0.78666$ |
$4.16608$ |
$[0, 0, 0, -11979, -790614]$ |
\(y^2=x^3-11979x-790614\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(363, 6534)]$ |
17424.f1 |
17424ce2 |
17424.f |
17424ce |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$96768$ |
$1.635687$ |
$-2527934627152/9$ |
$1.07087$ |
$5.14939$ |
$[0, 0, 0, -396759, -96191854]$ |
\(y^2=x^3-396759x-96191854\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 8.4.0-4.a.1.1, 12.16.0-12.a.1.4, $\ldots$ |
$[]$ |
17424.f2 |
17424ce1 |
17424.f |
17424ce |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.086380$ |
$-4253392/729$ |
$0.97109$ |
$3.81452$ |
$[0, 0, 0, -4719, -142054]$ |
\(y^2=x^3-4719x-142054\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 8.4.0-4.a.1.1, 12.16.0-12.a.1.2, $\ldots$ |
$[]$ |
17424.g1 |
17424cd2 |
17424.g |
17424cd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1064448$ |
$2.834633$ |
$-2527934627152/9$ |
$1.07087$ |
$6.62266$ |
$[0, 0, 0, -48007839, 128031357674]$ |
\(y^2=x^3-48007839x+128031357674\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 66.8.0-3.a.1.1, $\ldots$ |
$[]$ |
17424.g2 |
17424cd1 |
17424.g |
17424cd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354816$ |
$2.285328$ |
$-4253392/729$ |
$0.97109$ |
$5.28779$ |
$[0, 0, 0, -570999, 189073874]$ |
\(y^2=x^3-570999x+189073874\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 66.8.0-3.a.1.2, $\ldots$ |
$[]$ |
17424.h1 |
17424x1 |
17424.h |
17424x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.8.0.2 |
|
$132$ |
$16$ |
$0$ |
$0.654950390$ |
$1$ |
|
$4$ |
$6144$ |
$0.224305$ |
$-1188$ |
$0.78666$ |
$2.69281$ |
$[0, 0, 0, -99, 594]$ |
\(y^2=x^3-99x+594\) |
4.8.0.b.1, 132.16.0.? |
$[(3, 18)]$ |
17424.i1 |
17424bz3 |
17424.i |
17424bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{7} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.346447$ |
$4824238966273/66$ |
$1.02376$ |
$5.99057$ |
$[0, 0, 0, -6133611, 5846856730]$ |
\(y^2=x^3-6133611x+5846856730\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 264.48.0.? |
$[]$ |
17424.i2 |
17424bz2 |
17424.i |
17424bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$1.999874$ |
$1180932193/4356$ |
$0.96736$ |
$5.13910$ |
$[0, 0, 0, -383691, 91186810]$ |
\(y^2=x^3-383691x+91186810\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 132.24.0.?, 264.48.0.? |
$[]$ |
17424.i3 |
17424bz4 |
17424.i |
17424bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.346447$ |
$-192100033/2371842$ |
$1.02507$ |
$5.27121$ |
$[0, 0, 0, -209451, 174368986]$ |
\(y^2=x^3-209451x+174368986\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 132.12.0.?, 264.48.0.? |
$[]$ |
17424.i4 |
17424bz1 |
17424.i |
17424bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.653299$ |
$912673/528$ |
$1.18336$ |
$4.40535$ |
$[0, 0, 0, -35211, -45254]$ |
\(y^2=x^3-35211x-45254\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 66.6.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
17424.j1 |
17424l2 |
17424.j |
17424l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.594436$ |
$1661168/3$ |
$0.91565$ |
$3.44613$ |
$[0, 0, 0, -1551, -23474]$ |
\(y^2=x^3-1551x-23474\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
17424.j2 |
17424l1 |
17424.j |
17424l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.247862$ |
$-2048/9$ |
$0.96856$ |
$2.69657$ |
$[0, 0, 0, -66, -605]$ |
\(y^2=x^3-66x-605\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
17424.k1 |
17424d2 |
17424.k |
17424d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$2.151166877$ |
$1$ |
|
$5$ |
$18432$ |
$1.049557$ |
$4293378$ |
$0.99900$ |
$4.09380$ |
$[0, 0, 0, -12771, -555390]$ |
\(y^2=x^3-12771x-555390\) |
2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? |
$[(-65, 10)]$ |
17424.k2 |
17424d1 |
17424.k |
17424d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$1.075583438$ |
$1$ |
|
$7$ |
$9216$ |
$0.702983$ |
$2916$ |
$0.78666$ |
$3.27585$ |
$[0, 0, 0, -891, -6534]$ |
\(y^2=x^3-891x-6534\) |
2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? |
$[(-21, 54)]$ |
17424.l1 |
17424by2 |
17424.l |
17424by |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.396959$ |
$810448/363$ |
$0.86847$ |
$4.10928$ |
$[0, 0, 0, -13431, 284834]$ |
\(y^2=x^3-13431x+284834\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
17424.l2 |
17424by1 |
17424.l |
17424by |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.050386$ |
$131072/99$ |
$1.36072$ |
$3.63881$ |
$[0, 0, 0, 2904, 33275]$ |
\(y^2=x^3+2904x+33275\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
17424.m1 |
17424v3 |
17424.m |
17424v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$5.978899737$ |
$1$ |
|
$1$ |
$122880$ |
$1.960667$ |
$5690357426/891$ |
$0.97486$ |
$5.22914$ |
$[0, 0, 0, -514371, -141972446]$ |
\(y^2=x^3-514371x-141972446\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$ |
$[(-1647/2, 895/2)]$ |
17424.m2 |
17424v2 |
17424.m |
17424v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.989449868$ |
$1$ |
|
$7$ |
$61440$ |
$1.614094$ |
$3650692/1089$ |
$0.89911$ |
$4.40535$ |
$[0, 0, 0, -35211, -1770230]$ |
\(y^2=x^3-35211x-1770230\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 44.12.0-2.a.1.1, $\ldots$ |
$[(-79, 720)]$ |
17424.m3 |
17424v1 |
17424.m |
17424v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$1.494724934$ |
$1$ |
|
$3$ |
$30720$ |
$1.267519$ |
$810448/33$ |
$0.82188$ |
$4.10928$ |
$[0, 0, 0, -13431, 577654]$ |
\(y^2=x^3-13431x+577654\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.7, $\ldots$ |
$[(-99, 968)]$ |
17424.m4 |
17424v4 |
17424.m |
17424v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$1.494724934$ |
$1$ |
|
$7$ |
$122880$ |
$1.960667$ |
$36382894/43923$ |
$0.96093$ |
$4.72023$ |
$[0, 0, 0, 95469, -11832590]$ |
\(y^2=x^3+95469x-11832590\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 44.12.0-4.c.1.2, $\ldots$ |
$[(143, 2178)]$ |
17424.n1 |
17424bx2 |
17424.n |
17424bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{11} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$230400$ |
$2.163616$ |
$932410994128/29403$ |
$0.99766$ |
$5.53834$ |
$[0, 0, 0, -1407351, -642598814]$ |
\(y^2=x^3-1407351x-642598814\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
17424.n2 |
17424bx1 |
17424.n |
17424bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{16} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$115200$ |
$1.817043$ |
$-3196715008/649539$ |
$1.08791$ |
$4.70406$ |
$[0, 0, 0, -84216, -10934165]$ |
\(y^2=x^3-84216x-10934165\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
17424.o1 |
17424c2 |
17424.o |
17424c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$6.985196448$ |
$1$ |
|
$3$ |
$202752$ |
$2.248505$ |
$4293378$ |
$0.99900$ |
$5.56707$ |
$[0, 0, 0, -1545291, 739224090]$ |
\(y^2=x^3-1545291x+739224090\) |
2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? |
$[(2407, 104714)]$ |
17424.o2 |
17424c1 |
17424.o |
17424c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$3.492598224$ |
$1$ |
|
$5$ |
$101376$ |
$1.901932$ |
$2916$ |
$0.78666$ |
$4.74912$ |
$[0, 0, 0, -107811, 8696754]$ |
\(y^2=x^3-107811x+8696754\) |
2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? |
$[(-255, 4428)]$ |
17424.p1 |
17424k2 |
17424.p |
17424k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.793383$ |
$1661168/3$ |
$0.91565$ |
$4.91940$ |
$[0, 0, 0, -187671, 31243894]$ |
\(y^2=x^3-187671x+31243894\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
17424.p2 |
17424k1 |
17424.p |
17424k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$1.446810$ |
$-2048/9$ |
$0.96856$ |
$4.16984$ |
$[0, 0, 0, -7986, 805255]$ |
\(y^2=x^3-7986x+805255\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
17424.q1 |
17424h1 |
17424.q |
17424h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$44$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63360$ |
$1.496849$ |
$1024$ |
$0.78666$ |
$4.16251$ |
$[0, 0, 0, 15972, 644204]$ |
\(y^2=x^3+15972x+644204\) |
4.4.0.a.1, 22.2.0.a.1, 44.8.0.a.1 |
$[]$ |
17424.r1 |
17424bv3 |
17424.r |
17424bv |
$3$ |
$25$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$3300$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$720000$ |
$2.938110$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.94313$ |
$[0, 0, 0, -136261488, 612220410736]$ |
\(y^2=x^3-136261488x+612220410736\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 60.24.0-5.a.2.4, 110.24.1.?, $\ldots$ |
$[]$ |
17424.r2 |
17424bv2 |
17424.r |
17424bv |
$3$ |
$25$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$3300$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$144000$ |
$2.133392$ |
$-122023936/161051$ |
$1.01300$ |
$5.02832$ |
$[0, 0, 0, -180048, 53261296]$ |
\(y^2=x^3-180048x+53261296\) |
5.60.0.a.1, 22.2.0.a.1, 60.120.0-5.a.1.4, 110.120.5.?, 275.300.12.?, $\ldots$ |
$[]$ |
17424.r3 |
17424bv1 |
17424.r |
17424bv |
$3$ |
$25$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$3300$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.328672$ |
$-4096/11$ |
$0.82546$ |
$4.02889$ |
$[0, 0, 0, -5808, -404624]$ |
\(y^2=x^3-5808x-404624\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 60.24.0-5.a.1.4, 110.24.1.?, $\ldots$ |
$[]$ |
17424.s1 |
17424bu2 |
17424.s |
17424bu |
$2$ |
$11$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$264$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.923441$ |
$-121$ |
$0.94611$ |
$4.75248$ |
$[0, 0, 0, -43923, 13850386]$ |
\(y^2=x^3-43923x+13850386\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 66.120.1-11.b.1.1, 88.240.16.?, $\ldots$ |
$[]$ |
17424.s2 |
17424bu1 |
17424.s |
17424bu |
$2$ |
$11$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$264$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.724492$ |
$-24729001$ |
$0.96853$ |
$3.76104$ |
$[0, 0, 0, -4323, -109406]$ |
\(y^2=x^3-4323x-109406\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 66.120.1-11.b.2.1, 88.240.16.?, $\ldots$ |
$[]$ |
17424.t1 |
17424bt2 |
17424.t |
17424bt |
$2$ |
$11$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$264$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.923441$ |
$-24729001$ |
$0.96853$ |
$5.23431$ |
$[0, 0, 0, -523083, 145619386]$ |
\(y^2=x^3-523083x+145619386\) |
4.2.0.a.1, 11.60.1.b.2, 24.4.0-4.a.1.1, 44.120.6.b.2, 66.120.1-11.b.2.2, $\ldots$ |
$[]$ |
17424.t2 |
17424bt1 |
17424.t |
17424bt |
$2$ |
$11$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$264$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.724492$ |
$-121$ |
$0.94611$ |
$3.27921$ |
$[0, 0, 0, -363, -10406]$ |
\(y^2=x^3-363x-10406\) |
4.2.0.a.1, 11.60.1.b.1, 24.4.0-4.a.1.1, 44.120.6.b.1, 66.120.1-11.b.1.2, $\ldots$ |
$[]$ |
17424.u1 |
17424g1 |
17424.u |
17424g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$44$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.297902$ |
$1024$ |
$0.78666$ |
$2.68924$ |
$[0, 0, 0, 132, -484]$ |
\(y^2=x^3+132x-484\) |
4.4.0.a.1, 22.2.0.a.1, 44.8.0.a.1 |
$[]$ |
17424.v1 |
17424bg1 |
17424.v |
17424bg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$2.964604523$ |
$1$ |
|
$2$ |
$8064$ |
$0.445981$ |
$0$ |
|
$2.93478$ |
$[0, 0, 0, 0, -1936]$ |
\(y^2=x^3-1936\) |
|
$[(25, 117)]$ |
17424.v2 |
17424bg2 |
17424.v |
17424bg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$0.988201507$ |
$1$ |
|
$2$ |
$24192$ |
$0.995287$ |
$0$ |
|
$3.60977$ |
$[0, 0, 0, 0, 52272]$ |
\(y^2=x^3+52272\) |
|
$[(33, 297)]$ |
17424.w1 |
17424be4 |
17424.w |
17424be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.870871293$ |
$1$ |
|
$1$ |
$34560$ |
$1.279411$ |
$54000$ |
$1.02720$ |
$4.16941$ |
$[0, 0, 0, -16335, -790614]$ |
\(y^2=x^3-16335x-790614\) |
|
$[(7161/2, 604395/2)]$ |
17424.w2 |
17424be2 |
17424.w |
17424be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.623623764$ |
$1$ |
|
$3$ |
$11520$ |
$0.730106$ |
$54000$ |
$1.02720$ |
$3.49442$ |
$[0, 0, 0, -1815, 29282]$ |
\(y^2=x^3-1815x+29282\) |
|
$[(-22, 242)]$ |
17424.w3 |
17424be3 |
17424.w |
17424be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
|
|
|
$9.741742587$ |
$1$ |
|
$1$ |
$17280$ |
$0.932838$ |
$0$ |
|
$3.53303$ |
$[0, 0, 0, 0, -35937]$ |
\(y^2=x^3-35937\) |
|
$[(55977/37, 9121140/37)]$ |
17424.w4 |
17424be1 |
17424.w |
17424be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
|
|
|
$3.247247529$ |
$1$ |
|
$3$ |
$5760$ |
$0.383533$ |
$0$ |
|
$2.85804$ |
$[0, 0, 0, 0, 1331]$ |
\(y^2=x^3+1331\) |
|
$[(37, 228)]$ |
17424.x1 |
17424f2 |
17424.x |
17424f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.747015$ |
$1687500/121$ |
$1.15454$ |
$4.66383$ |
$[0, 0, 0, -81675, 8409258]$ |
\(y^2=x^3-81675x+8409258\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |
17424.x2 |
17424f1 |
17424.x |
17424f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.400440$ |
$54000/11$ |
$0.83260$ |
$4.16941$ |
$[0, 0, 0, -16335, -646866]$ |
\(y^2=x^3-16335x-646866\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
17424.y1 |
17424e2 |
17424.y |
17424e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.197708$ |
$1687500/121$ |
$1.15454$ |
$3.98884$ |
$[0, 0, 0, -9075, -311454]$ |
\(y^2=x^3-9075x-311454\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |