| 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 |
| 66654.a1 |
66654bc1 |
66654.a |
66654bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1391040$ |
$2.056801$ |
$8947391/6272$ |
$1.06774$ |
$4.29291$ |
$[1, -1, 0, 166536, 11982784]$ |
\(y^2+xy=x^3-x^2+166536x+11982784\) |
8.2.0.a.1 |
$[]$ |
| 66654.b1 |
66654p1 |
66654.b |
66654p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{4} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1.062382492$ |
$1$ |
|
$4$ |
$6782976$ |
$3.051525$ |
$-194975262337/1008189504$ |
$0.98787$ |
$5.39897$ |
$[1, -1, 0, -4651596, 12172558608]$ |
\(y^2+xy=x^3-x^2-4651596x+12172558608\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(1984, 102692)]$ |
| 66654.c1 |
66654m2 |
66654.c |
66654m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2 \cdot 3^{7} \cdot 7^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$3.376389417$ |
$1$ |
|
$0$ |
$1520640$ |
$2.218655$ |
$-2181825073/25039686$ |
$0.93269$ |
$4.49656$ |
$[1, -1, 0, -128646, -81027054]$ |
\(y^2+xy=x^3-x^2-128646x-81027054\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 168.8.0.?, 3864.16.0.? |
$[(13329/5, 130932/5)]$ |
| 66654.c2 |
66654m1 |
66654.c |
66654m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1.125463139$ |
$1$ |
|
$2$ |
$506880$ |
$1.669348$ |
$2924207/34776$ |
$0.86250$ |
$3.89530$ |
$[1, -1, 0, 14184, 2871288]$ |
\(y^2+xy=x^3-x^2+14184x+2871288\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 168.8.0.?, 3864.16.0.? |
$[(351, 6966)]$ |
| 66654.d1 |
66654o1 |
66654.d |
66654o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{7} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.767564211$ |
$1$ |
|
$4$ |
$38400$ |
$0.565573$ |
$-357911/672$ |
$0.85308$ |
$2.72180$ |
$[1, -1, 0, -306, -4172]$ |
\(y^2+xy=x^3-x^2-306x-4172\) |
3864.2.0.? |
$[(29, 89)]$ |
| 66654.e1 |
66654n1 |
66654.e |
66654n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{19} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$11.28642515$ |
$1$ |
|
$0$ |
$5511168$ |
$2.986675$ |
$4124146838737/178564176$ |
$0.96840$ |
$5.46701$ |
$[1, -1, 0, -12864321, -17078916947]$ |
\(y^2+xy=x^3-x^2-12864321x-17078916947\) |
42.2.0.a.1 |
$[(-140498/9, 3353167/9)]$ |
| 66654.f1 |
66654c2 |
66654.f |
66654c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 7 \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1.775215969$ |
$1$ |
|
$8$ |
$138240$ |
$0.940228$ |
$306177219/28672$ |
$0.89362$ |
$3.21395$ |
$[1, -1, 0, -3066, 60596]$ |
\(y^2+xy=x^3-x^2-3066x+60596\) |
3.4.0.a.1, 42.8.0.b.1, 69.8.0-3.a.1.1, 966.16.0.? |
$[(100, 814), (19, 85)]$ |
| 66654.f2 |
66654c1 |
66654.f |
66654c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1.775215969$ |
$1$ |
|
$12$ |
$46080$ |
$0.390921$ |
$2138072571/5488$ |
$0.91471$ |
$2.79547$ |
$[1, -1, 0, -651, -6219]$ |
\(y^2+xy=x^3-x^2-651x-6219\) |
3.4.0.a.1, 42.8.0.b.1, 69.8.0-3.a.1.2, 966.16.0.? |
$[(-14, 9), (-15, 9)]$ |
| 66654.g1 |
66654bb1 |
66654.g |
66654bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{2} \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$1288$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3391488$ |
$2.816116$ |
$54922367/112896$ |
$0.94958$ |
$5.10521$ |
$[1, -1, 0, 2466099, -2381862299]$ |
\(y^2+xy=x^3-x^2+2466099x-2381862299\) |
4.2.0.a.1, 1288.4.0.? |
$[]$ |
| 66654.h1 |
66654j6 |
66654.h |
66654j |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{22} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$7728$ |
$192$ |
$1$ |
$14.03176150$ |
$1$ |
|
$0$ |
$17301504$ |
$3.533028$ |
$54804145548726848737/637608031452$ |
$1.01569$ |
$6.37915$ |
$[1, -1, 0, -376757073, -2814630157391]$ |
\(y^2+xy=x^3-x^2-376757073x-2814630157391\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.3, $\ldots$ |
$[(220698569/85, 2303083401827/85)]$ |
| 66654.h2 |
66654j4 |
66654.h |
66654j |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$1.753970187$ |
$1$ |
|
$6$ |
$8650752$ |
$3.186455$ |
$614716917569296417/19093020912$ |
$0.99887$ |
$5.97488$ |
$[1, -1, 0, -84336453, 298119355429]$ |
\(y^2+xy=x^3-x^2-84336453x+298119355429\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.8, $\ldots$ |
$[(5273, -256)]$ |
| 66654.h3 |
66654j3 |
66654.h |
66654j |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 7^{2} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3864$ |
$192$ |
$1$ |
$7.015880750$ |
$1$ |
|
$4$ |
$8650752$ |
$3.186455$ |
$14447092394873377/1439452851984$ |
$0.98473$ |
$5.63720$ |
$[1, -1, 0, -24157413, -41574871355]$ |
\(y^2+xy=x^3-x^2-24157413x-41574871355\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 24.48.0-8.e.1.10, 28.24.0.c.1, $\ldots$ |
$[(27293, 4416851)]$ |
| 66654.h4 |
66654j2 |
66654.h |
66654j |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3864$ |
$192$ |
$1$ |
$3.507940375$ |
$1$ |
|
$8$ |
$4325376$ |
$2.839882$ |
$169967019783457/26337394944$ |
$0.96308$ |
$5.23722$ |
$[1, -1, 0, -5494293, 4243088245]$ |
\(y^2+xy=x^3-x^2-5494293x+4243088245\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.2, 24.48.0-8.e.2.14, $\ldots$ |
$[(1901, 24848)]$ |
| 66654.h5 |
66654j1 |
66654.h |
66654j |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{8} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$7728$ |
$192$ |
$1$ |
$1.753970187$ |
$1$ |
|
$7$ |
$2162688$ |
$2.493305$ |
$221115865823/664731648$ |
$0.94588$ |
$4.76809$ |
$[1, -1, 0, 599787, 366034549]$ |
\(y^2+xy=x^3-x^2+599787x+366034549\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.1, $\ldots$ |
$[(314, 24035)]$ |
| 66654.h6 |
66654j5 |
66654.h |
66654j |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 7 \cdot 23^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$7728$ |
$192$ |
$1$ |
$14.03176150$ |
$1$ |
|
$0$ |
$17301504$ |
$3.533028$ |
$27207619911317663/177609314617308$ |
$1.01748$ |
$5.90398$ |
$[1, -1, 0, 29832327, -201092957159]$ |
\(y^2+xy=x^3-x^2+29832327x-201092957159\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(3258017/11, 5952725749/11)]$ |
| 66654.i1 |
66654k2 |
66654.i |
66654k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{6} \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$2.851253940$ |
$1$ |
|
$0$ |
$608256$ |
$1.742365$ |
$304821217/51842$ |
$0.85015$ |
$4.04599$ |
$[1, -1, 0, -66753, -5561501]$ |
\(y^2+xy=x^3-x^2-66753x-5561501\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(1335/2, 22999/2)]$ |
| 66654.i2 |
66654k1 |
66654.i |
66654k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.425626970$ |
$1$ |
|
$5$ |
$304128$ |
$1.395790$ |
$7189057/644$ |
$0.79155$ |
$3.70863$ |
$[1, -1, 0, -19143, 942025]$ |
\(y^2+xy=x^3-x^2-19143x+942025\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(282, 4091)]$ |
| 66654.j1 |
66654w4 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1441792$ |
$2.306156$ |
$268498407453697/252$ |
$1.05727$ |
$5.27839$ |
$[1, -1, 0, -6398883, 6231834121]$ |
\(y^2+xy=x^3-x^2-6398883x+6231834121\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$ |
$[]$ |
| 66654.j2 |
66654w6 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2883584$ |
$2.652729$ |
$84448510979617/933897762$ |
$1.05309$ |
$5.17425$ |
$[1, -1, 0, -4351653, -3459419429]$ |
\(y^2+xy=x^3-x^2-4351653x-3459419429\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 276.12.0.?, $\ldots$ |
$[]$ |
| 66654.j3 |
66654w3 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1441792$ |
$2.306156$ |
$124475734657/63011844$ |
$1.06499$ |
$4.58727$ |
$[1, -1, 0, -495243, 47599825]$ |
\(y^2+xy=x^3-x^2-495243x+47599825\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 56.96.1.bp.2, 276.24.0.?, $\ldots$ |
$[]$ |
| 66654.j4 |
66654w2 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$720896$ |
$1.959581$ |
$65597103937/63504$ |
$1.01692$ |
$4.52960$ |
$[1, -1, 0, -400023, 97399885]$ |
\(y^2+xy=x^3-x^2-400023x+97399885\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 56.96.1.by.1, $\ldots$ |
$[]$ |
| 66654.j5 |
66654w1 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$360448$ |
$1.613007$ |
$-7189057/16128$ |
$0.98224$ |
$3.85128$ |
$[1, -1, 0, -19143, 2256061]$ |
\(y^2+xy=x^3-x^2-19143x+2256061\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[]$ |
| 66654.j6 |
66654w5 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2 \cdot 3^{22} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2883584$ |
$2.652729$ |
$6359387729183/4218578658$ |
$1.08314$ |
$4.94141$ |
$[1, -1, 0, 1837647, 366272599]$ |
\(y^2+xy=x^3-x^2+1837647x+366272599\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 56.48.0.bc.1, $\ldots$ |
$[]$ |
| 66654.k1 |
66654u2 |
66654.k |
66654u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{2} \cdot 23^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$5.000928244$ |
$1$ |
|
$10$ |
$1013760$ |
$2.155704$ |
$582810602977/829472$ |
$0.91997$ |
$4.72625$ |
$[1, -1, 0, -828513, 290116701]$ |
\(y^2+xy=x^3-x^2-828513x+290116701\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(673, 5747), (-155, 20444)]$ |
| 66654.k2 |
66654u1 |
66654.k |
66654u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 7 \cdot 23^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$5.000928244$ |
$1$ |
|
$11$ |
$506880$ |
$1.809132$ |
$304821217/164864$ |
$0.89657$ |
$4.04599$ |
$[1, -1, 0, -66753, 1714365]$ |
\(y^2+xy=x^3-x^2-66753x+1714365\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(-63, 2412), (21618/7, 2536353/7)]$ |
| 66654.l1 |
66654v4 |
66654.l |
66654v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{12} \cdot 7^{4} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$16220160$ |
$3.494041$ |
$632678989847546725777/80515134$ |
$1.02372$ |
$6.59938$ |
$[1, -1, 0, -851500188, -9563471523270]$ |
\(y^2+xy=x^3-x^2-851500188x-9563471523270\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.z.1, 168.24.0.?, $\ldots$ |
$[]$ |
| 66654.l2 |
66654v3 |
66654.l |
66654v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{30} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$16220160$ |
$3.494041$ |
$231331938231569617/90942310746882$ |
$1.00907$ |
$5.88689$ |
$[1, -1, 0, -60888528, -103543708266]$ |
\(y^2+xy=x^3-x^2-60888528x-103543708266\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$ |
$[]$ |
| 66654.l3 |
66654v2 |
66654.l |
66654v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{18} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3864$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$8110080$ |
$3.147469$ |
$154502321244119857/55101928644$ |
$1.07228$ |
$5.85055$ |
$[1, -1, 0, -53223318, -149392395360]$ |
\(y^2+xy=x^3-x^2-53223318x-149392395360\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0.b.1, 168.24.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 66654.l4 |
66654v1 |
66654.l |
66654v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{12} \cdot 7 \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$4055040$ |
$2.800896$ |
$-23771111713777/22848457968$ |
$1.05630$ |
$5.14823$ |
$[1, -1, 0, -2851938, -3023239356]$ |
\(y^2+xy=x^3-x^2-2851938x-3023239356\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 24.12.0-4.c.1.6, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 66654.m1 |
66654a1 |
66654.m |
66654a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{9} \cdot 7^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1064448$ |
$2.226147$ |
$212776173/1009792$ |
$1.15280$ |
$4.48809$ |
$[1, -1, 0, 177645, -77377483]$ |
\(y^2+xy=x^3-x^2+177645x-77377483\) |
3864.2.0.? |
$[]$ |
| 66654.n1 |
66654i1 |
66654.n |
66654i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{5} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1.348118297$ |
$1$ |
|
$2$ |
$4239360$ |
$2.888245$ |
$327181002241/116169984$ |
$0.96598$ |
$5.23886$ |
$[1, -1, 0, -5527620, 3110966352]$ |
\(y^2+xy=x^3-x^2-5527620x+3110966352\) |
42.2.0.a.1 |
$[(6216, 453948)]$ |
| 66654.o1 |
66654t1 |
66654.o |
66654t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{24} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$101744640$ |
$4.491760$ |
$-2641801258666400088001/1244109469188096$ |
$1.05100$ |
$7.29272$ |
$[1, -1, 0, -11089421280, -449661179964416]$ |
\(y^2+xy=x^3-x^2-11089421280x-449661179964416\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[]$ |
| 66654.p1 |
66654s1 |
66654.p |
66654s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$353280$ |
$1.714176$ |
$279841/84$ |
$0.98149$ |
$3.98096$ |
$[1, -1, 0, -52470, 3222544]$ |
\(y^2+xy=x^3-x^2-52470x+3222544\) |
42.2.0.a.1 |
$[]$ |
| 66654.q1 |
66654g1 |
66654.q |
66654g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.750222133$ |
$1$ |
|
$4$ |
$15360$ |
$0.146428$ |
$279841/84$ |
$0.98149$ |
$2.28721$ |
$[1, -1, 0, -99, -239]$ |
\(y^2+xy=x^3-x^2-99x-239\) |
42.2.0.a.1 |
$[(-4, 11)]$ |
| 66654.r1 |
66654f1 |
66654.r |
66654f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{15} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$10.22176062$ |
$1$ |
|
$0$ |
$1520640$ |
$2.510830$ |
$-25727239787761/101406816$ |
$0.94715$ |
$5.06785$ |
$[1, -1, 0, -2928114, -1934371148]$ |
\(y^2+xy=x^3-x^2-2928114x-1934371148\) |
3864.2.0.? |
$[(17058767/74, 55471107019/74)]$ |
| 66654.s1 |
66654h1 |
66654.s |
66654h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{24} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$1288$ |
$4$ |
$0$ |
$4.009105210$ |
$1$ |
|
$2$ |
$4423680$ |
$2.924011$ |
$-2641801258666400088001/1244109469188096$ |
$1.05100$ |
$5.59897$ |
$[1, -1, 0, -20962989, 36962909221]$ |
\(y^2+xy=x^3-x^2-20962989x+36962909221\) |
4.2.0.a.1, 1288.4.0.? |
$[(7850, 592811)]$ |
| 66654.t1 |
66654r1 |
66654.t |
66654r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{5} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.427148937$ |
$1$ |
|
$18$ |
$184320$ |
$1.320496$ |
$327181002241/116169984$ |
$0.96598$ |
$3.54511$ |
$[1, -1, 0, -10449, -252963]$ |
\(y^2+xy=x^3-x^2-10449x-252963\) |
42.2.0.a.1 |
$[(162, 1431), (-62, 423)]$ |
| 66654.u1 |
66654d1 |
66654.u |
66654d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2 \cdot 3^{3} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$4.642181356$ |
$1$ |
|
$0$ |
$118272$ |
$1.111948$ |
$-14348907/322$ |
$0.98053$ |
$3.47754$ |
$[1, -1, 0, -8034, -280494]$ |
\(y^2+xy=x^3-x^2-8034x-280494\) |
3864.2.0.? |
$[(2841/5, 57171/5)]$ |
| 66654.v1 |
66654b1 |
66654.v |
66654b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2787840$ |
$2.361073$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.25678$ |
$[1, -1, 0, -5906913, -5524245027]$ |
\(y^2+xy=x^3-x^2-5906913x-5524245027\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 168.8.0.?, 3864.16.0.? |
$[]$ |
| 66654.v2 |
66654b2 |
66654.v |
66654b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$8363520$ |
$2.910378$ |
$-5999796014211/2790817792$ |
$0.99901$ |
$5.28601$ |
$[1, -1, 0, -5407008, -6498085888]$ |
\(y^2+xy=x^3-x^2-5407008x-6498085888\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 168.8.0.?, 3864.16.0.? |
$[]$ |
| 66654.w1 |
66654l1 |
66654.w |
66654l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$1.681861143$ |
$1$ |
|
$2$ |
$147456$ |
$1.248369$ |
$54922367/112896$ |
$0.94958$ |
$3.41146$ |
$[1, -1, 0, 4662, 194548]$ |
\(y^2+xy=x^3-x^2+4662x+194548\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[(116, 1454)]$ |
| 66654.x1 |
66654e2 |
66654.x |
66654e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$42$ |
$16$ |
$0$ |
$9.377348194$ |
$1$ |
|
$0$ |
$3179520$ |
$2.507973$ |
$306177219/28672$ |
$0.89362$ |
$4.90770$ |
$[1, -1, 0, -1622013, -727539643]$ |
\(y^2+xy=x^3-x^2-1622013x-727539643\) |
3.8.0-3.a.1.1, 42.16.0-42.b.1.3 |
$[(473146/5, 323511791/5)]$ |
| 66654.x2 |
66654e1 |
66654.x |
66654e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 23^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$42$ |
$16$ |
$0$ |
$3.125782731$ |
$1$ |
|
$6$ |
$1059840$ |
$1.958668$ |
$2138072571/5488$ |
$0.91471$ |
$4.48922$ |
$[1, -1, 0, -344478, 77733252]$ |
\(y^2+xy=x^3-x^2-344478x+77733252\) |
3.8.0-3.a.1.2, 42.16.0-42.b.1.4 |
$[(432, 2850)]$ |
| 66654.y1 |
66654y1 |
66654.y |
66654y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{7} \cdot 7 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$883200$ |
$2.133320$ |
$-357911/672$ |
$0.85308$ |
$4.41556$ |
$[1, -1, 0, -161973, 51732373]$ |
\(y^2+xy=x^3-x^2-161973x+51732373\) |
3864.2.0.? |
$[]$ |
| 66654.z1 |
66654x1 |
66654.z |
66654x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{19} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$239616$ |
$1.418928$ |
$4124146838737/178564176$ |
$0.96840$ |
$3.77325$ |
$[1, -1, 0, -24318, 1410052]$ |
\(y^2+xy=x^3-x^2-24318x+1410052\) |
42.2.0.a.1 |
$[]$ |
| 66654.ba1 |
66654ba1 |
66654.ba |
66654ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7^{11} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16727040$ |
$3.461185$ |
$83228502970940543/69854999176704$ |
$1.01004$ |
$5.79485$ |
$[1, -1, 0, 43305957, 73599499557]$ |
\(y^2+xy=x^3-x^2+43305957x+73599499557\) |
3864.2.0.? |
$[]$ |
| 66654.bb1 |
66654z1 |
66654.bb |
66654z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$276$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.483778$ |
$-194975262337/1008189504$ |
$0.98787$ |
$3.70522$ |
$[1, -1, 0, -8793, -998163]$ |
\(y^2+xy=x^3-x^2-8793x-998163\) |
4.8.0.b.1, 276.16.0.? |
$[]$ |
| 66654.bc1 |
66654q1 |
66654.bc |
66654q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.640718016$ |
$1$ |
|
$0$ |
$60480$ |
$0.489053$ |
$8947391/6272$ |
$1.06774$ |
$2.59916$ |
$[1, -1, 0, 315, -1067]$ |
\(y^2+xy=x^3-x^2+315x-1067\) |
8.2.0.a.1 |
$[(51/2, 509/2)]$ |
| 66654.bd1 |
66654bu2 |
66654.bd |
66654bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{8} \cdot 7^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1622016$ |
$2.220093$ |
$42180533641/22862322$ |
$1.12204$ |
$4.48984$ |
$[1, -1, 1, -345272, -19576695]$ |
\(y^2+xy+y=x^3-x^2-345272x-19576695\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[]$ |
| 66654.bd2 |
66654bu1 |
66654.bd |
66654bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$811008$ |
$1.873520$ |
$590589719/365148$ |
$0.90611$ |
$4.10553$ |
$[1, -1, 1, 83218, -2437095]$ |
\(y^2+xy+y=x^3-x^2+83218x-2437095\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
