| 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 |
| 21294.a1 |
21294w1 |
21294.a |
21294w |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1092$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$449280$ |
$2.136086$ |
$-1214950633/196$ |
$0.94977$ |
$5.33398$ |
$[1, -1, 0, -1033551, -404230527]$ |
\(y^2+xy=x^3-x^2-1033551x-404230527\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 39.8.0-3.a.1.2, 84.16.0.?, $\ldots$ |
$[]$ |
| 21294.a2 |
21294w2 |
21294.a |
21294w |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1092$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1347840$ |
$2.685390$ |
$17546087/7529536$ |
$1.06847$ |
$5.57173$ |
$[1, -1, 0, 251694, -1322666604]$ |
\(y^2+xy=x^3-x^2+251694x-1322666604\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 39.8.0-3.a.1.1, 84.16.0.?, $\ldots$ |
$[]$ |
| 21294.b1 |
21294v1 |
21294.b |
21294v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$399360$ |
$2.081905$ |
$-552611137/777924$ |
$0.93538$ |
$4.86392$ |
$[1, -1, 0, -143766, -38836472]$ |
\(y^2+xy=x^3-x^2-143766x-38836472\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[]$ |
| 21294.c1 |
21294f2 |
21294.c |
21294f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{9} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.518509613$ |
$1$ |
|
$2$ |
$145152$ |
$1.666117$ |
$-38958219/30758$ |
$0.86191$ |
$4.37637$ |
$[1, -1, 0, -32226, -3415762]$ |
\(y^2+xy=x^3-x^2-32226x-3415762\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 168.8.0.?, 2184.16.0.? |
$[(1999, 87979)]$ |
| 21294.c2 |
21294f1 |
21294.c |
21294f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$0.506169871$ |
$1$ |
|
$4$ |
$48384$ |
$1.116810$ |
$29503629/35672$ |
$0.86975$ |
$3.60931$ |
$[1, -1, 0, 3264, 74088]$ |
\(y^2+xy=x^3-x^2+3264x+74088\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 2184.16.0.? |
$[(-3, 255)]$ |
| 21294.d1 |
21294u1 |
21294.d |
21294u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{6} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63840$ |
$1.239277$ |
$-19983597574473/3670016$ |
$1.02843$ |
$4.24915$ |
$[1, -1, 0, -28131, 1823381]$ |
\(y^2+xy=x^3-x^2-28131x+1823381\) |
56.2.0.b.1 |
$[]$ |
| 21294.e1 |
21294h2 |
21294.e |
21294h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$4368$ |
$96$ |
$3$ |
$0.868733065$ |
$1$ |
|
$18$ |
$21504$ |
$0.741108$ |
$66282611823/38416$ |
$0.98553$ |
$3.60297$ |
$[1, -1, 0, -3288, 73360]$ |
\(y^2+xy=x^3-x^2-3288x+73360\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.1, 56.24.0.dm.1, $\ldots$ |
$[(36, 8), (32, -4)]$ |
| 21294.e2 |
21294h1 |
21294.e |
21294h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$4368$ |
$96$ |
$3$ |
$0.868733065$ |
$1$ |
|
$21$ |
$10752$ |
$0.394535$ |
$-8869743/12544$ |
$0.92157$ |
$2.83212$ |
$[1, -1, 0, -168, 1600]$ |
\(y^2+xy=x^3-x^2-168x+1600\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 28.12.0.n.1, 48.24.0.m.2, $\ldots$ |
$[(-3, 47), (11, 26)]$ |
| 21294.f1 |
21294z3 |
21294.f |
21294z |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{5} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$2.743177613$ |
$1$ |
|
$5$ |
$96000$ |
$1.632353$ |
$124318741396429/51631104$ |
$1.01214$ |
$4.68990$ |
$[1, -1, 0, -121653, -16295499]$ |
\(y^2+xy=x^3-x^2-121653x-16295499\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.1, 65.12.0.a.1, $\ldots$ |
$[(-201, 24)]$ |
| 21294.f2 |
21294z4 |
21294.f |
21294z |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 7^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$5.486355226$ |
$1$ |
|
$2$ |
$192000$ |
$1.978926$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.74528$ |
$[1, -1, 0, -102933, -21495915]$ |
\(y^2+xy=x^3-x^2-102933x-21495915\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(1047, 31377)]$ |
| 21294.f3 |
21294z1 |
21294.f |
21294z |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{11} \cdot 7 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$0.548635522$ |
$1$ |
|
$9$ |
$19200$ |
$0.827633$ |
$4649101309/6804$ |
$0.94447$ |
$3.66705$ |
$[1, -1, 0, -4068, 100764]$ |
\(y^2+xy=x^3-x^2-4068x+100764\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.2, 65.12.0.a.2, $\ldots$ |
$[(33, 24)]$ |
| 21294.f4 |
21294z2 |
21294.f |
21294z |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{16} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1.097271045$ |
$1$ |
|
$6$ |
$38400$ |
$1.174206$ |
$-1680914269/5786802$ |
$1.04977$ |
$3.75949$ |
$[1, -1, 0, -2898, 159030]$ |
\(y^2+xy=x^3-x^2-2898x+159030\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.2, 65.12.0.a.2, $\ldots$ |
$[(-3, 411)]$ |
| 21294.g1 |
21294r1 |
21294.g |
21294r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$823680$ |
$2.645939$ |
$-6468095257/3483648$ |
$0.97900$ |
$5.56775$ |
$[1, -1, 0, -1804698, -1296161996]$ |
\(y^2+xy=x^3-x^2-1804698x-1296161996\) |
168.2.0.? |
$[]$ |
| 21294.h1 |
21294ba1 |
21294.h |
21294ba |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$2.922232645$ |
$1$ |
|
$0$ |
$93600$ |
$1.447357$ |
$-226981/14$ |
$0.81013$ |
$4.22530$ |
$[1, -1, 0, -25128, 1619086]$ |
\(y^2+xy=x^3-x^2-25128x+1619086\) |
5.6.0.a.1, 65.12.0.a.2, 195.24.0.?, 280.12.0.?, 728.2.0.?, $\ldots$ |
$[(805/3, 6482/3)]$ |
| 21294.h2 |
21294ba2 |
21294.h |
21294ba |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 7^{5} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$14.61116322$ |
$1$ |
|
$0$ |
$468000$ |
$2.252075$ |
$5735339/537824$ |
$1.00587$ |
$5.04908$ |
$[1, -1, 0, 73737, -97819331]$ |
\(y^2+xy=x^3-x^2+73737x-97819331\) |
5.6.0.a.1, 65.12.0.a.1, 195.24.0.?, 280.12.0.?, 728.2.0.?, $\ldots$ |
$[(74247541/303, 604684730590/303)]$ |
| 21294.i1 |
21294bj1 |
21294.i |
21294bj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{9} \cdot 7^{5} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.129678067$ |
$1$ |
|
$8$ |
$40320$ |
$1.053698$ |
$-1223745654937/907578$ |
$0.97178$ |
$3.96900$ |
$[1, -1, 0, -11088, 452466]$ |
\(y^2+xy=x^3-x^2-11088x+452466\) |
168.2.0.? |
$[(105, 609)]$ |
| 21294.j1 |
21294n2 |
21294.j |
21294n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$4368$ |
$96$ |
$3$ |
$3.714767427$ |
$1$ |
|
$4$ |
$838656$ |
$2.572887$ |
$66282611823/38416$ |
$0.98553$ |
$5.80857$ |
$[1, -1, 0, -5001333, -4301629435]$ |
\(y^2+xy=x^3-x^2-5001333x-4301629435\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.1, 56.24.0.dm.1, $\ldots$ |
$[(-1274, 1663)]$ |
| 21294.j2 |
21294n1 |
21294.j |
21294n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$4368$ |
$96$ |
$3$ |
$7.429534855$ |
$1$ |
|
$3$ |
$419328$ |
$2.226315$ |
$-8869743/12544$ |
$0.92157$ |
$5.03772$ |
$[1, -1, 0, -255813, -92353195]$ |
\(y^2+xy=x^3-x^2-255813x-92353195\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 28.12.0.n.1, 48.24.0.m.2, $\ldots$ |
$[(6410, 508275)]$ |
| 21294.k1 |
21294bi4 |
21294.k |
21294bi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{18} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.844133971$ |
$1$ |
|
$2$ |
$516096$ |
$2.412426$ |
$828279937799497/193444524$ |
$0.98347$ |
$5.65229$ |
$[1, -1, 0, -2975868, -1974774060]$ |
\(y^2+xy=x^3-x^2-2975868x-1974774060\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.3, 84.12.0.?, $\ldots$ |
$[(11203, 1165146)]$ |
| 21294.k2 |
21294bi2 |
21294.k |
21294bi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$3.422066985$ |
$1$ |
|
$8$ |
$258048$ |
$2.065849$ |
$281397674377/96589584$ |
$0.94755$ |
$4.85085$ |
$[1, -1, 0, -207648, -23178960]$ |
\(y^2+xy=x^3-x^2-207648x-23178960\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.2, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[(556, 5468)]$ |
| 21294.k3 |
21294bi1 |
21294.k |
21294bi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.711033492$ |
$1$ |
|
$7$ |
$129024$ |
$1.719276$ |
$19968681097/628992$ |
$0.91084$ |
$4.58539$ |
$[1, -1, 0, -85968, 9455616]$ |
\(y^2+xy=x^3-x^2-85968x+9455616\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.3, $\ldots$ |
$[(144, 144)]$ |
| 21294.k4 |
21294bi3 |
21294.k |
21294bi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{4} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.711033492$ |
$1$ |
|
$6$ |
$516096$ |
$2.412426$ |
$7264187703863/7406095788$ |
$0.97845$ |
$5.17704$ |
$[1, -1, 0, 613692, -161656884]$ |
\(y^2+xy=x^3-x^2+613692x-161656884\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(790, 28166)]$ |
| 21294.l1 |
21294bh1 |
21294.l |
21294bh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 7 \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$20.08227106$ |
$1$ |
|
$0$ |
$1188096$ |
$2.752781$ |
$368728437337/2752512$ |
$0.99450$ |
$5.90743$ |
$[1, -1, 0, -6945678, -6998308524]$ |
\(y^2+xy=x^3-x^2-6945678x-6998308524\) |
168.2.0.? |
$[(-2465151375/1289, 14992303585269/1289)]$ |
| 21294.m1 |
21294bf1 |
21294.m |
21294bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{11} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.327167114$ |
$1$ |
|
$6$ |
$161280$ |
$1.849958$ |
$-141339344329/2167074$ |
$0.92745$ |
$4.78438$ |
$[1, -1, 0, -165060, 26192362]$ |
\(y^2+xy=x^3-x^2-165060x+26192362\) |
2184.2.0.? |
$[(413, 5117)]$ |
| 21294.n1 |
21294q1 |
21294.n |
21294q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7 \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$329280$ |
$2.146217$ |
$-1207949625/332678528$ |
$1.06089$ |
$4.92274$ |
$[1, -1, 0, -33747, -52101451]$ |
\(y^2+xy=x^3-x^2-33747x-52101451\) |
728.2.0.? |
$[]$ |
| 21294.o1 |
21294c2 |
21294.o |
21294c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6552$ |
$144$ |
$2$ |
$3.559200190$ |
$1$ |
|
$2$ |
$93312$ |
$1.578110$ |
$677353174875/322828856$ |
$1.02173$ |
$4.24023$ |
$[1, -1, 0, -27312, 736568]$ |
\(y^2+xy=x^3-x^2-27312x+736568\) |
3.4.0.a.1, 9.12.0.b.1, 39.8.0-3.a.1.2, 117.72.0.?, 168.8.0.?, $\ldots$ |
$[(-17, 1102)]$ |
| 21294.o2 |
21294c1 |
21294.o |
21294c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6552$ |
$144$ |
$2$ |
$1.186400063$ |
$1$ |
|
$4$ |
$31104$ |
$1.028803$ |
$280965399667875/175616$ |
$1.02205$ |
$4.18365$ |
$[1, -1, 0, -22632, 1316160]$ |
\(y^2+xy=x^3-x^2-22632x+1316160\) |
3.4.0.a.1, 9.12.0.b.1, 39.8.0-3.a.1.1, 117.72.0.?, 168.8.0.?, $\ldots$ |
$[(87, -42)]$ |
| 21294.p1 |
21294p2 |
21294.p |
21294p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.728968$ |
$673822943613625/19421724672$ |
$1.00793$ |
$4.60212$ |
$[1, -1, 0, -90882, 10302228]$ |
\(y^2+xy=x^3-x^2-90882x+10302228\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 21294.p2 |
21294p1 |
21294.p |
21294p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{7} \cdot 3^{15} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.179661$ |
$1515434103625/17635968$ |
$0.97352$ |
$3.99032$ |
$[1, -1, 0, -11907, -492075]$ |
\(y^2+xy=x^3-x^2-11907x-492075\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 21294.q1 |
21294o6 |
21294.q |
21294o |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$2.244881$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.75263$ |
$[1, -1, 0, -4153122, 3258731412]$ |
\(y^2+xy=x^3-x^2-4153122x+3258731412\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 21294.q2 |
21294o5 |
21294.q |
21294o |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$155520$ |
$1.898308$ |
$-548347731625/1835008$ |
$1.02933$ |
$4.91836$ |
$[1, -1, 0, -259362, 51051924]$ |
\(y^2+xy=x^3-x^2-259362x+51051924\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 21294.q3 |
21294o4 |
21294.q |
21294o |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$6552$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.695576$ |
$4956477625/941192$ |
$1.00821$ |
$4.44557$ |
$[1, -1, 0, -54027, 3975453]$ |
\(y^2+xy=x^3-x^2-54027x+3975453\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[]$ |
| 21294.q4 |
21294o2 |
21294.q |
21294o |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.146269$ |
$128787625/98$ |
$0.96763$ |
$4.07930$ |
$[1, -1, 0, -16002, -774630]$ |
\(y^2+xy=x^3-x^2-16002x-774630\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 21294.q5 |
21294o1 |
21294.q |
21294o |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$17280$ |
$0.799696$ |
$-15625/28$ |
$1.01712$ |
$3.31603$ |
$[1, -1, 0, -792, -17172]$ |
\(y^2+xy=x^3-x^2-792x-17172\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 21294.q6 |
21294o3 |
21294.q |
21294o |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$6552$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$51840$ |
$1.349003$ |
$9938375/21952$ |
$0.98695$ |
$3.92617$ |
$[1, -1, 0, 6813, 361557]$ |
\(y^2+xy=x^3-x^2+6813x+361557\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
| 21294.r1 |
21294a3 |
21294.r |
21294a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$13.96219067$ |
$1$ |
|
$1$ |
$290304$ |
$2.195068$ |
$3592121380875/246064$ |
$0.96478$ |
$5.43708$ |
$[1, -1, 0, -1455882, -675737308]$ |
\(y^2+xy=x^3-x^2-1455882x-675737308\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(28296304/51, 148824944494/51)]$ |
| 21294.r2 |
21294a4 |
21294.r |
21294a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$6.981095339$ |
$1$ |
|
$0$ |
$580608$ |
$2.541641$ |
$-2958077788875/946054564$ |
$0.97191$ |
$5.46174$ |
$[1, -1, 0, -1364622, -764204752]$ |
\(y^2+xy=x^3-x^2-1364622x-764204752\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 39.8.0-3.a.1.2, 78.48.0.?, $\ldots$ |
$[(13402/3, 586100/3)]$ |
| 21294.r3 |
21294a1 |
21294.r |
21294a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$4.654063559$ |
$1$ |
|
$5$ |
$96768$ |
$1.645761$ |
$40530337875/18264064$ |
$0.95791$ |
$4.32571$ |
$[1, -1, 0, -36282, 1260468]$ |
\(y^2+xy=x^3-x^2-36282x+1260468\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(33, 297)]$ |
| 21294.r4 |
21294a2 |
21294.r |
21294a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$2.327031779$ |
$1$ |
|
$6$ |
$193536$ |
$1.992336$ |
$1695802078125/1272491584$ |
$1.05976$ |
$4.70037$ |
$[1, -1, 0, 125958, 9340020]$ |
\(y^2+xy=x^3-x^2+125958x+9340020\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 39.8.0-3.a.1.1, 78.48.0.?, $\ldots$ |
$[(-68, 710)]$ |
| 21294.s1 |
21294b1 |
21294.s |
21294b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{3} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.615001082$ |
$1$ |
|
$4$ |
$1920$ |
$-0.374189$ |
$43875/14$ |
$0.93443$ |
$1.91797$ |
$[1, -1, 0, -12, 14]$ |
\(y^2+xy=x^3-x^2-12x+14\) |
168.2.0.? |
$[(1, 1)]$ |
| 21294.t1 |
21294d2 |
21294.t |
21294d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{9} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6552$ |
$144$ |
$2$ |
$94.66297962$ |
$1$ |
|
$0$ |
$9097920$ |
$3.696835$ |
$-354003515818875/20661046784$ |
$1.05531$ |
$6.93680$ |
$[1, -1, 0, -205558872, -1190140818112]$ |
\(y^2+xy=x^3-x^2-205558872x-1190140818112\) |
3.4.0.a.1, 9.12.0.b.1, 39.8.0-3.a.1.2, 117.72.0.?, 168.8.0.?, $\ldots$ |
$[(537656766679417190323241170228599391617607/4007368743216399713, 348191055629260338096505827239590196042387378981435331606849110/4007368743216399713)]$ |
| 21294.t2 |
21294d1 |
21294.t |
21294d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{27} \cdot 3^{3} \cdot 7^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6552$ |
$144$ |
$2$ |
$31.55432654$ |
$1$ |
|
$0$ |
$3032640$ |
$3.147530$ |
$77908020328125/46036680704$ |
$1.20313$ |
$6.11386$ |
$[1, -1, 0, 13789608, -2865988800]$ |
\(y^2+xy=x^3-x^2+13789608x-2865988800\) |
3.4.0.a.1, 9.12.0.b.1, 39.8.0-3.a.1.1, 117.72.0.?, 168.8.0.?, $\ldots$ |
$[(56544979314423/113623, 548653225417673687541/113623)]$ |
| 21294.u1 |
21294bc2 |
21294.u |
21294bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{7} \cdot 7^{3} \cdot 13^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1.791330823$ |
$1$ |
|
$6$ |
$48384$ |
$1.253401$ |
$531373116625/2058$ |
$0.99657$ |
$4.39990$ |
$[1, -1, 0, -46422, 3861378]$ |
\(y^2+xy=x^3-x^2-46422x+3861378\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[(123, -30)]$ |
| 21294.u2 |
21294bc1 |
21294.u |
21294bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 7 \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$0.597110274$ |
$1$ |
|
$4$ |
$16128$ |
$0.704096$ |
$2640625/1512$ |
$1.13480$ |
$3.17454$ |
$[1, -1, 0, -792, 1080]$ |
\(y^2+xy=x^3-x^2-792x+1080\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[(-3, 60)]$ |
| 21294.v1 |
21294j2 |
21294.v |
21294j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$6552$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1213056$ |
$2.860584$ |
$280965399667875/175616$ |
$1.02205$ |
$6.38924$ |
$[1, -1, 0, -34423557, -77729060395]$ |
\(y^2+xy=x^3-x^2-34423557x-77729060395\) |
3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 117.72.0.?, 168.16.0.?, 504.48.0.?, $\ldots$ |
$[]$ |
| 21294.v2 |
21294j1 |
21294.v |
21294j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$6552$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$404352$ |
$2.311279$ |
$677353174875/322828856$ |
$1.02173$ |
$5.12301$ |
$[1, -1, 0, -512862, -59250996]$ |
\(y^2+xy=x^3-x^2-512862x-59250996\) |
3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 117.72.0.?, 168.16.0.?, 504.48.0.?, $\ldots$ |
$[]$ |
| 21294.w1 |
21294i1 |
21294.w |
21294i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{9} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.457592$ |
$43875/14$ |
$0.93443$ |
$4.12357$ |
$[1, -1, 0, -18537, -646021]$ |
\(y^2+xy=x^3-x^2-18537x-646021\) |
168.2.0.? |
$[]$ |
| 21294.x1 |
21294k1 |
21294.x |
21294k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{9} \cdot 13^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$6552$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$233280$ |
$1.865053$ |
$-354003515818875/20661046784$ |
$1.05531$ |
$4.73121$ |
$[1, -1, 0, -135147, 20098053]$ |
\(y^2+xy=x^3-x^2-135147x+20098053\) |
3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 117.72.0.?, 168.16.0.?, 504.48.0.?, $\ldots$ |
$[]$ |
| 21294.x2 |
21294k2 |
21294.x |
21294k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{27} \cdot 3^{9} \cdot 7^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$6552$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$699840$ |
$2.414360$ |
$77908020328125/46036680704$ |
$1.20313$ |
$5.23108$ |
$[1, -1, 0, 734358, 34995572]$ |
\(y^2+xy=x^3-x^2+734358x+34995572\) |
3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 117.72.0.?, 168.16.0.?, 504.48.0.?, $\ldots$ |
$[]$ |
| 21294.y1 |
21294y1 |
21294.y |
21294y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.395663953$ |
$1$ |
|
$2$ |
$16128$ |
$0.721156$ |
$41781923/24192$ |
$1.10608$ |
$3.19425$ |
$[1, -1, 0, 846, -428]$ |
\(y^2+xy=x^3-x^2+846x-428\) |
2184.2.0.? |
$[(23, 164)]$ |
