| 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 |
| 8624.a1 |
8624bd1 |
8624.a |
8624bd |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.879448$ |
$884736/539$ |
$1.02512$ |
$3.71719$ |
$[0, 0, 0, 1568, 5488]$ |
\(y^2=x^3+1568x+5488\) |
22.2.0.a.1 |
$[]$ |
| 8624.b1 |
8624p1 |
8624.b |
8624p |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.801921782$ |
$1$ |
|
$4$ |
$24192$ |
$1.078058$ |
$415233/88$ |
$0.82789$ |
$4.06317$ |
$[0, 0, 0, -4459, -91238]$ |
\(y^2=x^3-4459x-91238\) |
88.2.0.? |
$[(-49, 98)]$ |
| 8624.c1 |
8624l1 |
8624.c |
8624l |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.063135136$ |
$1$ |
|
$2$ |
$5760$ |
$0.343743$ |
$-27648/11$ |
$0.78666$ |
$3.08654$ |
$[0, 0, 0, -196, 1372]$ |
\(y^2=x^3-196x+1372\) |
22.2.0.a.1 |
$[(-7, 49)]$ |
| 8624.d1 |
8624be1 |
8624.d |
8624be |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{21} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.895353$ |
$551516475321/5632$ |
$1.00498$ |
$4.33063$ |
$[0, 0, 0, -10003, -385070]$ |
\(y^2=x^3-10003x-385070\) |
88.2.0.? |
$[]$ |
| 8624.e1 |
8624k2 |
8624.e |
8624k |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.363985476$ |
$1$ |
|
$3$ |
$12288$ |
$1.038668$ |
$1354435492/539$ |
$0.87282$ |
$4.37346$ |
$[0, 1, 0, -11384, -471164]$ |
\(y^2=x^3+x^2-11384x-471164\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(135, 686)]$ |
| 8624.e2 |
8624k1 |
8624.e |
8624k |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.181992738$ |
$1$ |
|
$7$ |
$6144$ |
$0.692094$ |
$-810448/847$ |
$0.75673$ |
$3.51541$ |
$[0, 1, 0, -604, -9780]$ |
\(y^2=x^3+x^2-604x-9780\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(58, 392)]$ |
| 8624.f1 |
8624j1 |
8624.f |
8624j |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 7^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$4.408421118$ |
$1$ |
|
$3$ |
$3584$ |
$0.654237$ |
$256000/11$ |
$0.76229$ |
$3.61263$ |
$[0, 1, 0, -1143, 13936]$ |
\(y^2=x^3+x^2-1143x+13936\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.d.1, 154.6.0.?, 308.12.0.? |
$[(80, 664)]$ |
| 8624.f2 |
8624j2 |
8624.f |
8624j |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.204210559$ |
$1$ |
|
$5$ |
$7168$ |
$1.000811$ |
$2000/121$ |
$0.82372$ |
$3.89518$ |
$[0, 1, 0, 572, 53724]$ |
\(y^2=x^3+x^2+572x+53724\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.d.1, 308.12.0.? |
$[(-22, 176)]$ |
| 8624.g1 |
8624v2 |
8624.g |
8624v |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 7^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1.788179265$ |
$1$ |
|
$5$ |
$6144$ |
$0.729982$ |
$59776471/29282$ |
$0.93517$ |
$3.53791$ |
$[0, 1, 0, -912, -4460]$ |
\(y^2=x^3+x^2-912x-4460\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(-12, 70)]$ |
| 8624.g2 |
8624v1 |
8624.g |
8624v |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$0.894089632$ |
$1$ |
|
$7$ |
$3072$ |
$0.383409$ |
$704969/484$ |
$0.87729$ |
$3.04795$ |
$[0, 1, 0, 208, -428]$ |
\(y^2=x^3+x^2+208x-428\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(4, 22)]$ |
| 8624.h1 |
8624d2 |
8624.h |
8624d |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.409437$ |
$1389715708/11$ |
$0.91254$ |
$5.02047$ |
$[0, 1, 0, -80376, 8743972]$ |
\(y^2=x^3+x^2-80376x+8743972\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.d.1, 154.6.0.?, 308.12.0.? |
$[]$ |
| 8624.h2 |
8624d1 |
8624.h |
8624d |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.062864$ |
$-1272112/121$ |
$0.78104$ |
$4.11228$ |
$[0, 1, 0, -4916, 141532]$ |
\(y^2=x^3+x^2-4916x+141532\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.d.1, 308.12.0.? |
$[]$ |
| 8624.i1 |
8624g1 |
8624.i |
8624g |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.268037868$ |
$1$ |
|
$6$ |
$2304$ |
$0.276304$ |
$6902546/1331$ |
$0.84435$ |
$3.00849$ |
$[0, -1, 0, -184, 848]$ |
\(y^2=x^3-x^2-184x+848\) |
88.2.0.? |
$[(2, 22)]$ |
| 8624.j1 |
8624r3 |
8624.j |
8624r |
$3$ |
$25$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$7700$ |
$1200$ |
$37$ |
$30.46889473$ |
$1$ |
|
$0$ |
$72000$ |
$2.162811$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.45534$ |
$[0, -1, 0, -6131141, -5841282131]$ |
\(y^2=x^3-x^2-6131141x-5841282131\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 140.24.0.?, $\ldots$ |
$[(99786631877260/117609, 927882390872138344937/117609)]$ |
| 8624.j2 |
8624r2 |
8624.j |
8624r |
$3$ |
$25$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{6} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$7700$ |
$1200$ |
$37$ |
$6.093778947$ |
$1$ |
|
$0$ |
$14400$ |
$1.358093$ |
$-122023936/161051$ |
$1.01300$ |
$4.39193$ |
$[0, -1, 0, -8101, -505651]$ |
\(y^2=x^3-x^2-8101x-505651\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 140.120.0.?, 275.300.12.?, $\ldots$ |
$[(2572/3, 122059/3)]$ |
| 8624.j3 |
8624r1 |
8624.j |
8624r |
$3$ |
$25$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$7700$ |
$1200$ |
$37$ |
$1.218755789$ |
$1$ |
|
$2$ |
$2880$ |
$0.553373$ |
$-4096/11$ |
$0.82546$ |
$3.31494$ |
$[0, -1, 0, -261, 3949]$ |
\(y^2=x^3-x^2-261x+3949\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 140.24.0.?, $\ldots$ |
$[(12, 49)]$ |
| 8624.k1 |
8624m2 |
8624.k |
8624m |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$0.259961072$ |
$1$ |
|
$8$ |
$6912$ |
$0.926820$ |
$911871625/10648$ |
$0.93690$ |
$4.05332$ |
$[0, -1, 0, -4328, 109936]$ |
\(y^2=x^3-x^2-4328x+109936\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[(20, 176)]$ |
| 8624.k2 |
8624m1 |
8624.k |
8624m |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$0.779883216$ |
$1$ |
|
$4$ |
$2304$ |
$0.377514$ |
$765625/22$ |
$0.93478$ |
$3.27178$ |
$[0, -1, 0, -408, -2960]$ |
\(y^2=x^3-x^2-408x-2960\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(-12, 8)]$ |
| 8624.l1 |
8624n2 |
8624.l |
8624n |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{17} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1.595688367$ |
$1$ |
|
$4$ |
$120960$ |
$2.308407$ |
$413160293352625/42592$ |
$1.00364$ |
$6.34937$ |
$[0, -1, 0, -4451568, 3616561600]$ |
\(y^2=x^3-x^2-4451568x+3616561600\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[(1218, 22)]$ |
| 8624.l2 |
8624n1 |
8624.l |
8624n |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{27} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$4.787065103$ |
$1$ |
|
$2$ |
$40320$ |
$1.759100$ |
$1071912625/360448$ |
$0.92911$ |
$4.93007$ |
$[0, -1, 0, -61168, 3789248]$ |
\(y^2=x^3-x^2-61168x+3789248\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(34, 1322)]$ |
| 8624.m1 |
8624b1 |
8624.m |
8624b |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.037737$ |
$-1024/65219$ |
$1.07918$ |
$3.94611$ |
$[0, -1, 0, -65, 67453]$ |
\(y^2=x^3-x^2-65x+67453\) |
22.2.0.a.1 |
$[]$ |
| 8624.n1 |
8624q1 |
8624.n |
8624q |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.795711964$ |
$1$ |
|
$4$ |
$4608$ |
$0.692755$ |
$-4194304/539$ |
$0.95840$ |
$3.60509$ |
$[0, -1, 0, -1045, 14729]$ |
\(y^2=x^3-x^2-1045x+14729\) |
22.2.0.a.1 |
$[(5, 98)]$ |
| 8624.o1 |
8624w3 |
8624.o |
8624w |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$2.293274$ |
$15226621995131793/2324168$ |
$1.03578$ |
$6.31793$ |
$[0, 0, 0, -4048331, -3135177094]$ |
\(y^2=x^3-4048331x-3135177094\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.2, 56.48.0-56.v.1.7 |
$[]$ |
| 8624.o2 |
8624w4 |
8624.o |
8624w |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$110592$ |
$2.293274$ |
$24331017010833/12004097336$ |
$1.13408$ |
$5.60740$ |
$[0, 0, 0, -473291, 48126330]$ |
\(y^2=x^3-473291x+48126330\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 56.48.0-56.bp.1.4 |
$[]$ |
| 8624.o3 |
8624w2 |
8624.o |
8624w |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{18} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$55296$ |
$1.946701$ |
$3750606459153/45914176$ |
$1.08438$ |
$5.40107$ |
$[0, 0, 0, -253771, -48681990]$ |
\(y^2=x^3-253771x-48681990\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.b.1.2, 56.48.0-56.d.1.4 |
$[]$ |
| 8624.o4 |
8624w1 |
8624.o |
8624w |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{24} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.600128$ |
$-5545233/3469312$ |
$1.05747$ |
$4.69068$ |
$[0, 0, 0, -2891, -1968134]$ |
\(y^2=x^3-2891x-1968134\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$ |
$[]$ |
| 8624.p1 |
8624e2 |
8624.p |
8624e |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$4.507442439$ |
$1$ |
|
$3$ |
$18432$ |
$1.472345$ |
$2415899250/1294139$ |
$1.20887$ |
$4.51380$ |
$[0, 0, 0, -17395, 240786]$ |
\(y^2=x^3-17395x+240786\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(135, 594)]$ |
| 8624.p2 |
8624e1 |
8624.p |
8624e |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$2.253721219$ |
$1$ |
|
$5$ |
$9216$ |
$1.125772$ |
$66325500/41503$ |
$0.93491$ |
$4.04059$ |
$[0, 0, 0, 4165, 29498]$ |
\(y^2=x^3+4165x+29498\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(37, 484)]$ |
| 8624.q1 |
8624f3 |
8624.q |
8624f |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 7^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$2.952560393$ |
$1$ |
|
$3$ |
$12288$ |
$1.200335$ |
$1707831108/26411$ |
$0.90642$ |
$4.39904$ |
$[0, 0, 0, -12299, 517930]$ |
\(y^2=x^3-12299x+517930\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 44.12.0.h.1, $\ldots$ |
$[(-42, 980)]$ |
| 8624.q2 |
8624f2 |
8624.q |
8624f |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$308$ |
$48$ |
$0$ |
$5.905120786$ |
$1$ |
|
$3$ |
$6144$ |
$0.853761$ |
$12869712/5929$ |
$0.92155$ |
$3.70668$ |
$[0, 0, 0, -1519, -10290]$ |
\(y^2=x^3-1519x-10290\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 44.24.0-44.a.1.3, 308.48.0.? |
$[(1941/5, 72864/5)]$ |
| 8624.q3 |
8624f1 |
8624.q |
8624f |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$11.81024157$ |
$1$ |
|
$1$ |
$3072$ |
$0.507187$ |
$121485312/77$ |
$0.96765$ |
$3.64845$ |
$[0, 0, 0, -1274, -17493]$ |
\(y^2=x^3-1274x-17493\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 154.6.0.?, $\ldots$ |
$[(92899/45, 13082768/45)]$ |
| 8624.q4 |
8624f4 |
8624.q |
8624f |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$2.952560393$ |
$1$ |
|
$7$ |
$12288$ |
$1.200335$ |
$139863132/102487$ |
$0.92001$ |
$4.12291$ |
$[0, 0, 0, 5341, -77518]$ |
\(y^2=x^3+5341x-77518\) |
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.?, $\ldots$ |
$[(289, 5060)]$ |
| 8624.r1 |
8624x2 |
8624.r |
8624x |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.714117$ |
$11422548526761/4312$ |
$1.11135$ |
$5.52396$ |
$[0, 0, 0, -367843, 85870050]$ |
\(y^2=x^3-367843x+85870050\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 8624.r2 |
8624x1 |
8624.r |
8624x |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{18} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.367544$ |
$-2749884201/54208$ |
$1.01159$ |
$4.60827$ |
$[0, 0, 0, -22883, 1354850]$ |
\(y^2=x^3-22883x+1354850\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 8624.s1 |
8624bb1 |
8624.s |
8624bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.371103$ |
$-78843215872/539$ |
$1.00604$ |
$4.97489$ |
$[0, 1, 0, -70037, 7110851]$ |
\(y^2=x^3+x^2-70037x+7110851\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
$[]$ |
| 8624.s2 |
8624bb2 |
8624.s |
8624bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{12} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.920408$ |
$-13278380032/156590819$ |
$1.06522$ |
$5.11625$ |
$[0, 1, 0, -38677, 13523971]$ |
\(y^2=x^3+x^2-38677x+13523971\) |
3.12.0.a.1, 22.2.0.a.1, 63.36.0.b.1, 66.24.1.b.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 8624.s3 |
8624bb3 |
8624.s |
8624bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{8} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$2.469715$ |
$9463555063808/115539436859$ |
$1.06593$ |
$5.83431$ |
$[0, 1, 0, 345483, -350275549]$ |
\(y^2=x^3+x^2+345483x-350275549\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.2, 66.8.0.a.1, $\ldots$ |
$[]$ |
| 8624.t1 |
8624z2 |
8624.t |
8624z |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{17} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.335451$ |
$413160293352625/42592$ |
$1.00364$ |
$5.06101$ |
$[0, 1, 0, -90848, -10569868]$ |
\(y^2=x^3+x^2-90848x-10569868\) |
3.4.0.a.1, 84.8.0.?, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 8624.t2 |
8624z1 |
8624.t |
8624z |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{27} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.786144$ |
$1071912625/360448$ |
$0.92911$ |
$3.64171$ |
$[0, 1, 0, -1248, -11404]$ |
\(y^2=x^3+x^2-1248x-11404\) |
3.4.0.a.1, 84.8.0.?, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 8624.u1 |
8624y2 |
8624.u |
8624y |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.899775$ |
$911871625/10648$ |
$0.93690$ |
$5.34167$ |
$[0, 1, 0, -212088, -37283884]$ |
\(y^2=x^3+x^2-212088x-37283884\) |
3.4.0.a.1, 84.8.0.?, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 8624.u2 |
8624y1 |
8624.u |
8624y |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.350470$ |
$765625/22$ |
$0.93478$ |
$4.56013$ |
$[0, 1, 0, -20008, 1055284]$ |
\(y^2=x^3+x^2-20008x+1055284\) |
3.4.0.a.1, 84.8.0.?, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 8624.v1 |
8624a1 |
8624.v |
8624a |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.249258$ |
$6902546/1331$ |
$0.84435$ |
$4.29684$ |
$[0, 1, 0, -9032, -272812]$ |
\(y^2=x^3+x^2-9032x-272812\) |
88.2.0.? |
$[]$ |
| 8624.w1 |
8624ba2 |
8624.w |
8624ba |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.869967$ |
$-199794688/1331$ |
$0.99506$ |
$4.01056$ |
$[0, 1, 0, -3789, -91561]$ |
\(y^2=x^3+x^2-3789x-91561\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 84.8.0.?, 924.16.0.? |
$[]$ |
| 8624.w2 |
8624ba1 |
8624.w |
8624ba |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.320661$ |
$8192/11$ |
$0.84294$ |
$2.92524$ |
$[0, 1, 0, 131, -617]$ |
\(y^2=x^3+x^2+131x-617\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 84.8.0.?, 924.16.0.? |
$[]$ |
| 8624.x1 |
8624c2 |
8624.x |
8624c |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.436482$ |
$1389715708/11$ |
$0.91254$ |
$3.73212$ |
$[0, -1, 0, -1640, -25024]$ |
\(y^2=x^3-x^2-1640x-25024\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.d.1, 154.6.0.?, 308.12.0.? |
$[]$ |
| 8624.x2 |
8624c1 |
8624.x |
8624c |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.089909$ |
$-1272112/121$ |
$0.78104$ |
$2.82393$ |
$[0, -1, 0, -100, -384]$ |
\(y^2=x^3-x^2-100x-384\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.d.1, 308.12.0.? |
$[]$ |
| 8624.y1 |
8624t2 |
8624.y |
8624t |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 7^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$6.940623116$ |
$1$ |
|
$1$ |
$43008$ |
$1.702938$ |
$59776471/29282$ |
$0.93517$ |
$4.82626$ |
$[0, -1, 0, -44704, 1440384]$ |
\(y^2=x^3-x^2-44704x+1440384\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(17314/9, 923714/9)]$ |
| 8624.y2 |
8624t1 |
8624.y |
8624t |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$3.470311558$ |
$1$ |
|
$3$ |
$21504$ |
$1.356363$ |
$704969/484$ |
$0.87729$ |
$4.33630$ |
$[0, -1, 0, 10176, 167168]$ |
\(y^2=x^3-x^2+10176x+167168\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(146, 2178)]$ |
| 8624.z1 |
8624u2 |
8624.z |
8624u |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$11.69981867$ |
$1$ |
|
$1$ |
$36864$ |
$1.573788$ |
$1426487591593/2156$ |
$0.95006$ |
$5.29440$ |
$[0, -1, 0, -183864, -30284176]$ |
\(y^2=x^3-x^2-183864x-30284176\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(221074/9, 102557134/9)]$ |
| 8624.z2 |
8624u1 |
8624.z |
8624u |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{16} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$5.849909336$ |
$1$ |
|
$3$ |
$18432$ |
$1.227215$ |
$-338608873/13552$ |
$0.87448$ |
$4.38083$ |
$[0, -1, 0, -11384, -479632]$ |
\(y^2=x^3-x^2-11384x-479632\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(2716, 141408)]$ |
