| 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 |
| 356928.a1 |
356928a1 |
356928.a |
356928a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$4.755672077$ |
$1$ |
|
$3$ |
$829440$ |
$1.063974$ |
$1906624/33$ |
$0.85378$ |
$2.98533$ |
$[0, -1, 0, -6985, -218999]$ |
\(y^2=x^3-x^2-6985x-218999\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(281, 4464)]$ |
| 356928.a2 |
356928a2 |
356928.a |
356928a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$2.377836038$ |
$1$ |
|
$5$ |
$1658880$ |
$1.410547$ |
$-8/1089$ |
$1.19226$ |
$3.14695$ |
$[0, -1, 0, -225, -631359]$ |
\(y^2=x^3-x^2-225x-631359\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(109, 792)]$ |
| 356928.b1 |
356928b3 |
356928.b |
356928b |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{20} \cdot 3 \cdot 11^{5} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$17160$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$41472000$ |
$3.070049$ |
$112763292123580561/1932612$ |
$1.06379$ |
$5.25060$ |
$[0, -1, 0, -108863265, -437153634399]$ |
\(y^2=x^3-x^2-108863265x-437153634399\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 40.72.1.t.1, $\ldots$ |
$[]$ |
| 356928.b2 |
356928b4 |
356928.b |
356928b |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{2} \cdot 11^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$17160$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$82944000$ |
$3.416622$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$5.25092$ |
$[0, -1, 0, -108755105, -438065747679]$ |
\(y^2=x^3-x^2-108755105x-438065747679\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 40.72.1.c.2, $\ldots$ |
$[]$ |
| 356928.b3 |
356928b1 |
356928.b |
356928b |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{28} \cdot 3^{5} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$17160$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$8294400$ |
$2.265331$ |
$10091699281/2737152$ |
$1.07340$ |
$3.98124$ |
$[0, -1, 0, -486945, 95495841]$ |
\(y^2=x^3-x^2-486945x+95495841\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 40.72.1.t.2, $\ldots$ |
$[]$ |
| 356928.b4 |
356928b2 |
356928.b |
356928b |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{10} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$17160$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$16588800$ |
$2.611904$ |
$168105213359/228637728$ |
$1.10021$ |
$4.22474$ |
$[0, -1, 0, 1243615, 619855521]$ |
\(y^2=x^3-x^2+1243615x+619855521\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 40.72.1.c.1, $\ldots$ |
$[]$ |
| 356928.c1 |
356928c1 |
356928.c |
356928c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$5.856305648$ |
$1$ |
|
$1$ |
$3440640$ |
$1.640984$ |
$36462258496/4969107$ |
$0.88705$ |
$3.43114$ |
$[0, -1, 0, -46700, 3411966]$ |
\(y^2=x^3-x^2-46700x+3411966\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(-1439/8, 1080079/8)]$ |
| 356928.c2 |
356928c2 |
356928.c |
356928c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$2.928152824$ |
$1$ |
|
$3$ |
$6881280$ |
$1.987556$ |
$2279122496/8444007$ |
$0.89950$ |
$3.67151$ |
$[0, -1, 0, 74135, 18033001]$ |
\(y^2=x^3-x^2+74135x+18033001\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(1101, 37856)]$ |
| 356928.d1 |
356928d2 |
356928.d |
356928d |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{2} \cdot 11^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$5.783470792$ |
$1$ |
|
$2$ |
$23224320$ |
$2.690681$ |
$-25979045828113/52635726$ |
$0.95062$ |
$4.59576$ |
$[0, -1, 0, -6673697, -6645251679]$ |
\(y^2=x^3-x^2-6673697x-6645251679\) |
3.4.0.a.1, 66.8.0-3.a.1.2, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(13139, 1474356)]$ |
| 356928.d2 |
356928d1 |
356928.d |
356928d |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$1.927823597$ |
$1$ |
|
$2$ |
$7741440$ |
$2.141376$ |
$241804367/833976$ |
$0.89201$ |
$3.81465$ |
$[0, -1, 0, 140383, -45133791]$ |
\(y^2=x^3-x^2+140383x-45133791\) |
3.4.0.a.1, 66.8.0-3.a.1.1, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(659, 18252)]$ |
| 356928.e1 |
356928e2 |
356928.e |
356928e |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{27} \cdot 3 \cdot 11^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4478976$ |
$1.893221$ |
$92162208697/2044416$ |
$0.96864$ |
$3.75301$ |
$[0, -1, 0, -184097, -29753439]$ |
\(y^2=x^3-x^2-184097x-29753439\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 66.8.0-3.a.1.1, 264.16.0.? |
$[]$ |
| 356928.e2 |
356928e1 |
356928.e |
356928e |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$1.343914$ |
$154241737/2376$ |
$0.90894$ |
$3.25299$ |
$[0, -1, 0, -21857, 1234401]$ |
\(y^2=x^3-x^2-21857x+1234401\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 66.8.0-3.a.1.2, 264.16.0.? |
$[]$ |
| 356928.f1 |
356928f1 |
356928.f |
356928f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 11^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$0.644884977$ |
$1$ |
|
$4$ |
$4644864$ |
$1.949936$ |
$254527054/155727$ |
$0.89661$ |
$3.63919$ |
$[0, -1, 0, 113343, -3551679]$ |
\(y^2=x^3-x^2+113343x-3551679\) |
1144.2.0.? |
$[(321, 8112)]$ |
| 356928.g1 |
356928g1 |
356928.g |
356928g |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{17} \cdot 11^{5} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28462080$ |
$3.008278$ |
$176583875899827656/20798152391313$ |
$1.03696$ |
$4.72180$ |
$[0, -1, 0, -11432737, 13282633441]$ |
\(y^2=x^3-x^2-11432737x+13282633441\) |
264.2.0.? |
$[]$ |
| 356928.h1 |
356928h1 |
356928.h |
356928h |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{3} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7188480$ |
$2.216137$ |
$-16835377/9504$ |
$0.86143$ |
$3.93546$ |
$[0, -1, 0, -319297, 97713121]$ |
\(y^2=x^3-x^2-319297x+97713121\) |
264.2.0.? |
$[]$ |
| 356928.i1 |
356928i1 |
356928.i |
356928i |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{29} \cdot 3^{6} \cdot 11 \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$15.19345457$ |
$1$ |
|
$0$ |
$85155840$ |
$3.454636$ |
$-20699471212993/6097712265216$ |
$1.04158$ |
$5.06535$ |
$[0, -1, 0, -6186977, -133770723711]$ |
\(y^2=x^3-x^2-6186977x-133770723711\) |
1144.2.0.? |
$[(324532823/239, 1640567550024/239)]$ |
| 356928.j1 |
356928j1 |
356928.j |
356928j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3 \cdot 11^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21924864$ |
$2.878517$ |
$694248748626056/3993$ |
$0.98314$ |
$5.09106$ |
$[0, -1, 0, -55156417, 157685886721]$ |
\(y^2=x^3-x^2-55156417x+157685886721\) |
264.2.0.? |
$[]$ |
| 356928.k1 |
356928k1 |
356928.k |
356928k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1.087259390$ |
$1$ |
|
$4$ |
$267264$ |
$0.577734$ |
$23606024/297$ |
$0.81393$ |
$2.54231$ |
$[0, -1, 0, -1057, 13441]$ |
\(y^2=x^3-x^2-1057x+13441\) |
264.2.0.? |
$[(21, 8)]$ |
| 356928.l1 |
356928l1 |
356928.l |
356928l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$1.120054$ |
$-1815848/72171$ |
$0.92755$ |
$2.87424$ |
$[0, -1, 0, -1057, -110111]$ |
\(y^2=x^3-x^2-1057x-110111\) |
1144.2.0.? |
$[]$ |
| 356928.m1 |
356928m1 |
356928.m |
356928m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1225728$ |
$1.253815$ |
$16467403784/2910897$ |
$0.90914$ |
$3.05443$ |
$[0, -1, 0, -9377, -288159]$ |
\(y^2=x^3-x^2-9377x-288159\) |
264.2.0.? |
$[]$ |
| 356928.n1 |
356928n1 |
356928.n |
356928n |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{33} \cdot 3^{6} \cdot 11 \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.257120305$ |
$1$ |
|
$4$ |
$32348160$ |
$3.046356$ |
$25943020727/262766592$ |
$0.98378$ |
$4.67560$ |
$[0, -1, 0, 3688031, 11072940865]$ |
\(y^2=x^3-x^2+3688031x+11072940865\) |
88.2.0.? |
$[(42709/5, 18690048/5), (-1577, 36504)]$ |
| 356928.o1 |
356928o1 |
356928.o |
356928o |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 11 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.968184583$ |
$1$ |
|
$10$ |
$267264$ |
$0.798563$ |
$-134683016/8019$ |
$0.84468$ |
$2.68617$ |
$[0, -1, 0, -1889, 33825]$ |
\(y^2=x^3-x^2-1889x+33825\) |
88.2.0.? |
$[(-7, 216), (47, 216)]$ |
| 356928.p1 |
356928p3 |
356928.p |
356928p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{16} \cdot 3 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$3.123499103$ |
$1$ |
|
$5$ |
$2949120$ |
$1.798368$ |
$37736227588/33$ |
$0.98449$ |
$3.97597$ |
$[0, -1, 0, -476129, 126613473]$ |
\(y^2=x^3-x^2-476129x+126613473\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(403, 148)]$ |
| 356928.p2 |
356928p4 |
356928.p |
356928p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$3.123499103$ |
$1$ |
|
$5$ |
$2949120$ |
$1.798368$ |
$122657188/43923$ |
$0.95383$ |
$3.52788$ |
$[0, -1, 0, -70529, -4427775]$ |
\(y^2=x^3-x^2-70529x-4427775\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(451, 7436)]$ |
| 356928.p3 |
356928p2 |
356928.p |
356928p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$1.561749551$ |
$1$ |
|
$11$ |
$1474560$ |
$1.451796$ |
$37642192/1089$ |
$0.89513$ |
$3.32706$ |
$[0, -1, 0, -29969, 1956369]$ |
\(y^2=x^3-x^2-29969x+1956369\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 104.12.0.?, 132.24.0.?, $\ldots$ |
$[(65, 528)]$ |
| 356928.p4 |
356928p1 |
356928.p |
356928p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$3.123499103$ |
$1$ |
|
$3$ |
$737280$ |
$1.105223$ |
$2048/891$ |
$1.09261$ |
$2.86008$ |
$[0, -1, 0, 451, 100749]$ |
\(y^2=x^3-x^2+451x+100749\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(101, 1080)]$ |
| 356928.q1 |
356928q2 |
356928.q |
356928q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5160960$ |
$2.191128$ |
$174958262857/33462$ |
$0.91387$ |
$4.20438$ |
$[0, -1, 0, -1260289, -544059647]$ |
\(y^2=x^3-x^2-1260289x-544059647\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[]$ |
| 356928.q2 |
356928q1 |
356928.q |
356928q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 11^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$1.844555$ |
$-30664297/18876$ |
$0.83618$ |
$3.58455$ |
$[0, -1, 0, -70529, -10333311]$ |
\(y^2=x^3-x^2-70529x-10333311\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[]$ |
| 356928.r1 |
356928r1 |
356928.r |
356928r |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.664766052$ |
$1$ |
|
$13$ |
$331776$ |
$0.865061$ |
$212629504/88209$ |
$0.92696$ |
$2.64377$ |
$[0, -1, 0, -1629, 14013]$ |
\(y^2=x^3-x^2-1629x+14013\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-4, 143), (36, 27)]$ |
| 356928.r2 |
356928r2 |
356928.r |
356928r |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 11^{4} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.664766052$ |
$1$ |
|
$15$ |
$663552$ |
$1.211634$ |
$481283696/395307$ |
$0.90625$ |
$2.92452$ |
$[0, -1, 0, 5391, 96849]$ |
\(y^2=x^3-x^2+5391x+96849\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(5, 352), (181, 2640)]$ |
| 356928.s1 |
356928s1 |
356928.s |
356928s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.137777186$ |
$1$ |
|
$4$ |
$186624$ |
$0.565227$ |
$5537792/3267$ |
$1.08782$ |
$2.34221$ |
$[0, -1, 0, 451, 363]$ |
\(y^2=x^3-x^2+451x+363\) |
6.2.0.a.1 |
$[(22, 143), (6, 57)]$ |
| 356928.t1 |
356928t3 |
356928.t |
356928t |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$6864$ |
$192$ |
$1$ |
$1.308337263$ |
$1$ |
|
$5$ |
$22020096$ |
$2.863293$ |
$35765103905346817/1287$ |
$0.98956$ |
$5.16078$ |
$[0, -1, 0, -74241249, 246240605025]$ |
\(y^2=x^3-x^2-74241249x+246240605025\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 24.24.0-8.n.1.7, $\ldots$ |
$[(5625, 81120)]$ |
| 356928.t2 |
356928t6 |
356928.t |
356928t |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3 \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$6864$ |
$192$ |
$1$ |
$10.46669811$ |
$1$ |
|
$1$ |
$44040192$ |
$3.209866$ |
$3013001140430737/108679952667$ |
$0.97853$ |
$4.96728$ |
$[0, -1, 0, -32545569, -69189939807]$ |
\(y^2=x^3-x^2-32545569x-69189939807\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0.h.1, 24.48.0-24.bl.1.8, $\ldots$ |
$[(831419/5, 746132972/5)]$ |
| 356928.t3 |
356928t4 |
356928.t |
356928t |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 11^{4} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$3432$ |
$192$ |
$1$ |
$5.233349055$ |
$1$ |
|
$7$ |
$22020096$ |
$2.863293$ |
$11779205551777/3763454409$ |
$0.95747$ |
$4.53362$ |
$[0, -1, 0, -5127009, 2992161249]$ |
\(y^2=x^3-x^2-5127009x+2992161249\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0.c.1, 24.48.0-12.c.1.16, $\ldots$ |
$[(512, 22385)]$ |
| 356928.t4 |
356928t2 |
356928.t |
356928t |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$3432$ |
$192$ |
$1$ |
$2.616674527$ |
$1$ |
|
$9$ |
$11010048$ |
$2.516716$ |
$8732907467857/1656369$ |
$0.94339$ |
$4.51022$ |
$[0, -1, 0, -4640289, 3848301729]$ |
\(y^2=x^3-x^2-4640289x+3848301729\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.m.1.20, 88.48.0.?, $\ldots$ |
$[(681, 31680)]$ |
| 356928.t5 |
356928t1 |
356928.t |
356928t |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$6864$ |
$192$ |
$1$ |
$1.308337263$ |
$1$ |
|
$5$ |
$5505024$ |
$2.170143$ |
$-1532808577/938223$ |
$0.88405$ |
$3.89028$ |
$[0, -1, 0, -259809, 73204065]$ |
\(y^2=x^3-x^2-259809x+73204065\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 48.48.0-48.g.1.4, 88.48.0.?, $\ldots$ |
$[(-199, 10816)]$ |
| 356928.t6 |
356928t5 |
356928.t |
356928t |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{18} \cdot 3 \cdot 11^{2} \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$6864$ |
$192$ |
$1$ |
$10.46669811$ |
$1$ |
|
$3$ |
$44040192$ |
$3.209866$ |
$266679605718863/296110251723$ |
$0.98475$ |
$4.77763$ |
$[0, -1, 0, 14504031, 20373484065]$ |
\(y^2=x^3-x^2+14504031x+20373484065\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0.n.1, 12.12.0.g.1, $\ldots$ |
$[(32960, 6025265)]$ |
| 356928.u1 |
356928u1 |
356928.u |
356928u |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 11^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$8.433387458$ |
$1$ |
|
$0$ |
$5511168$ |
$2.163795$ |
$-5901506/11979$ |
$0.86029$ |
$3.86378$ |
$[0, -1, 0, -178689, -61666047]$ |
\(y^2=x^3-x^2-178689x-61666047\) |
88.2.0.? |
$[(6813/2, 540951/2)]$ |
| 356928.v1 |
356928v2 |
356928.v |
356928v |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1.922079193$ |
$1$ |
|
$3$ |
$1892352$ |
$1.707783$ |
$245314376/16731$ |
$0.81865$ |
$3.52788$ |
$[0, -1, 0, -70529, -6747807]$ |
\(y^2=x^3-x^2-70529x-6747807\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[(581, 12168)]$ |
| 356928.v2 |
356928v1 |
356928.v |
356928v |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$3.844158387$ |
$1$ |
|
$3$ |
$946176$ |
$1.361210$ |
$314432/4719$ |
$0.89440$ |
$3.09592$ |
$[0, -1, 0, 3831, -456951]$ |
\(y^2=x^3-x^2+3831x-456951\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[(259, 4224)]$ |
| 356928.w1 |
356928w4 |
356928.w |
356928w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{8} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1144$ |
$48$ |
$0$ |
$3.182902552$ |
$1$ |
|
$5$ |
$1966080$ |
$1.814268$ |
$649461896/72171$ |
$0.94560$ |
$3.60403$ |
$[0, -1, 0, -97569, -10511775]$ |
\(y^2=x^3-x^2-97569x-10511775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 52.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(-144, 729)]$ |
| 356928.w2 |
356928w2 |
356928.w |
356928w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1144$ |
$48$ |
$0$ |
$1.591451276$ |
$1$ |
|
$11$ |
$983040$ |
$1.467695$ |
$69934528/9801$ |
$0.93038$ |
$3.26708$ |
$[0, -1, 0, -23209, 1192489]$ |
\(y^2=x^3-x^2-23209x+1192489\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0.a.1, 52.12.0-2.a.1.1, 88.24.0.?, $\ldots$ |
$[(25, 792)]$ |
| 356928.w3 |
356928w1 |
356928.w |
356928w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1144$ |
$48$ |
$0$ |
$3.182902552$ |
$1$ |
|
$3$ |
$491520$ |
$1.121120$ |
$4004529472/99$ |
$0.97266$ |
$3.25838$ |
$[0, -1, 0, -22364, 1294734]$ |
\(y^2=x^3-x^2-22364x+1294734\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 44.12.0.h.1, 88.24.0.?, $\ldots$ |
$[(91, 70)]$ |
| 356928.w4 |
356928w3 |
356928.w |
356928w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1144$ |
$48$ |
$0$ |
$3.182902552$ |
$1$ |
|
$5$ |
$1966080$ |
$1.814268$ |
$37259704/131769$ |
$0.96426$ |
$3.50807$ |
$[0, -1, 0, 37631, 6339553]$ |
\(y^2=x^3-x^2+37631x+6339553\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 52.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[(48, 2873)]$ |
| 356928.x1 |
356928x5 |
356928.x |
356928x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.177 |
2B |
$2288$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.229870$ |
$29237205357427394/80023854339$ |
$0.98547$ |
$5.09081$ |
$[0, -1, 0, -55096929, 157058169345]$ |
\(y^2=x^3-x^2-55096929x+157058169345\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.f.1.10, 88.48.0.?, $\ldots$ |
$[]$ |
| 356928.x2 |
356928x3 |
356928.x |
356928x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.107 |
2Cs |
$1144$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$16515072$ |
$2.883293$ |
$39383007958948/22674035241$ |
$1.15819$ |
$4.51960$ |
$[0, -1, 0, -4829569, 294380449]$ |
\(y^2=x^3-x^2-4829569x+294380449\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.11, 88.96.0.?, 104.96.0.?, $\ldots$ |
$[]$ |
| 356928.x3 |
356928x2 |
356928.x |
356928x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.117 |
2Cs |
$1144$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$2.536720$ |
$45551779131472/200420649$ |
$1.04548$ |
$4.42255$ |
$[0, -1, 0, -3193649, -2187310191]$ |
\(y^2=x^3-x^2-3193649x-2187310191\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.12, 52.24.0.c.1, 88.96.0.?, $\ldots$ |
$[]$ |
| 356928.x4 |
356928x1 |
356928.x |
356928x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.190 |
2B |
$2288$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.190147$ |
$726516846671872/14157$ |
$0.98077$ |
$4.42231$ |
$[0, -1, 0, -3190269, -2192191587]$ |
\(y^2=x^3-x^2-3190269x-2192191587\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.f.2.13, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 356928.x5 |
356928x4 |
356928.x |
356928x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{2} \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.229 |
2B |
$2288$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16515072$ |
$2.883293$ |
$-1463944682308/25079989077$ |
$0.98022$ |
$4.52968$ |
$[0, -1, 0, -1611809, -4356645567]$ |
\(y^2=x^3-x^2-1611809x-4356645567\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.4, 52.12.0.h.1, 104.96.0.?, $\ldots$ |
$[]$ |
| 356928.x6 |
356928x6 |
356928.x |
356928x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 11 \cdot 13^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.152 |
2B |
$2288$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.229870$ |
$1249482637192606/726816072411$ |
$1.04802$ |
$4.84422$ |
$[0, -1, 0, 19263071, 2332617793]$ |
\(y^2=x^3-x^2+19263071x+2332617793\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 16.48.0-8.ba.1.3, 88.48.0.?, $\ldots$ |
$[]$ |
