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 |
156816.a1 |
156816co1 |
156816.a |
156816co |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.360731862$ |
$1$ |
|
$20$ |
$338688$ |
$1.045013$ |
$2178$ |
$0.82699$ |
$3.00000$ |
$[0, 0, 0, -3267, -32670]$ |
\(y^2=x^3-3267x-32670\) |
8.2.0.b.1 |
$[(-33, 198), (165, 1980)]$ |
156816.b1 |
156816k1 |
156816.b |
156816k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.434885252$ |
$1$ |
|
$6$ |
$1451520$ |
$1.744148$ |
$-9/22$ |
$0.99817$ |
$3.69789$ |
$[0, 0, 0, -3267, 4671810]$ |
\(y^2=x^3-3267x+4671810\) |
88.2.0.? |
$[(-33, 2178)]$ |
156816.c1 |
156816cp1 |
156816.c |
156816cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3725568$ |
$2.243961$ |
$2178$ |
$0.82699$ |
$4.20267$ |
$[0, 0, 0, -395307, 43483770]$ |
\(y^2=x^3-395307x+43483770\) |
8.2.0.b.1 |
$[ ]$ |
156816.d1 |
156816cq1 |
156816.d |
156816cq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$0.685334$ |
$18432/11$ |
$0.83456$ |
$2.62281$ |
$[0, 0, 0, 726, 1331]$ |
\(y^2=x^3+726x+1331\) |
22.2.0.a.1 |
$[ ]$ |
156816.e1 |
156816cr1 |
156816.e |
156816cr |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$2.198296$ |
$-32856228/14641$ |
$0.89839$ |
$4.19496$ |
$[0, 0, 0, -316899, -91351854]$ |
\(y^2=x^3-316899x-91351854\) |
4.8.0.b.1, 132.16.0.? |
$[ ]$ |
156816.f1 |
156816l2 |
156816.f |
156816l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$11.16301436$ |
$1$ |
|
$0$ |
$2021760$ |
$2.089516$ |
$-7077888/11$ |
$1.06665$ |
$4.31868$ |
$[0, 0, 0, -627264, -191472336]$ |
\(y^2=x^3-627264x-191472336\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(1053217/28, 818510671/28)]$ |
156816.f2 |
156816l1 |
156816.f |
156816l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$3.721004787$ |
$1$ |
|
$0$ |
$673920$ |
$1.540209$ |
$294912/1331$ |
$1.00304$ |
$3.47834$ |
$[0, 0, 0, 11616, -1256464]$ |
\(y^2=x^3+11616x-1256464\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(1265/4, 25289/4)]$ |
156816.g1 |
156816m1 |
156816.g |
156816m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$132$ |
$128$ |
$1$ |
$1.270460440$ |
$1$ |
|
$4$ |
$414720$ |
$1.294289$ |
$-35937/4$ |
$1.00607$ |
$3.34054$ |
$[0, 0, 0, -11979, 551034]$ |
\(y^2=x^3-11979x+551034\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 66.8.0-3.a.1.1, 132.128.1.? |
$[(55, 242)]$ |
156816.g2 |
156816m2 |
156816.g |
156816m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$132$ |
$128$ |
$1$ |
$3.811381322$ |
$1$ |
|
$2$ |
$1244160$ |
$1.843594$ |
$109503/64$ |
$1.28549$ |
$3.78631$ |
$[0, 0, 0, 75141, -790614]$ |
\(y^2=x^3+75141x-790614\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 66.8.0-3.a.1.2, 132.128.1.? |
$[(847, 25894)]$ |
156816.h1 |
156816n2 |
156816.h |
156816n |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$12$ |
$32$ |
$0$ |
$2.711544191$ |
$1$ |
|
$2$ |
$3421440$ |
$2.416203$ |
$-121279257/4$ |
$0.96167$ |
$4.77318$ |
$[0, 0, 0, -3845259, 2902343994]$ |
\(y^2=x^3-3845259x+2902343994\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 12.32.0-12.b.1.1 |
$[(1210, 4598)]$ |
156816.h2 |
156816n1 |
156816.h |
156816n |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$12$ |
$32$ |
$0$ |
$8.134632575$ |
$1$ |
|
$0$ |
$1140480$ |
$1.866898$ |
$-297/64$ |
$1.06665$ |
$3.82091$ |
$[0, 0, 0, -11979, 9750906]$ |
\(y^2=x^3-11979x+9750906\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.32.0-12.b.2.1 |
$[(-1814/3, 53846/3)]$ |
156816.i1 |
156816a2 |
156816.i |
156816a |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$396$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$291600$ |
$1.253901$ |
$790272$ |
$0.98305$ |
$3.48799$ |
$[0, 0, 0, -22869, -1329669]$ |
\(y^2=x^3-22869x-1329669\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 18.24.0.a.1, $\ldots$ |
$[ ]$ |
156816.i2 |
156816a1 |
156816.i |
156816a |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$396$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$97200$ |
$0.704595$ |
$6912$ |
$0.77371$ |
$2.72449$ |
$[0, 0, 0, -1089, 11979]$ |
\(y^2=x^3-1089x+11979\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 18.24.0.a.1, $\ldots$ |
$[ ]$ |
156816.j1 |
156816o1 |
156816.j |
156816o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.2.0.1, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$1320$ |
$160$ |
$4$ |
$2.222961183$ |
$1$ |
|
$2$ |
$155520$ |
$0.894388$ |
$-316368$ |
$0.93828$ |
$3.09267$ |
$[0, 0, 0, -4719, 125114]$ |
\(y^2=x^3-4719x+125114\) |
3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.8.0.a.1, 15.20.1.a.1, $\ldots$ |
$[(110, 968)]$ |
156816.j2 |
156816o2 |
156816.j |
156816o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.2.0.1, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$1320$ |
$160$ |
$4$ |
$6.668883550$ |
$1$ |
|
$0$ |
$466560$ |
$1.443695$ |
$432$ |
$0.77371$ |
$3.36734$ |
$[0, 0, 0, 9801, 646866]$ |
\(y^2=x^3+9801x+646866\) |
3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.8.0.a.1, 15.20.1.a.1, $\ldots$ |
$[(3718/7, 463672/7)]$ |
156816.k1 |
156816p2 |
156816.k |
156816p |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$18.58584044$ |
$1$ |
|
$0$ |
$311040$ |
$1.217255$ |
$-121279257/4$ |
$0.96167$ |
$3.57051$ |
$[0, 0, 0, -31779, -2180574]$ |
\(y^2=x^3-31779x-2180574\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.1, 66.8.0-3.a.1.2, 132.32.0.? |
$[(97576846/445, 889112816144/445)]$ |
156816.k2 |
156816p1 |
156816.k |
156816p |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$6.195280147$ |
$1$ |
|
$2$ |
$103680$ |
$0.667949$ |
$-297/64$ |
$1.06665$ |
$2.61824$ |
$[0, 0, 0, -99, -7326]$ |
\(y^2=x^3-99x-7326\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 66.8.0-3.a.1.1, 132.32.0.? |
$[(478, 10448)]$ |
156816.l1 |
156816q1 |
156816.l |
156816q |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 11^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$15.04180116$ |
$1$ |
|
$0$ |
$34836480$ |
$3.625965$ |
$-147628726527709705833/7256313856$ |
$1.07755$ |
$6.14744$ |
$[0, 0, 0, -922322379, 10781327821946]$ |
\(y^2=x^3-922322379x+10781327821946\) |
3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.8.0.a.1, 24.16.0-12.a.1.3, $\ldots$ |
$[(1010919239/241, 412630800142/241)]$ |
156816.l2 |
156816q2 |
156816.l |
156816q |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{48} \cdot 3^{12} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$45.12540350$ |
$1$ |
|
$0$ |
$104509440$ |
$4.175270$ |
$-17089180699359033/8315056685056$ |
$1.07250$ |
$6.17545$ |
$[0, 0, 0, -841504059, 12747781146474]$ |
\(y^2=x^3-841504059x+12747781146474\) |
3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.8.0.a.1, 24.16.0-12.a.1.3, $\ldots$ |
$[(861747029934213983263/32872159, 25280615823450781046813248442138/32872159)]$ |
156816.m1 |
156816r1 |
156816.m |
156816r |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$3.064561637$ |
$1$ |
|
$2$ |
$362880$ |
$1.265566$ |
$-7469088768/11$ |
$1.02429$ |
$3.70217$ |
$[0, 0, 0, -53724, 4792931]$ |
\(y^2=x^3-53724x+4792931\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(137, 64)]$ |
156816.m2 |
156816r2 |
156816.m |
156816r |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{12} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$9.193684913$ |
$1$ |
|
$0$ |
$1088640$ |
$1.814873$ |
$-442368/1331$ |
$1.00607$ |
$3.77566$ |
$[0, 0, 0, -39204, 7438959]$ |
\(y^2=x^3-39204x+7438959\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(-5771/5, 255808/5)]$ |
156816.n1 |
156816b2 |
156816.n |
156816b |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.223759$ |
$-8214057/5324$ |
$0.90460$ |
$4.21004$ |
$[0, 0, 0, -316899, -99976734]$ |
\(y^2=x^3-316899x-99976734\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[ ]$ |
156816.n2 |
156816b1 |
156816.n |
156816b |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.674452$ |
$658503/704$ |
$0.89478$ |
$3.56893$ |
$[0, 0, 0, 31581, 1988514]$ |
\(y^2=x^3+31581x+1988514\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[ ]$ |
156816.o1 |
156816s1 |
156816.o |
156816s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{29} \cdot 3^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.735998972$ |
$1$ |
|
$4$ |
$822528$ |
$1.524752$ |
$3326841350217/131072$ |
$1.04100$ |
$3.87375$ |
$[0, 0, 0, -106491, 13375274]$ |
\(y^2=x^3-106491x+13375274\) |
8.2.0.b.1 |
$[(269, 2048)]$ |
156816.p1 |
156816cs1 |
156816.p |
156816cs |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$88$ |
$2$ |
$0$ |
$2.526705034$ |
$1$ |
|
$2$ |
$186624$ |
$1.014526$ |
$-54$ |
$0.83456$ |
$2.96645$ |
$[0, 0, 0, -891, -58806]$ |
\(y^2=x^3-891x-58806\) |
88.2.0.? |
$[(55, 242)]$ |
156816.q1 |
156816t1 |
156816.q |
156816t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$1.012638021$ |
$1$ |
|
$2$ |
$483840$ |
$1.494781$ |
$-103938508377/16$ |
$1.05802$ |
$3.98492$ |
$[0, 0, 0, -165891, 26006530]$ |
\(y^2=x^3-165891x+26006530\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[(231, 110)]$ |
156816.r1 |
156816u1 |
156816.r |
156816u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$88$ |
$4$ |
$0$ |
$3.232240664$ |
$1$ |
|
$2$ |
$124416$ |
$0.877595$ |
$-297$ |
$0.74451$ |
$2.83463$ |
$[0, 0, 0, -891, 26730]$ |
\(y^2=x^3-891x+26730\) |
4.2.0.a.1, 88.4.0.? |
$[(31, 170)]$ |
156816.s1 |
156816v1 |
156816.s |
156816v |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$9.507642270$ |
$1$ |
|
$0$ |
$1368576$ |
$2.076542$ |
$-297$ |
$0.74451$ |
$4.03731$ |
$[0, 0, 0, -107811, -35577630]$ |
\(y^2=x^3-107811x-35577630\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[(424831/31, 52916930/31)]$ |
156816.t1 |
156816w1 |
156816.t |
156816w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$88$ |
$4$ |
$0$ |
$87.83812902$ |
$1$ |
|
$0$ |
$5322240$ |
$2.693729$ |
$-103938508377/16$ |
$1.05802$ |
$5.18759$ |
$[0, 0, 0, -20072811, -34614691430]$ |
\(y^2=x^3-20072811x-34614691430\) |
4.2.0.a.1, 88.4.0.? |
$[(189347615803502455769651268399398488671/188193974427090449, 695201477518407697465725136343732527942612342508957956130/188193974427090449)]$ |
156816.u1 |
156816x1 |
156816.u |
156816x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$12.63061740$ |
$1$ |
|
$0$ |
$1296000$ |
$1.930969$ |
$-110592/11$ |
$0.74451$ |
$3.98407$ |
$[0, 0, 0, -156816, -25874640]$ |
\(y^2=x^3-156816x-25874640\) |
22.2.0.a.1 |
$[(4282729/89, 4853441285/89)]$ |
156816.v1 |
156816y1 |
156816.v |
156816y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$9.878622513$ |
$1$ |
|
$0$ |
$950400$ |
$1.705330$ |
$73728/161051$ |
$1.21936$ |
$3.65891$ |
$[0, 0, 0, 2904, -3700180]$ |
\(y^2=x^3+2904x-3700180\) |
22.2.0.a.1 |
$[(376178/23, 230197418/23)]$ |
156816.w1 |
156816ct1 |
156816.w |
156816ct |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$88$ |
$2$ |
$0$ |
$4.129407819$ |
$1$ |
|
$2$ |
$2052864$ |
$2.213474$ |
$-54$ |
$0.83456$ |
$4.16912$ |
$[0, 0, 0, -107811, 78270786]$ |
\(y^2=x^3-107811x+78270786\) |
88.2.0.? |
$[(7381, 633556)]$ |
156816.x1 |
156816z1 |
156816.x |
156816z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{29} \cdot 3^{4} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$53.32729366$ |
$1$ |
|
$0$ |
$9047808$ |
$2.723701$ |
$3326841350217/131072$ |
$1.04100$ |
$5.07643$ |
$[0, 0, 0, -12885411, -17802489694]$ |
\(y^2=x^3-12885411x-17802489694\) |
8.2.0.b.1 |
$[(-855125381339101015744279/20303504546, 6393047927301002127468878708569699/20303504546)]$ |
156816.y1 |
156816c1 |
156816.y |
156816c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{28} \cdot 3^{10} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$2.717155$ |
$-29711638521/720896$ |
$0.97703$ |
$4.83557$ |
$[0, 0, 0, -4864563, 4215338226]$ |
\(y^2=x^3-4864563x+4215338226\) |
22.2.0.a.1 |
$[ ]$ |
156816.z1 |
156816ba1 |
156816.z |
156816ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$5.836368219$ |
$1$ |
|
$0$ |
$570240$ |
$1.665228$ |
$1584$ |
$0.59311$ |
$3.60134$ |
$[0, 0, 0, 35937, -790614]$ |
\(y^2=x^3+35937x-790614\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(3025/6, 362879/6)]$ |
156816.ba1 |
156816cu1 |
156816.ba |
156816cu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$396$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57120$ |
$0.492360$ |
$2304$ |
$0.77371$ |
$2.44899$ |
$[0, 0, 0, -363, -1331]$ |
\(y^2=x^3-363x-1331\) |
2.2.0.a.1, 18.6.0.a.1, 44.4.0-2.a.1.1, 396.12.0.? |
$[ ]$ |
156816.bb1 |
156816bb1 |
156816.bb |
156816bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1.246666058$ |
$1$ |
|
$4$ |
$552960$ |
$1.525454$ |
$59319/121$ |
$0.85154$ |
$3.44514$ |
$[0, 0, 0, 14157, 1030194]$ |
\(y^2=x^3+14157x+1030194\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(-33, 726)]$ |
156816.bc1 |
156816cv1 |
156816.bc |
156816cv |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.019152627$ |
$1$ |
|
$10$ |
$138240$ |
$1.021788$ |
$-36/11$ |
$0.85609$ |
$2.97319$ |
$[0, 0, 0, -363, 61226]$ |
\(y^2=x^3-363x+61226\) |
22.2.0.a.1 |
$[(11, 242), (-143/3, 6776/3)]$ |
156816.bd1 |
156816cg1 |
156816.bd |
156816cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$266112$ |
$1.375021$ |
$-55296$ |
$0.83456$ |
$3.50223$ |
$[0, 0, 0, -23958, 1449459]$ |
\(y^2=x^3-23958x+1449459\) |
22.2.0.a.1 |
$[ ]$ |
156816.be1 |
156816bc1 |
156816.be |
156816bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{20} \cdot 3^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$7.880998516$ |
$1$ |
|
$2$ |
$3317760$ |
$2.456409$ |
$-1332323001/30976$ |
$1.12542$ |
$4.57591$ |
$[0, 0, 0, -1728243, 891884466]$ |
\(y^2=x^3-1728243x+891884466\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(58135, 14013494)]$ |
156816.bf1 |
156816cw1 |
156816.bf |
156816cw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{10} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$36.87161788$ |
$1$ |
|
$4$ |
$684288$ |
$1.661766$ |
$-4356$ |
$0.75947$ |
$3.67959$ |
$[0, 0, 0, -43923, -4187326]$ |
\(y^2=x^3-43923x-4187326\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[(587, 13126), (947, 28346)]$ |
156816.bg1 |
156816ch1 |
156816.bg |
156816ch |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1140480$ |
$1.857685$ |
$144$ |
$0.59311$ |
$3.80178$ |
$[0, 0, 0, 35937, -8696754]$ |
\(y^2=x^3+35937x-8696754\) |
22.2.0.a.1 |
$[ ]$ |
156816.bh1 |
156816ci1 |
156816.bh |
156816ci |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$3.522975036$ |
$1$ |
|
$0$ |
$449280$ |
$1.470226$ |
$-9216/11$ |
$0.63431$ |
$3.44121$ |
$[0, 0, 0, -13068, 1006236]$ |
\(y^2=x^3-13068x+1006236\) |
22.2.0.a.1 |
$[(-143/2, 9559/2)]$ |
156816.bi1 |
156816cx1 |
156816.bi |
156816cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
4.8.0.2, 5.5.0.1 |
5S4 |
$220$ |
$80$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$0.823288$ |
$-36$ |
$1.04124$ |
$2.77431$ |
$[0, 0, 0, -363, 18634]$ |
\(y^2=x^3-363x+18634\) |
4.8.0.b.1, 5.5.0.a.1, 20.40.2.b.1, 44.16.0-4.b.1.1, 220.80.2.? |
$[ ]$ |
156816.bj1 |
156816cj1 |
156816.bj |
156816cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$22$ |
$2$ |
$0$ |
$3.497748584$ |
$1$ |
|
$6$ |
$103680$ |
$0.658738$ |
$144$ |
$0.59311$ |
$2.59911$ |
$[0, 0, 0, 297, 6534]$ |
\(y^2=x^3+297x+6534\) |
22.2.0.a.1 |
$[(-11, 44), (22, 154)]$ |
156816.bk1 |
156816cy1 |
156816.bk |
156816cy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$1.457616752$ |
$1$ |
|
$6$ |
$62208$ |
$0.462818$ |
$-4356$ |
$0.75947$ |
$2.47692$ |
$[0, 0, 0, -363, 3146]$ |
\(y^2=x^3-363x+3146\) |
4.4.0-4.a.1.1 |
$[(11, 22), (187/3, 1826/3)]$ |
156816.bl1 |
156816ck1 |
156816.bl |
156816ck |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$0.176074$ |
$-55296$ |
$0.83456$ |
$2.29955$ |
$[0, 0, 0, -198, -1089]$ |
\(y^2=x^3-198x-1089\) |
22.2.0.a.1 |
$[ ]$ |
156816.bm1 |
156816d1 |
156816.bm |
156816d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$362880$ |
$1.294014$ |
$-147456/11$ |
$0.80685$ |
$3.35779$ |
$[0, 0, 0, -13068, -610929]$ |
\(y^2=x^3-13068x-610929\) |
22.2.0.a.1 |
$[ ]$ |
156816.bn1 |
156816bd1 |
156816.bn |
156816bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$264$ |
$4$ |
$0$ |
$9.111068001$ |
$1$ |
|
$0$ |
$51840$ |
$0.466281$ |
$1584$ |
$0.59311$ |
$2.39866$ |
$[0, 0, 0, 297, 594]$ |
\(y^2=x^3+297x+594\) |
4.2.0.a.1, 264.4.0.? |
$[(433/22, 312337/22)]$ |
156816.bo1 |
156816e1 |
156816.bo |
156816e |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$2772$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.546543$ |
$-8120601/11$ |
$0.89141$ |
$3.77913$ |
$[0, 0, 0, -72963, -7594686]$ |
\(y^2=x^3-72963x-7594686\) |
7.8.0.a.1, 22.2.0.a.1, 63.24.0.b.2, 84.16.0.?, 154.16.0.?, $\ldots$ |
$[ ]$ |