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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
242.a1 |
242b2 |
242.a |
242b |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \) |
\( - 2^{12} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.8.0.2 |
3B.1.2 |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$528$ |
$1.067739$ |
$-128667913/4096$ |
$[1, 0, 1, -6295, -197958]$ |
\(y^2+xy+y=x^3-6295x-197958\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.16.0-12.a.1.5, 24.32.0-24.b.2.8 |
$[]$ |
242.b1 |
242a2 |
242.b |
242a |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \) |
\( - 2^{12} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$0.041190460$ |
$1$ |
|
$14$ |
$48$ |
$-0.131208$ |
$-128667913/4096$ |
$[1, 0, 0, -52, 144]$ |
\(y^2+xy=x^3-52x+144\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 33.8.0-3.a.1.1, $\ldots$ |
$[(8, 12)]$ |
1936.j1 |
1936j2 |
1936.j |
1936j |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \) |
\( - 2^{24} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1.270567264$ |
$1$ |
|
$2$ |
$12672$ |
$1.760887$ |
$-128667913/4096$ |
$[0, -1, 0, -100712, 12669296]$ |
\(y^2=x^3-x^2-100712x+12669296\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 8.4.0-4.a.1.1, 12.16.0-12.a.1.2, $\ldots$ |
$[(202, 726)]$ |
1936.k1 |
1936i2 |
1936.k |
1936i |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \) |
\( - 2^{24} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$3.974153107$ |
$1$ |
|
$2$ |
$1152$ |
$0.561939$ |
$-128667913/4096$ |
$[0, -1, 0, -832, -9216]$ |
\(y^2=x^3-x^2-832x-9216\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 66.8.0-3.a.1.2, $\ldots$ |
$[(90, 798)]$ |
2178.f1 |
2178f2 |
2178.f |
2178f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1.256412102$ |
$1$ |
|
$2$ |
$1152$ |
$0.418098$ |
$-128667913/4096$ |
$[1, -1, 0, -468, -3888]$ |
\(y^2+xy=x^3-x^2-468x-3888\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 33.8.0-3.a.1.2, $\ldots$ |
$[(72, 540)]$ |
2178.l1 |
2178l2 |
2178.l |
2178l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12672$ |
$1.617046$ |
$-128667913/4096$ |
$[1, -1, 1, -56651, 5344859]$ |
\(y^2+xy+y=x^3-x^2-56651x+5344859\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 24.32.0-24.b.2.6 |
$[]$ |
6050.s1 |
6050j2 |
6050.s |
6050j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.673511$ |
$-128667913/4096$ |
$[1, 1, 0, -1300, 18000]$ |
\(y^2+xy=x^3+x^2-1300x+18000\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 165.8.0.?, $\ldots$ |
$[]$ |
6050.bl1 |
6050be2 |
6050.bl |
6050be |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$5.127243220$ |
$1$ |
|
$2$ |
$57024$ |
$1.872458$ |
$-128667913/4096$ |
$[1, 1, 1, -157363, -24744719]$ |
\(y^2+xy+y=x^3+x^2-157363x-24744719\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.1, 24.16.0.b.2, $\ldots$ |
$[(571, 8198)]$ |
7744.g1 |
7744bh2 |
7744.g |
7744bh |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \) |
\( - 2^{30} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.3, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$5.123024410$ |
$1$ |
|
$2$ |
$101376$ |
$2.107460$ |
$-128667913/4096$ |
$[0, 1, 0, -402849, 100951519]$ |
\(y^2=x^3+x^2-402849x+100951519\) |
3.4.0.a.1, 4.4.0-4.a.1.1, 12.16.0-12.a.1.3, 24.32.0-24.b.2.7 |
$[(385, 1752)]$ |
7744.h1 |
7744bg2 |
7744.h |
7744bg |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \) |
\( - 2^{30} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$6.305180889$ |
$1$ |
|
$2$ |
$9216$ |
$0.908513$ |
$-128667913/4096$ |
$[0, 1, 0, -3329, -77057]$ |
\(y^2=x^3+x^2-3329x-77057\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 44.4.0-4.a.1.1, $\ldots$ |
$[(1061, 34524)]$ |
7744.bh1 |
7744k2 |
7744.bh |
7744k |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \) |
\( - 2^{30} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.908513$ |
$-128667913/4096$ |
$[0, -1, 0, -3329, 77057]$ |
\(y^2=x^3-x^2-3329x+77057\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 44.4.0-4.a.1.1, $\ldots$ |
$[]$ |
7744.bi1 |
7744j2 |
7744.bi |
7744j |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \) |
\( - 2^{30} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.3, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$101376$ |
$2.107460$ |
$-128667913/4096$ |
$[0, -1, 0, -402849, -100951519]$ |
\(y^2=x^3-x^2-402849x-100951519\) |
3.4.0.a.1, 4.4.0-4.a.1.1, 12.16.0-12.a.1.3, 24.32.0-24.b.2.2 |
$[]$ |
11858.t1 |
11858q2 |
11858.t |
11858q |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$4.203266769$ |
$1$ |
|
$0$ |
$190080$ |
$2.040695$ |
$-128667913/4096$ |
$[1, 1, 0, -308431, 67591077]$ |
\(y^2+xy=x^3+x^2-308431x+67591077\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 21.8.0-3.a.1.2, 24.16.0.b.2, $\ldots$ |
$[(1342/3, 132835/3)]$ |
11858.bo1 |
11858bl2 |
11858.bo |
11858bl |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1848$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.841747$ |
$-128667913/4096$ |
$[1, 1, 1, -2549, -51941]$ |
\(y^2+xy+y=x^3+x^2-2549x-51941\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 231.8.0.?, $\ldots$ |
$[]$ |
17424.ca1 |
17424cc2 |
17424.ca |
17424cc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$304128$ |
$2.310192$ |
$-128667913/4096$ |
$[0, 0, 0, -906411, -341164582]$ |
\(y^2=x^3-906411x-341164582\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.a.1.4, 24.32.0-24.b.2.3 |
$[]$ |
17424.cc1 |
17424cb2 |
17424.cc |
17424cb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.111246$ |
$-128667913/4096$ |
$[0, 0, 0, -7491, 256322]$ |
\(y^2=x^3-7491x+256322\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 66.8.0-3.a.1.1, $\ldots$ |
$[]$ |
40898.h1 |
40898s2 |
40898.h |
40898s |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$3432$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98496$ |
$1.151266$ |
$-128667913/4096$ |
$[1, 0, 1, -8792, 325158]$ |
\(y^2+xy+y=x^3-8792x+325158\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 429.8.0.?, $\ldots$ |
$[]$ |
40898.bh1 |
40898bv2 |
40898.bh |
40898bv |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$2.749333024$ |
$1$ |
|
$2$ |
$1083456$ |
$2.350216$ |
$-128667913/4096$ |
$[1, 0, 0, -1063774, -433849404]$ |
\(y^2+xy=x^3-1063774x-433849404\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 39.8.0-3.a.1.2, $\ldots$ |
$[(1220, 8586)]$ |
48400.m1 |
48400co2 |
48400.m |
48400co |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{24} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$32$ |
$0$ |
$10.49464282$ |
$1$ |
|
$0$ |
$124416$ |
$1.366657$ |
$-128667913/4096$ |
$[0, 1, 0, -20808, -1193612]$ |
\(y^2=x^3+x^2-20808x-1193612\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 330.8.0.?, $\ldots$ |
$[(58036/13, 12481698/13)]$ |
48400.t1 |
48400cm2 |
48400.t |
48400cm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{24} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$3.118380904$ |
$1$ |
|
$2$ |
$1368576$ |
$2.565605$ |
$-128667913/4096$ |
$[0, 1, 0, -2517808, 1578626388]$ |
\(y^2=x^3+x^2-2517808x+1578626388\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 30.8.0-3.a.1.2, $\ldots$ |
$[(524, 20086)]$ |
54450.x1 |
54450ca2 |
54450.x |
54450ca |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1.413082956$ |
$1$ |
|
$2$ |
$1368576$ |
$2.421764$ |
$-128667913/4096$ |
$[1, -1, 0, -1416267, 666691141]$ |
\(y^2+xy=x^3-x^2-1416267x+666691141\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.2, 24.16.0.b.2, $\ldots$ |
$[(2390, 103349)]$ |
54450.gn1 |
54450ft2 |
54450.gn |
54450ft |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.222816$ |
$-128667913/4096$ |
$[1, -1, 1, -11705, -497703]$ |
\(y^2+xy+y=x^3-x^2-11705x-497703\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 165.8.0.?, $\ldots$ |
$[]$ |
69696.s1 |
69696gy2 |
69696.s |
69696gy |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.656765$ |
$-128667913/4096$ |
$[0, 0, 0, -3625644, -2729316656]$ |
\(y^2=x^3-3625644x-2729316656\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 24.32.0-24.b.2.5 |
$[]$ |
69696.v1 |
69696dj2 |
69696.v |
69696dj |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$3.278568485$ |
$1$ |
|
$2$ |
$221184$ |
$1.457819$ |
$-128667913/4096$ |
$[0, 0, 0, -29964, -2050576]$ |
\(y^2=x^3-29964x-2050576\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 132.16.0.?, $\ldots$ |
$[(1598, 63488)]$ |
69696.y1 |
69696dh2 |
69696.y |
69696dh |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$2.714938611$ |
$1$ |
|
$2$ |
$2433024$ |
$2.656765$ |
$-128667913/4096$ |
$[0, 0, 0, -3625644, 2729316656]$ |
\(y^2=x^3-3625644x+2729316656\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 24.32.0-24.b.2.4 |
$[(2902, 129024)]$ |
69696.bb1 |
69696gw2 |
69696.bb |
69696gw |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.457819$ |
$-128667913/4096$ |
$[0, 0, 0, -29964, 2050576]$ |
\(y^2=x^3-29964x+2050576\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 132.16.0.?, $\ldots$ |
$[]$ |
69938.i1 |
69938g2 |
69938.i |
69938g |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$408$ |
$32$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2661120$ |
$2.484344$ |
$-128667913/4096$ |
$[1, 1, 0, -1819116, -970747312]$ |
\(y^2+xy=x^3+x^2-1819116x-970747312\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
69938.u1 |
69938q2 |
69938.u |
69938q |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$4488$ |
$32$ |
$0$ |
$2.142498612$ |
$1$ |
|
$2$ |
$241920$ |
$1.285398$ |
$-128667913/4096$ |
$[1, 1, 1, -15034, 722503]$ |
\(y^2+xy+y=x^3+x^2-15034x+722503\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 561.8.0.?, $\ldots$ |
$[(73, 107)]$ |
87362.r1 |
87362t2 |
87362.r |
87362t |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$5016$ |
$32$ |
$0$ |
$5.995681958$ |
$1$ |
|
$0$ |
$342144$ |
$1.341011$ |
$-128667913/4096$ |
$[1, 1, 0, -18779, -1025251]$ |
\(y^2+xy=x^3+x^2-18779x-1025251\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 627.8.0.?, $\ldots$ |
$[(47542/13, 8493601/13)]$ |
87362.bq1 |
87362bp2 |
87362.bq |
87362bp |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$456$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3763584$ |
$2.539959$ |
$-128667913/4096$ |
$[1, 1, 1, -2272322, 1353247567]$ |
\(y^2+xy+y=x^3+x^2-2272322x+1353247567\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 57.8.0-3.a.1.2, $\ldots$ |
$[]$ |
94864.t1 |
94864dc2 |
94864.t |
94864dc |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{24} \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4561920$ |
$2.733841$ |
$-128667913/4096$ |
$[0, 1, 0, -4934904, -4335698732]$ |
\(y^2=x^3+x^2-4934904x-4335698732\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 42.8.0-3.a.1.1, $\ldots$ |
$[]$ |
94864.u1 |
94864db2 |
94864.u |
94864db |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{24} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1848$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$1.534895$ |
$-128667913/4096$ |
$[0, 1, 0, -40784, 3242644]$ |
\(y^2=x^3+x^2-40784x+3242644\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 462.8.0.?, $\ldots$ |
$[]$ |
106722.r1 |
106722ds2 |
106722.r |
106722ds |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1848$ |
$32$ |
$0$ |
$1.493919556$ |
$1$ |
|
$10$ |
$414720$ |
$1.391052$ |
$-128667913/4096$ |
$[1, -1, 0, -22941, 1379461]$ |
\(y^2+xy=x^3-x^2-22941x+1379461\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 231.8.0.?, $\ldots$ |
$[(-54, 1595), (74, 251)]$ |
106722.eh1 |
106722hl2 |
106722.eh |
106722hl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$0.824551141$ |
$1$ |
|
$6$ |
$4561920$ |
$2.590000$ |
$-128667913/4096$ |
$[1, -1, 1, -2775884, -1827734961]$ |
\(y^2+xy+y=x^3-x^2-2775884x-1827734961\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 21.8.0-3.a.1.1, 24.16.0.b.2, $\ldots$ |
$[(2753, 105345)]$ |
128018.f1 |
128018l2 |
128018.f |
128018l |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 23^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$552$ |
$32$ |
$0$ |
$1.839760518$ |
$1$ |
|
$4$ |
$6272640$ |
$2.635487$ |
$-128667913/4096$ |
$[1, 0, 1, -3329802, 2401892348]$ |
\(y^2+xy+y=x^3-3329802x+2401892348\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 69.8.0-3.a.1.1, $\ldots$ |
$[(1309, 16273)]$ |
128018.w1 |
128018bd2 |
128018.w |
128018bd |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 23^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$6072$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$570240$ |
$1.436539$ |
$-128667913/4096$ |
$[1, 0, 0, -27519, -1807079]$ |
\(y^2+xy=x^3-27519x-1807079\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 759.8.0.?, $\ldots$ |
$[]$ |
193600.bf1 |
193600gf2 |
193600.bf |
193600gf |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 5^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10948608$ |
$2.912178$ |
$-128667913/4096$ |
$[0, 1, 0, -10071233, -12639082337]$ |
\(y^2=x^3+x^2-10071233x-12639082337\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 20.4.0-4.a.1.1, 24.16.0.b.2, $\ldots$ |
$[]$ |
193600.bx1 |
193600gl2 |
193600.bx |
193600gl |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 5^{6} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$32$ |
$0$ |
$5.422711445$ |
$1$ |
|
$8$ |
$995328$ |
$1.713232$ |
$-128667913/4096$ |
$[0, 1, 0, -83233, 9465663]$ |
\(y^2=x^3+x^2-83233x+9465663\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 220.4.0.?, $\ldots$ |
$[(67, 2048), (137, 808)]$ |
193600.hn1 |
193600em2 |
193600.hn |
193600em |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$32$ |
$0$ |
$31.33692419$ |
$1$ |
|
$0$ |
$995328$ |
$1.713232$ |
$-128667913/4096$ |
$[0, -1, 0, -83233, -9465663]$ |
\(y^2=x^3-x^2-83233x-9465663\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 220.4.0.?, $\ldots$ |
$[(63004038457119/331507, 416847413903826816384/331507)]$ |
193600.io1 |
193600ew2 |
193600.io |
193600ew |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$48.56211643$ |
$1$ |
|
$0$ |
$10948608$ |
$2.912178$ |
$-128667913/4096$ |
$[0, -1, 0, -10071233, 12639082337]$ |
\(y^2=x^3-x^2-10071233x+12639082337\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 20.4.0-4.a.1.1, 24.16.0.b.2, $\ldots$ |
$[(234148733962927443331/929118821, 79915072066911988975985686459452/929118821)]$ |
203522.f1 |
203522o2 |
203522.f |
203522o |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 29^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$7656$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1197504$ |
$1.552441$ |
$-128667913/4096$ |
$[1, 1, 0, -43749, 3599501]$ |
\(y^2+xy=x^3+x^2-43749x+3599501\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 957.8.0.?, $\ldots$ |
$[]$ |
203522.p1 |
203522g2 |
203522.p |
203522g |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 29^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$696$ |
$32$ |
$0$ |
$8.880242183$ |
$1$ |
|
$2$ |
$13172544$ |
$2.751389$ |
$-128667913/4096$ |
$[1, 1, 1, -5293692, -4817404195]$ |
\(y^2+xy+y=x^3+x^2-5293692x-4817404195\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 87.8.0.?, $\ldots$ |
$[(1326573, 1527241465)]$ |
232562.f1 |
232562f2 |
232562.f |
232562f |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 31^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$744$ |
$32$ |
$0$ |
$2.748942179$ |
$1$ |
|
$2$ |
$16156800$ |
$2.784733$ |
$-128667913/4096$ |
$[1, 1, 0, -6049034, 5879212244]$ |
\(y^2+xy=x^3+x^2-6049034x+5879212244\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 93.8.0.?, $\ldots$ |
$[(-2204, 93358)]$ |
232562.k1 |
232562k2 |
232562.k |
232562k |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 31^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$8184$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1468800$ |
$1.585785$ |
$-128667913/4096$ |
$[1, 1, 1, -49992, -4439863]$ |
\(y^2+xy+y=x^3+x^2-49992x-4439863\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 1023.8.0.?, $\ldots$ |
$[]$ |
296450.l1 |
296450l2 |
296450.l |
296450l |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$9240$ |
$32$ |
$0$ |
$4.544213987$ |
$1$ |
|
$0$ |
$1866240$ |
$1.646465$ |
$-128667913/4096$ |
$[1, 0, 1, -63726, -6365152]$ |
\(y^2+xy+y=x^3-63726x-6365152\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 1155.8.0.?, $\ldots$ |
$[(3949/3, 185359/3)]$ |
296450.gs1 |
296450gs2 |
296450.gs |
296450gs |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$840$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20528640$ |
$2.845413$ |
$-128667913/4096$ |
$[1, 0, 0, -7710788, 8464306192]$ |
\(y^2+xy=x^3-7710788x+8464306192\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 105.8.0.?, $\ldots$ |
$[]$ |
327184.eg1 |
327184eg2 |
327184.eg |
327184eg |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$3432$ |
$32$ |
$0$ |
$55.85722864$ |
$1$ |
|
$0$ |
$2363904$ |
$1.844414$ |
$-128667913/4096$ |
$[0, -1, 0, -140664, -20810128]$ |
\(y^2=x^3-x^2-140664x-20810128\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 858.8.0.?, $\ldots$ |
$[(3122067841957392018562466/48190382383, 5270675268078361501158082226396547774/48190382383)]$ |
327184.ej1 |
327184ej2 |
327184.ej |
327184ej |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 11^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$73.49188547$ |
$1$ |
|
$0$ |
$26002944$ |
$3.043362$ |
$-128667913/4096$ |
$[0, -1, 0, -17020384, 27766361856]$ |
\(y^2=x^3-x^2-17020384x+27766361856\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 78.8.0.?, $\ldots$ |
$[(145810208858369060794824878650410/268062599268277, 765717039102528719123962489970251767908906517738/268062599268277)]$ |
331298.e1 |
331298e2 |
331298.e |
331298e |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 37^{2} \) |
\( - 2^{12} \cdot 11^{2} \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$9768$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2410560$ |
$1.674252$ |
$-128667913/4096$ |
$[1, 0, 1, -71217, 7507652]$ |
\(y^2+xy+y=x^3-71217x+7507652\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 1221.8.0.?, $\ldots$ |
$[]$ |
331298.o1 |
331298o2 |
331298.o |
331298o |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 37^{2} \) |
\( - 2^{12} \cdot 11^{8} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$888$ |
$32$ |
$0$ |
$19.24316408$ |
$1$ |
|
$0$ |
$26516160$ |
$2.873199$ |
$-128667913/4096$ |
$[1, 0, 0, -8617199, -10001302343]$ |
\(y^2+xy=x^3-8617199x-10001302343\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 111.8.0.?, $\ldots$ |
$[(1040750366/157, 33410218155065/157)]$ |