| 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 |
| 7056.a1 |
7056cd2 |
7056.a |
7056cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.204 |
2B |
$56$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$2.324890$ |
$838561807/26244$ |
$1.03462$ |
$5.97743$ |
$[0, 0, 0, -970347, -357821030]$ |
\(y^2=x^3-970347x-357821030\) |
2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.2, 28.24.0.i.1, 56.96.1.cq.1 |
$[]$ |
| 7056.a2 |
7056cd1 |
7056.a |
7056cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.203 |
2B |
$56$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.978315$ |
$4913/1296$ |
$1.13279$ |
$5.30852$ |
$[0, 0, 0, 17493, -18991910]$ |
\(y^2=x^3+17493x-18991910\) |
2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.1, 14.6.0.b.1, 28.24.0.g.1, $\ldots$ |
$[]$ |
| 7056.b1 |
7056d1 |
7056.b |
7056d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$11.33105530$ |
$1$ |
|
$0$ |
$40320$ |
$1.584066$ |
$-5225472$ |
$1.03482$ |
$5.24388$ |
$[0, 0, 0, -111132, -14261940]$ |
\(y^2=x^3-111132x-14261940\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[(423777/7, 275662953/7)]$ |
| 7056.c1 |
7056ba2 |
7056.c |
7056ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.026175415$ |
$1$ |
|
$7$ |
$18432$ |
$1.287592$ |
$3543122/49$ |
$1.08036$ |
$4.62356$ |
$[0, 0, 0, -17787, 902090]$ |
\(y^2=x^3-17787x+902090\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(7, 882)]$ |
| 7056.c2 |
7056ba1 |
7056.c |
7056ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$0.513087707$ |
$1$ |
|
$9$ |
$9216$ |
$0.941019$ |
$-4/7$ |
$1.03482$ |
$3.90442$ |
$[0, 0, 0, -147, 37730]$ |
\(y^2=x^3-147x+37730\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(-7, 196)]$ |
| 7056.d1 |
7056l1 |
7056.d |
7056l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.061805$ |
$-5225472$ |
$1.03482$ |
$3.18251$ |
$[0, 0, 0, -252, -1540]$ |
\(y^2=x^3-252x-1540\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[]$ |
| 7056.e1 |
7056be1 |
7056.e |
7056be |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.463881$ |
$-67645179/8$ |
$1.03261$ |
$5.10187$ |
$[0, 0, 0, -73059, -7601566]$ |
\(y^2=x^3-73059x-7601566\) |
3.4.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.1, 24.16.0-24.d.1.3, 36.24.0-9.b.1.2, $\ldots$ |
$[]$ |
| 7056.e2 |
7056be2 |
7056.e |
7056be |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$2.013187$ |
$189/512$ |
$1.32659$ |
$5.35628$ |
$[0, 0, 0, 9261, -23467374]$ |
\(y^2=x^3+9261x-23467374\) |
3.4.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.2, 24.16.0-24.d.1.4, 36.24.0-9.b.1.1, $\ldots$ |
$[]$ |
| 7056.f1 |
7056bo2 |
7056.f |
7056bo |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 9.12.0.2 |
2Cn, 3B |
$252$ |
$864$ |
$28$ |
$10.65852701$ |
$1$ |
|
$0$ |
$15120$ |
$1.317226$ |
$406749952$ |
$0.99897$ |
$5.05045$ |
$[0, 0, 0, -62769, -6052921]$ |
\(y^2=x^3-62769x-6052921\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.32.0-12.a.1.2, $\ldots$ |
$[(-504034/59, 376571/59)]$ |
| 7056.f2 |
7056bo1 |
7056.f |
7056bo |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 9.12.0.2 |
2Cn, 3B |
$252$ |
$864$ |
$28$ |
$3.552842338$ |
$1$ |
|
$2$ |
$5040$ |
$0.767920$ |
$1792$ |
$0.89152$ |
$3.65876$ |
$[0, 0, 0, -1029, -2401]$ |
\(y^2=x^3-1029x-2401\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.32.0-12.a.2.3, $\ldots$ |
$[(-10, 83)]$ |
| 7056.g1 |
7056bn2 |
7056.g |
7056bn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{27} \cdot 3^{7} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$3.145294590$ |
$1$ |
|
$2$ |
$34560$ |
$1.689373$ |
$-16591834777/98304$ |
$1.06741$ |
$5.21749$ |
$[0, 0, 0, -102459, -12687766]$ |
\(y^2=x^3-102459x-12687766\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.d.1.3 |
$[(3565, 211968)]$ |
| 7056.g2 |
7056bn1 |
7056.g |
7056bn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.048431530$ |
$1$ |
|
$4$ |
$11520$ |
$1.140066$ |
$596183/864$ |
$1.03569$ |
$4.10756$ |
$[0, 0, 0, 3381, -92806]$ |
\(y^2=x^3+3381x-92806\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.d.1.4 |
$[(37, 288)]$ |
| 7056.h1 |
7056bj2 |
7056.h |
7056bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$1.892155260$ |
$1$ |
|
$2$ |
$10368$ |
$1.040232$ |
$-67645179/8$ |
$1.03261$ |
$4.52818$ |
$[0, 0, 0, -13419, -598374]$ |
\(y^2=x^3-13419x-598374\) |
3.4.0.a.1, 9.12.0.b.1, 24.8.0.d.1, 63.36.0.i.2, 72.24.0.?, $\ldots$ |
$[(165, 1296)]$ |
| 7056.h2 |
7056bj1 |
7056.h |
7056bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$0.630718420$ |
$1$ |
|
$4$ |
$3456$ |
$0.490926$ |
$189/512$ |
$1.32659$ |
$3.29491$ |
$[0, 0, 0, 21, -2534]$ |
\(y^2=x^3+21x-2534\) |
3.4.0.a.1, 9.12.0.b.1, 24.8.0.d.1, 63.36.0.i.1, 72.24.0.?, $\ldots$ |
$[(53, 384)]$ |
| 7056.i1 |
7056p1 |
7056.i |
7056p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.268959$ |
$-7168/27$ |
$0.94787$ |
$4.35559$ |
$[0, 0, 0, -4116, -278516]$ |
\(y^2=x^3-4116x-278516\) |
6.2.0.a.1 |
$[]$ |
| 7056.j1 |
7056j1 |
7056.j |
7056j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.919340$ |
$55296/7$ |
$0.81576$ |
$3.97850$ |
$[0, 0, 0, -2646, -46305]$ |
\(y^2=x^3-2646x-46305\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 7056.j2 |
7056j2 |
7056.j |
7056j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.265913$ |
$11664/49$ |
$0.83745$ |
$4.32273$ |
$[0, 0, 0, 3969, -240786]$ |
\(y^2=x^3+3969x-240786\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 7056.k1 |
7056by3 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$2.404510$ |
$268498407453697/252$ |
$1.05727$ |
$6.74918$ |
$[0, 0, 0, -9483411, -11240741806]$ |
\(y^2=x^3-9483411x-11240741806\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 16.48.0.z.2, $\ldots$ |
$[]$ |
| 7056.k2 |
7056by5 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{10} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.751083$ |
$84448510979617/933897762$ |
$1.05309$ |
$6.61865$ |
$[0, 0, 0, -6449331, 6243532274]$ |
\(y^2=x^3-6449331x+6243532274\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 48.96.0-8.p.1.4, 84.12.0.?, $\ldots$ |
$[]$ |
| 7056.k3 |
7056by4 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$2.404510$ |
$124475734657/63011844$ |
$1.06499$ |
$5.88292$ |
$[0, 0, 0, -733971, -85657390]$ |
\(y^2=x^3-733971x-85657390\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 24.96.0-8.f.1.4, 56.96.1.bp.2, $\ldots$ |
$[]$ |
| 7056.k4 |
7056by2 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$2.057938$ |
$65597103937/63504$ |
$1.01692$ |
$5.81063$ |
$[0, 0, 0, -592851, -175550830]$ |
\(y^2=x^3-592851x-175550830\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 12.24.0-4.b.1.2, 24.96.0-8.i.1.6, $\ldots$ |
$[]$ |
| 7056.k5 |
7056by1 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{20} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.711363$ |
$-7189057/16128$ |
$0.98224$ |
$4.96042$ |
$[0, 0, 0, -28371, -4061806]$ |
\(y^2=x^3-28371x-4061806\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
| 7056.k6 |
7056by6 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{22} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.751083$ |
$6359387729183/4218578658$ |
$1.08314$ |
$6.32681$ |
$[0, 0, 0, 2723469, -661666894]$ |
\(y^2=x^3+2723469x-661666894\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 24.48.0-8.k.1.4, $\ldots$ |
$[]$ |
| 7056.l1 |
7056i2 |
7056.l |
7056i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.395962$ |
$21882096/7$ |
$1.20928$ |
$4.96628$ |
$[0, 0, 0, -48951, -4167450]$ |
\(y^2=x^3-48951x-4167450\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 7056.l2 |
7056i1 |
7056.l |
7056i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.049389$ |
$-55296/49$ |
$1.17572$ |
$4.08330$ |
$[0, 0, 0, -2646, -83349]$ |
\(y^2=x^3-2646x-83349\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 7056.m1 |
7056bw2 |
7056.m |
7056bw |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{19} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$1092$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$24960$ |
$1.679840$ |
$-1713910976512/1594323$ |
$1.10592$ |
$5.30068$ |
$[0, 0, 0, -131376, 18343024]$ |
\(y^2=x^3-131376x+18343024\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.84.2.?, 364.168.2.?, $\ldots$ |
$[]$ |
| 7056.m2 |
7056bw1 |
7056.m |
7056bw |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$1092$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.397366$ |
$-28672/3$ |
$0.91239$ |
$3.29862$ |
$[0, 0, 0, -336, -2576]$ |
\(y^2=x^3-336x-2576\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.84.2.?, 364.168.2.?, $\ldots$ |
$[]$ |
| 7056.n1 |
7056bv2 |
7056.n |
7056bv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.396481$ |
$109744/9$ |
$0.87899$ |
$4.65557$ |
$[0, 0, 0, -19551, -974806]$ |
\(y^2=x^3-19551x-974806\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 7056.n2 |
7056bv1 |
7056.n |
7056bv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$1.049908$ |
$16384/3$ |
$1.03704$ |
$4.12808$ |
$[0, 0, 0, -4116, 84035]$ |
\(y^2=x^3-4116x+84035\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 7056.o1 |
7056bu1 |
7056.o |
7056bu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.779987$ |
$401408/243$ |
$1.33755$ |
$5.02150$ |
$[0, 0, 0, 57624, 1142876]$ |
\(y^2=x^3+57624x+1142876\) |
6.2.0.a.1 |
$[]$ |
| 7056.p1 |
7056bx5 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.179 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$2.289616$ |
$53297461115137/147$ |
$1.05087$ |
$6.56671$ |
$[0, 0, 0, -5532051, 5008150546]$ |
\(y^2=x^3-5532051x+5008150546\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0.h.1, 16.48.0-16.e.2.14, $\ldots$ |
$[]$ |
| 7056.p2 |
7056bx4 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.100 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.943041$ |
$13027640977/21609$ |
$1.08149$ |
$5.62822$ |
$[0, 0, 0, -345891, 78186850]$ |
\(y^2=x^3-345891x+78186850\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.7, 12.24.0.c.1, 24.96.0-24.j.2.16, $\ldots$ |
$[]$ |
| 7056.p3 |
7056bx3 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.103 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.943041$ |
$6570725617/45927$ |
$1.00160$ |
$5.55098$ |
$[0, 0, 0, -275331, -55270334]$ |
\(y^2=x^3-275331x-55270334\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0-8.bb.1.1, $\ldots$ |
$[]$ |
| 7056.p4 |
7056bx6 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.130 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$2.289616$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.73727$ |
$[0, 0, 0, -240051, 126936754]$ |
\(y^2=x^3-240051x+126936754\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 7056.p5 |
7056bx2 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.87 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.596466$ |
$7189057/3969$ |
$1.14862$ |
$4.78162$ |
$[0, 0, 0, -28371, 394450]$ |
\(y^2=x^3-28371x+394450\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.9, 12.24.0-4.b.1.2, 24.96.0-24.w.2.16, $\ldots$ |
$[]$ |
| 7056.p6 |
7056bx1 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.157 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.249893$ |
$103823/63$ |
$0.97868$ |
$4.30342$ |
$[0, 0, 0, 6909, 48706]$ |
\(y^2=x^3+6909x+48706\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
| 7056.q1 |
7056z5 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$336$ |
$192$ |
$1$ |
$0.645289777$ |
$1$ |
|
$9$ |
$24576$ |
$1.570057$ |
$3065617154/9$ |
$1.21059$ |
$5.38673$ |
$[0, 0, 0, -169491, 26857586]$ |
\(y^2=x^3-169491x+26857586\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[(245, 196)]$ |
| 7056.q2 |
7056z3 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$336$ |
$192$ |
$1$ |
$5.162318219$ |
$1$ |
|
$1$ |
$12288$ |
$1.223482$ |
$28756228/3$ |
$1.05617$ |
$4.78162$ |
$[0, 0, 0, -28371, -1839166]$ |
\(y^2=x^3-28371x-1839166\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(833/2, 9065/2)]$ |
| 7056.q3 |
7056z4 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$1.290579554$ |
$1$ |
|
$13$ |
$12288$ |
$1.223482$ |
$1556068/81$ |
$1.03212$ |
$4.45248$ |
$[0, 0, 0, -10731, 408170]$ |
\(y^2=x^3-10731x+408170\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 56.96.0-8.e.2.4, $\ldots$ |
$[(77, 196)]$ |
| 7056.q4 |
7056z2 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$168$ |
$192$ |
$1$ |
$2.581159109$ |
$1$ |
|
$7$ |
$6144$ |
$0.876909$ |
$35152/9$ |
$0.97255$ |
$3.86833$ |
$[0, 0, 0, -1911, -24010]$ |
\(y^2=x^3-1911x-24010\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(-26, 90)]$ |
| 7056.q5 |
7056z1 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$336$ |
$192$ |
$1$ |
$1.290579554$ |
$1$ |
|
$3$ |
$3072$ |
$0.530335$ |
$2048/3$ |
$1.17572$ |
$3.28274$ |
$[0, 0, 0, 294, -2401]$ |
\(y^2=x^3+294x-2401\) |
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, $\ldots$ |
$[(91, 882)]$ |
| 7056.q6 |
7056z6 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$336$ |
$192$ |
$1$ |
$2.581159109$ |
$1$ |
|
$5$ |
$24576$ |
$1.570057$ |
$207646/6561$ |
$1.15980$ |
$4.75272$ |
$[0, 0, 0, 6909, 1618274]$ |
\(y^2=x^3+6909x+1618274\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 84.12.0.?, $\ldots$ |
$[(-49, 1078)]$ |
| 7056.r1 |
7056b1 |
7056.r |
7056b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$0.806609760$ |
$1$ |
|
$6$ |
$5760$ |
$0.817761$ |
$-2646$ |
$1.17572$ |
$3.80056$ |
$[0, 0, 0, -1323, -23814]$ |
\(y^2=x^3-1323x-23814\) |
24.2.0.b.1 |
$[(63, 378)]$ |
| 7056.s1 |
7056s1 |
7056.s |
7056s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$84$ |
$12$ |
$0$ |
$1.317318977$ |
$1$ |
|
$2$ |
$672$ |
$-0.105056$ |
$48384$ |
$0.89152$ |
$2.71316$ |
$[0, 0, 0, -63, 189]$ |
\(y^2=x^3-63x+189\) |
2.2.0.a.1, 14.6.0.a.1, 84.12.0.? |
$[(4, 1)]$ |
| 7056.t1 |
7056t1 |
7056.t |
7056t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.557477620$ |
$1$ |
|
$4$ |
$3840$ |
$0.649726$ |
$68782/243$ |
$0.97191$ |
$3.48435$ |
$[0, 0, 0, 357, 5866]$ |
\(y^2=x^3+357x+5866\) |
24.2.0.b.1 |
$[(23, 162)]$ |
| 7056.u1 |
7056u1 |
7056.u |
7056u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$84$ |
$12$ |
$0$ |
$7.881079895$ |
$1$ |
|
$0$ |
$10080$ |
$1.145388$ |
$12544$ |
$0.83745$ |
$4.31753$ |
$[0, 0, 0, -7203, -218491]$ |
\(y^2=x^3-7203x-218491\) |
2.2.0.a.1, 14.6.0.a.1, 84.12.0.? |
$[(-1900/7, 17179/7)]$ |
| 7056.v1 |
7056f1 |
7056.v |
7056f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13440$ |
$1.241409$ |
$-2646$ |
$1.17572$ |
$4.37425$ |
$[0, 0, 0, -7203, -302526]$ |
\(y^2=x^3-7203x-302526\) |
24.2.0.b.1 |
$[]$ |
| 7056.w1 |
7056bk2 |
7056.w |
7056bk |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{13} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$168$ |
$96$ |
$2$ |
$2.254223164$ |
$1$ |
|
$2$ |
$112896$ |
$2.349884$ |
$-6329617441/279936$ |
$1.03234$ |
$5.99425$ |
$[0, 0, 0, -995043, -396371486]$ |
\(y^2=x^3-995043x-396371486\) |
7.24.0.a.1, 24.2.0.b.1, 56.48.0-7.a.1.8, 84.48.0.?, 168.96.2.? |
$[(4655, 309582)]$ |
| 7056.w2 |
7056bk1 |
7056.w |
7056bk |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$168$ |
$96$ |
$2$ |
$0.322031880$ |
$1$ |
|
$8$ |
$16128$ |
$1.376930$ |
$-2401/6$ |
$1.11692$ |
$4.50611$ |
$[0, 0, 0, -7203, 542626]$ |
\(y^2=x^3-7203x+542626\) |
7.24.0.a.2, 24.2.0.b.1, 56.48.0-7.a.2.8, 84.48.0.?, 168.96.2.? |
$[(-49, 882)]$ |
| 7056.x1 |
7056br4 |
7056.x |
7056br |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.937071$ |
$2640279346000/3087$ |
$1.02245$ |
$5.91474$ |
$[0, 0, 0, -806295, 278668978]$ |
\(y^2=x^3-806295x+278668978\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.j.1.1, 28.6.0.a.1, $\ldots$ |
$[]$ |
