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 |
21.a4 |
21a6 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( - 3 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.177 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.074205$ |
$-4354703137/17294403$ |
$1.04266$ |
$7.96731$ |
$[1, 0, 0, -34, -217]$ |
\(y^2+xy=x^3-34x-217\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.bb.2.3, 12.24.0-12.g.1.1, $\ldots$ |
$[]$ |
63.a4 |
63a6 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( - 3^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.183 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.623511$ |
$-4354703137/17294403$ |
$1.04266$ |
$7.44565$ |
$[1, -1, 0, -306, 5859]$ |
\(y^2+xy=x^3-x^2-306x+5859\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.bb.2.6, 12.24.0-12.g.1.1, $\ldots$ |
$[]$ |
147.a4 |
147a6 |
147.a |
147a |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \) |
\( - 3 \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.125 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$1.047161$ |
$-4354703137/17294403$ |
$1.04266$ |
$7.20020$ |
$[1, 1, 1, -1667, 72764]$ |
\(y^2+xy+y=x^3+x^2-1667x+72764\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
336.a4 |
336e6 |
336.a |
336e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.161 |
2B |
$336$ |
$192$ |
$1$ |
$0.746299208$ |
$1$ |
|
$11$ |
$256$ |
$0.767352$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.59976$ |
$[0, -1, 0, -544, 13888]$ |
\(y^2=x^3-x^2-544x+13888\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.bb.2.4, 12.24.0-12.g.1.2, $\ldots$ |
$[(32, 168)]$ |
441.f4 |
441c6 |
441.f |
441c |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.131 |
2B |
$336$ |
$192$ |
$1$ |
$2.638508823$ |
$1$ |
|
$2$ |
$1536$ |
$1.596466$ |
$-4354703137/17294403$ |
$1.04266$ |
$6.98365$ |
$[1, -1, 0, -15003, -1979636]$ |
\(y^2+xy=x^3-x^2-15003x-1979636\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(296, 4262)]$ |
525.d4 |
525b6 |
525.d |
525b |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \) |
\( - 3 \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$512$ |
$0.878924$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.41452$ |
$[1, 1, 0, -850, -27125]$ |
\(y^2+xy=x^3+x^2-850x-27125\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
1008.l4 |
1008k6 |
1008.l |
1008k |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.167 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$1.316658$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.66334$ |
$[0, 0, 0, -4899, -370078]$ |
\(y^2=x^3-4899x-370078\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.bb.2.5, 12.24.0-12.g.1.2, $\ldots$ |
$[]$ |
1344.g4 |
1344a6 |
1344.g |
1344a |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( - 2^{18} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.225 |
2B |
$336$ |
$192$ |
$1$ |
$7.803842251$ |
$1$ |
|
$1$ |
$2048$ |
$1.113926$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.09943$ |
$[0, -1, 0, -2177, -108927]$ |
\(y^2=x^3-x^2-2177x-108927\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.48.0-8.bb.2.2, 12.12.0.g.1, $\ldots$ |
$[(3187/7, 48980/7)]$ |
1344.s4 |
1344r6 |
1344.s |
1344r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( - 2^{18} \cdot 3 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.210 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$1.113926$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.09943$ |
$[0, 1, 0, -2177, 108927]$ |
\(y^2=x^3+x^2-2177x+108927\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.48.0-8.bb.2.1, 12.12.0.g.1, $\ldots$ |
$[]$ |
1575.c4 |
1575g6 |
1575.c |
1575g |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 3^{7} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$0.236287448$ |
$1$ |
|
$12$ |
$4096$ |
$1.428230$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.50189$ |
$[1, -1, 1, -7655, 724722]$ |
\(y^2+xy+y=x^3-x^2-7655x+724722\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(14, 780)]$ |
2352.v4 |
2352v6 |
2352.v |
2352v |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.126 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12288$ |
$1.740307$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.70008$ |
$[0, 1, 0, -26672, -4710252]$ |
\(y^2=x^3+x^2-26672x-4710252\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
2541.j4 |
2541l6 |
2541.j |
2541l |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5120$ |
$1.273153$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.92889$ |
$[1, 0, 1, -4117, 284711]$ |
\(y^2+xy+y=x^3-4117x+284711\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
3549.c4 |
3549c6 |
3549.c |
3549c |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( - 3 \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$4368$ |
$192$ |
$1$ |
$2.671455529$ |
$1$ |
|
$2$ |
$9216$ |
$1.356680$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.85005$ |
$[1, 0, 1, -5750, -471001]$ |
\(y^2+xy+y=x^3-5750x-471001\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(131, 948)]$ |
3675.n4 |
3675j6 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3 \cdot 5^{6} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$7.725929285$ |
$1$ |
|
$0$ |
$24576$ |
$1.851879$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.55330$ |
$[1, 0, 1, -41676, 9178873]$ |
\(y^2+xy+y=x^3-41676x+9178873\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(2227/6, 558061/6)]$ |
4032.h4 |
4032h6 |
4032.h |
4032h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.226 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.663233$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.21861$ |
$[0, 0, 0, -19596, 2960624]$ |
\(y^2=x^3-19596x+2960624\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.48.0-8.bb.2.7, 12.12.0.g.1, $\ldots$ |
$[]$ |
4032.k4 |
4032bm6 |
4032.k |
4032bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.211 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.663233$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.21861$ |
$[0, 0, 0, -19596, -2960624]$ |
\(y^2=x^3-19596x-2960624\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.48.0-8.bb.2.8, 12.12.0.g.1, $\ldots$ |
$[]$ |
6069.b4 |
6069b6 |
6069.b |
6069b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \) |
\( - 3 \cdot 7^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.490812$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.73610$ |
$[1, 1, 1, -9832, -1056292]$ |
\(y^2+xy+y=x^3+x^2-9832x-1056292\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
7056.p4 |
7056bx6 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.130 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$2.289616$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.73727$ |
$[0, 0, 0, -240051, 126936754]$ |
\(y^2=x^3-240051x+126936754\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
7581.d4 |
7581b6 |
7581.d |
7581b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.546425$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.69287$ |
$[1, 1, 0, -12281, 1463844]$ |
\(y^2+xy=x^3+x^2-12281x+1463844\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
7623.g4 |
7623p6 |
7623.g |
7623p |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$40960$ |
$1.822458$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.06053$ |
$[1, -1, 1, -37049, -7687204]$ |
\(y^2+xy+y=x^3-x^2-37049x-7687204\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
8400.bn4 |
8400cd6 |
8400.bn |
8400cd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$2.889580479$ |
$1$ |
|
$3$ |
$32768$ |
$1.572071$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.67365$ |
$[0, 1, 0, -13608, 1708788]$ |
\(y^2=x^3+x^2-13608x+1708788\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(68, 1050)]$ |
9408.m4 |
9408cd6 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{18} \cdot 3 \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.128 |
2B |
$336$ |
$192$ |
$1$ |
$13.74319437$ |
$1$ |
|
$1$ |
$98304$ |
$2.086880$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.29097$ |
$[0, -1, 0, -106689, -37575327]$ |
\(y^2=x^3-x^2-106689x-37575327\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(1631879/31, 2036920600/31)]$ |
9408.bv4 |
9408bj6 |
9408.bv |
9408bj |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{18} \cdot 3 \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.123 |
2B |
$336$ |
$192$ |
$1$ |
$8.753013071$ |
$1$ |
|
$1$ |
$98304$ |
$2.086880$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.29097$ |
$[0, 1, 0, -106689, 37575327]$ |
\(y^2=x^3+x^2-106689x+37575327\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(2021/5, 678756/5)]$ |
10647.d4 |
10647f6 |
10647.d |
10647f |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$4368$ |
$192$ |
$1$ |
$0.548620843$ |
$1$ |
|
$8$ |
$73728$ |
$1.905987$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.98629$ |
$[1, -1, 1, -51746, 12717020]$ |
\(y^2+xy+y=x^3-x^2-51746x+12717020\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(-146, 4213)]$ |
11025.g4 |
11025ba6 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{6} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$7.203395932$ |
$1$ |
|
$0$ |
$196608$ |
$2.401184$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.60602$ |
$[1, -1, 1, -375080, -247829578]$ |
\(y^2+xy+y=x^3-x^2-375080x-247829578\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(4891/2, 262905/2)]$ |
11109.d4 |
11109i6 |
11109.d |
11109i |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.641953$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.62343$ |
$[1, 0, 0, -17997, 2604252]$ |
\(y^2+xy=x^3-17997x+2604252\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
17661.f4 |
17661a6 |
17661.f |
17661a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 29^{2} \) |
\( - 3 \cdot 7^{8} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$9744$ |
$192$ |
$1$ |
$18.05542860$ |
$1$ |
|
$0$ |
$100352$ |
$1.757853$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.54647$ |
$[1, 1, 0, -28611, -5235204]$ |
\(y^2+xy=x^3+x^2-28611x-5235204\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(1597140269/1820, 56796050222813/1820)]$ |
17787.s4 |
17787h6 |
17787.s |
17787h |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3 \cdot 7^{14} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$3696$ |
$192$ |
$1$ |
$26.22178070$ |
$1$ |
|
$0$ |
$245760$ |
$2.246109$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.14187$ |
$[1, 1, 0, -201709, -97857668]$ |
\(y^2+xy=x^3+x^2-201709x-97857668\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(2671726610691/7030, 4357555902872542499/7030)]$ |
18207.e4 |
18207e6 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$1.244773276$ |
$1$ |
|
$4$ |
$147456$ |
$2.040119$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.87765$ |
$[1, -1, 0, -88488, 28431391]$ |
\(y^2+xy=x^3-x^2-88488x+28431391\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(-142, 6245)]$ |
20181.e4 |
20181d6 |
20181.e |
20181d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 31^{2} \) |
\( - 3 \cdot 7^{8} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$10416$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$1.791199$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.52566$ |
$[1, 1, 1, -32694, 6366582]$ |
\(y^2+xy+y=x^3+x^2-32694x+6366582\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
22743.f4 |
22743n5 |
22743.f |
22743n |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$6384$ |
$192$ |
$1$ |
$3.694208115$ |
$1$ |
|
$0$ |
$221184$ |
$2.095730$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.83601$ |
$[1, -1, 1, -110534, -39634320]$ |
\(y^2+xy+y=x^3-x^2-110534x-39634320\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(2015/2, 43467/2)]$ |
24843.p4 |
24843d5 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3 \cdot 7^{14} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.329636$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.07116$ |
$[1, 1, 0, -281726, 161271531]$ |
\(y^2+xy=x^3+x^2-281726x+161271531\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
25200.cr4 |
25200dx5 |
25200.cr |
25200dx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$5.712068496$ |
$1$ |
|
$3$ |
$262144$ |
$2.121376$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.81743$ |
$[0, 0, 0, -122475, -46259750]$ |
\(y^2=x^3-122475x-46259750\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(1559, 59598)]$ |
28224.es4 |
28224fw5 |
28224.es |
28224fw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.124 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$2.636189$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.36698$ |
$[0, 0, 0, -960204, 1015494032]$ |
\(y^2=x^3-960204x+1015494032\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
28224.fk4 |
28224bz5 |
28224.fk |
28224bz |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.129 |
2B |
$336$ |
$192$ |
$1$ |
$23.79400264$ |
$1$ |
|
$1$ |
$786432$ |
$2.636189$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.36698$ |
$[0, 0, 0, -960204, -1015494032]$ |
\(y^2=x^3-960204x-1015494032\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(125770718984/2255, 44567021970086148/2255)]$ |
28749.h4 |
28749e5 |
28749.h |
28749e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 37^{2} \) |
\( - 3 \cdot 7^{8} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$12432$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$202752$ |
$1.879663$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.47307$ |
$[1, 0, 1, -46575, -10852007]$ |
\(y^2+xy+y=x^3-46575x-10852007\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
33327.k4 |
33327m5 |
33327.k |
33327m |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$405504$ |
$2.191257$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.76865$ |
$[1, -1, 0, -161973, -70314804]$ |
\(y^2+xy=x^3-x^2-161973x-70314804\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
33600.ce4 |
33600em5 |
33600.ce |
33600em |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$262144$ |
$1.918646$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.45103$ |
$[0, -1, 0, -54433, 13724737]$ |
\(y^2=x^3-x^2-54433x+13724737\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
33600.fm4 |
33600dd5 |
33600.fm |
33600dd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$6.003874339$ |
$1$ |
|
$3$ |
$262144$ |
$1.918646$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.45103$ |
$[0, 1, 0, -54433, -13724737]$ |
\(y^2=x^3+x^2-54433x-13724737\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(637, 14508)]$ |
35301.c4 |
35301e5 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3 \cdot 7^{8} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$281600$ |
$1.930992$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.44419$ |
$[1, 1, 1, -57189, -14784330]$ |
\(y^2+xy+y=x^3+x^2-57189x-14784330\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
38829.h4 |
38829f5 |
38829.h |
38829f |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 43^{2} \) |
\( - 3 \cdot 7^{8} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$14448$ |
$192$ |
$1$ |
$2.835861228$ |
$1$ |
|
$0$ |
$322560$ |
$1.954805$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.43117$ |
$[1, 1, 0, -62904, 17001447]$ |
\(y^2+xy=x^3+x^2-62904x+17001447\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(-1154/3, 131161/3)]$ |
40656.l4 |
40656bk5 |
40656.l |
40656bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$3696$ |
$192$ |
$1$ |
$7.793779684$ |
$1$ |
|
$1$ |
$327680$ |
$1.966301$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.42497$ |
$[0, -1, 0, -65864, -18221520]$ |
\(y^2=x^3-x^2-65864x-18221520\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(44130/7, 8759190/7)]$ |
42483.d4 |
42483v5 |
42483.d |
42483v |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3 \cdot 7^{14} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$8.635545491$ |
$1$ |
|
$0$ |
$884736$ |
$2.463768$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.96688$ |
$[1, 0, 0, -481769, 360862788]$ |
\(y^2+xy=x^3-481769x+360862788\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(82039/6, 22509743/6)]$ |
46389.d4 |
46389k5 |
46389.d |
46389k |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 47^{2} \) |
\( - 3 \cdot 7^{8} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$15792$ |
$192$ |
$1$ |
$15.66001691$ |
$1$ |
|
$0$ |
$423936$ |
$1.999279$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.40748$ |
$[1, 0, 0, -75152, 22229043]$ |
\(y^2+xy=x^3-75152x+22229043\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(106081441/840, 2199464786819/840)]$ |
52983.e4 |
52983a5 |
52983.e |
52983a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 29^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$802816$ |
$2.307159$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.69327$ |
$[1, -1, 1, -257504, 141093006]$ |
\(y^2+xy+y=x^3-x^2-257504x+141093006\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
53067.r4 |
53067q5 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{14} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1327104$ |
$2.519379$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.92667$ |
$[1, 0, 1, -601795, -503903851]$ |
\(y^2+xy+y=x^3-601795x-503903851\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
53361.p4 |
53361bo5 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 7^{14} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1966080$ |
$2.795414$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.22848$ |
$[1, -1, 1, -1815386, 2640341652]$ |
\(y^2+xy+y=x^3-x^2-1815386x+2640341652\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
56784.bh4 |
56784bk5 |
56784.bh |
56784bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.049828$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.38148$ |
$[0, -1, 0, -91992, 30144048]$ |
\(y^2=x^3-x^2-91992x+30144048\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
58800.m4 |
58800gb5 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$6.382650789$ |
$1$ |
|
$3$ |
$1572864$ |
$2.545025$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.90867$ |
$[0, -1, 0, -666808, -587447888]$ |
\(y^2=x^3-x^2-666808x-587447888\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(5322, 382850)]$ |
58989.n4 |
58989a5 |
58989.n |
58989a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 53^{2} \) |
\( - 3 \cdot 7^{8} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$17808$ |
$192$ |
$1$ |
$49.59630879$ |
$1$ |
|
$0$ |
$599040$ |
$2.059353$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.37669$ |
$[1, 1, 0, -95564, -31924137]$ |
\(y^2+xy=x^3+x^2-95564x-31924137\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(167012913862570869323839/3459603230, 67950530295545226653745146649749077/3459603230)]$ |