| 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 |
| 130050.a1 |
130050gu1 |
130050.a |
130050gu |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$2.416111220$ |
$1$ |
|
$4$ |
$774144$ |
$1.417219$ |
$3681571635/34$ |
$0.92689$ |
$3.86735$ |
$[1, -1, 0, -81552, -8943534]$ |
\(y^2+xy=x^3-x^2-81552x-8943534\) |
408.2.0.? |
$[(-165, 84)]$ |
| 130050.b1 |
130050ek1 |
130050.b |
130050ek |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 17^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$2.807243$ |
$11053587253415/6565418768$ |
$1.03983$ |
$4.82721$ |
$[1, -1, 0, 3529503, 413549901]$ |
\(y^2+xy=x^3-x^2+3529503x+413549901\) |
68.2.0.a.1 |
$[]$ |
| 130050.c1 |
130050el2 |
130050.c |
130050el |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$0.698776215$ |
$1$ |
|
$14$ |
$186624$ |
$0.918714$ |
$33475791145/192$ |
$0.97136$ |
$3.37230$ |
$[1, -1, 0, -11682, 488916]$ |
\(y^2+xy=x^3-x^2-11682x+488916\) |
3.4.0.a.1, 12.8.0.b.1, 255.8.0.?, 1020.16.0.? |
$[(60, 6), (28, 414)]$ |
| 130050.c2 |
130050el1 |
130050.c |
130050el |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$0.698776215$ |
$1$ |
|
$14$ |
$62208$ |
$0.369407$ |
$186745/108$ |
$1.08397$ |
$2.34504$ |
$[1, -1, 0, -207, 81]$ |
\(y^2+xy=x^3-x^2-207x+81\) |
3.4.0.a.1, 12.8.0.b.1, 255.8.0.?, 1020.16.0.? |
$[(-12, 33), (15, 6)]$ |
| 130050.d1 |
130050gg2 |
130050.d |
130050gg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$393216$ |
$1.265537$ |
$1070599167/4$ |
$1.00008$ |
$3.73711$ |
$[1, -1, 0, -48912, -4151404]$ |
\(y^2+xy=x^3-x^2-48912x-4151404\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 60.12.0.bm.1, 68.12.0.n.1, $\ldots$ |
$[]$ |
| 130050.d2 |
130050gg1 |
130050.d |
130050gg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$0.918963$ |
$-250047/16$ |
$0.87335$ |
$3.03590$ |
$[1, -1, 0, -3012, -66304]$ |
\(y^2+xy=x^3-x^2-3012x-66304\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 60.12.0.bn.1, 68.12.0.n.1, $\ldots$ |
$[]$ |
| 130050.e1 |
130050em7 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{9} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$6.686234800$ |
$1$ |
|
$10$ |
$21233664$ |
$3.334797$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.99596$ |
$[1, -1, 0, -346812192, 2486021004216]$ |
\(y^2+xy=x^3-x^2-346812192x+2486021004216\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(10749, -4812), (10935, 27459)]$ |
| 130050.e2 |
130050em8 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{18} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$26.74493920$ |
$1$ |
|
$6$ |
$21233664$ |
$3.334797$ |
$10316097499609/5859375000$ |
$1.13600$ |
$5.36804$ |
$[1, -1, 0, -29490192, 8396838216]$ |
\(y^2+xy=x^3-x^2-29490192x+8396838216\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(285, 3759), (6643, 321659)]$ |
| 130050.e3 |
130050em6 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{12} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2040$ |
$384$ |
$5$ |
$6.686234800$ |
$1$ |
|
$22$ |
$10616832$ |
$2.988224$ |
$4102915888729/9000000$ |
$1.05221$ |
$5.28974$ |
$[1, -1, 0, -21687192, 38805129216]$ |
\(y^2+xy=x^3-x^2-21687192x+38805129216\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(1560, 92856), (3243, 49098)]$ |
| 130050.e4 |
130050em5 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{10} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$26.74493920$ |
$1$ |
|
$6$ |
$7077888$ |
$2.785492$ |
$2656166199049/33750$ |
$1.05017$ |
$5.25282$ |
$[1, -1, 0, -18761067, -31272638409]$ |
\(y^2+xy=x^3-x^2-18761067x-31272638409\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(-2505, 816), (6235, 303656)]$ |
| 130050.e5 |
130050em4 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{18} \cdot 5^{7} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$6.686234800$ |
$1$ |
|
$12$ |
$7077888$ |
$2.785492$ |
$35578826569/5314410$ |
$1.03393$ |
$4.88657$ |
$[1, -1, 0, -4455567, 3119084091]$ |
\(y^2+xy=x^3-x^2-4455567x+3119084091\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(489, 32268), (1645, 14639)]$ |
| 130050.e6 |
130050em2 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2040$ |
$384$ |
$5$ |
$6.686234800$ |
$1$ |
|
$20$ |
$3538944$ |
$2.438919$ |
$702595369/72900$ |
$1.00457$ |
$4.55327$ |
$[1, -1, 0, -1204317, -460542159]$ |
\(y^2+xy=x^3-x^2-1204317x-460542159\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(-771, 3423), (-561, 6468)]$ |
| 130050.e7 |
130050em3 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{9} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1.671558700$ |
$1$ |
|
$19$ |
$5308416$ |
$2.641651$ |
$-273359449/1536000$ |
$1.04920$ |
$4.67447$ |
$[1, -1, 0, -879192, 1038609216]$ |
\(y^2+xy=x^3-x^2-879192x+1038609216\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(-336, 36168), (-21, 32523)]$ |
| 130050.e8 |
130050em1 |
130050.e |
130050em |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1.671558700$ |
$1$ |
|
$23$ |
$1769472$ |
$2.092346$ |
$357911/2160$ |
$0.99689$ |
$4.09992$ |
$[1, -1, 0, 96183, -35278659]$ |
\(y^2+xy=x^3-x^2+96183x-35278659\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(999, 32013), (285, 3759)]$ |
| 130050.f1 |
130050dn1 |
130050.f |
130050dn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{17} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16803072$ |
$3.239937$ |
$52648307940625/708588$ |
$1.09186$ |
$5.71430$ |
$[1, -1, 0, -114802992, 473477342116]$ |
\(y^2+xy=x^3-x^2-114802992x+473477342116\) |
12.2.0.a.1 |
$[]$ |
| 130050.g1 |
130050gh2 |
130050.g |
130050gh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11141120$ |
$2.937557$ |
$1070599167/4$ |
$1.00008$ |
$5.44098$ |
$[1, -1, 0, -39265617, 94713169041]$ |
\(y^2+xy=x^3-x^2-39265617x+94713169041\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 60.12.0.bm.1, 68.12.0.n.1, $\ldots$ |
$[]$ |
| 130050.g2 |
130050gh1 |
130050.g |
130050gh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5570560$ |
$2.590984$ |
$-250047/16$ |
$0.87335$ |
$4.73977$ |
$[1, -1, 0, -2418117, 1525841541]$ |
\(y^2+xy=x^3-x^2-2418117x+1525841541\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 60.12.0.bn.1, 68.12.0.n.1, $\ldots$ |
$[]$ |
| 130050.h1 |
130050en2 |
130050.h |
130050en |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{19} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.42.0.2 |
13B.5.2 |
$26520$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$10902528$ |
$2.930428$ |
$-45145776875761017/2441406250$ |
$1.08253$ |
$5.35822$ |
$[1, -1, 0, -28374567, 58185560591]$ |
\(y^2+xy=x^3-x^2-28374567x+58185560591\) |
13.42.0.a.1, 221.84.2.?, 520.84.2.?, 680.2.0.?, 3315.168.2.?, $\ldots$ |
$[]$ |
| 130050.h2 |
130050en1 |
130050.h |
130050en |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{7} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.42.0.1 |
13B.5.1 |
$26520$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$838656$ |
$1.647953$ |
$-60698457/40960$ |
$0.97803$ |
$3.68915$ |
$[1, -1, 0, -31317, -3131659]$ |
\(y^2+xy=x^3-x^2-31317x-3131659\) |
13.42.0.a.2, 221.84.2.?, 520.84.2.?, 680.2.0.?, 3315.168.2.?, $\ldots$ |
$[]$ |
| 130050.i1 |
130050gv2 |
130050.i |
130050gv |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{16} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$5.103758344$ |
$1$ |
|
$0$ |
$17694720$ |
$3.126904$ |
$294172502025843/2656250000$ |
$1.03353$ |
$5.37268$ |
$[1, -1, 0, -30032067, 62858346341]$ |
\(y^2+xy=x^3-x^2-30032067x+62858346341\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(-5609/2, 2563259/2)]$ |
| 130050.i2 |
130050gv1 |
130050.i |
130050gv |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{11} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.551879172$ |
$1$ |
|
$3$ |
$8847360$ |
$2.780331$ |
$-1847284083/231200000$ |
$1.07629$ |
$4.81245$ |
$[1, -1, 0, -554067, 2340012341]$ |
\(y^2+xy=x^3-x^2-554067x+2340012341\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(2374, 118813)]$ |
| 130050.j1 |
130050eo1 |
130050.j |
130050eo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$2.082740538$ |
$1$ |
|
$2$ |
$4798080$ |
$2.418312$ |
$5831/384$ |
$1.01027$ |
$4.44225$ |
$[1, -1, 0, 161208, 264551616]$ |
\(y^2+xy=x^3-x^2+161208x+264551616\) |
24.2.0.b.1 |
$[(795, 29514)]$ |
| 130050.k1 |
130050ep1 |
130050.k |
130050ep |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{11} \cdot 5^{8} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.607590999$ |
$1$ |
|
$2$ |
$14100480$ |
$2.866512$ |
$-910904761/24300$ |
$0.91872$ |
$5.06035$ |
$[1, -1, 0, -8682192, -10068961284]$ |
\(y^2+xy=x^3-x^2-8682192x-10068961284\) |
6.2.0.a.1 |
$[(5130, 280944)]$ |
| 130050.l1 |
130050do1 |
130050.l |
130050do |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.462231315$ |
$1$ |
|
$4$ |
$774144$ |
$1.596735$ |
$390625/102$ |
$1.04069$ |
$3.64346$ |
$[1, -1, 0, -33867, 1785591]$ |
\(y^2+xy=x^3-x^2-33867x+1785591\) |
408.2.0.? |
$[(183, 1209)]$ |
| 130050.m1 |
130050dp1 |
130050.m |
130050dp |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$7.878493803$ |
$1$ |
|
$0$ |
$6266880$ |
$2.793953$ |
$253265/54$ |
$0.86284$ |
$4.87516$ |
$[1, -1, 0, -4260492, -2688898334]$ |
\(y^2+xy=x^3-x^2-4260492x-2688898334\) |
408.2.0.? |
$[(-151989/10, 17306929/10)]$ |
| 130050.n1 |
130050eq1 |
130050.n |
130050eq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{16} \cdot 5^{13} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345461760$ |
$4.765640$ |
$-29036780124540841/590490000000$ |
$1.05534$ |
$7.00786$ |
$[1, -1, 0, -18200661417, 961569264673741]$ |
\(y^2+xy=x^3-x^2-18200661417x+961569264673741\) |
40.2.0.a.1 |
$[]$ |
| 130050.o1 |
130050dq2 |
130050.o |
130050dq |
$2$ |
$17$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.2 |
17B.4.2 |
$2040$ |
$576$ |
$17$ |
$1$ |
$4$ |
$2$ |
$0$ |
$24969600$ |
$3.357018$ |
$-882216989/131072$ |
$0.95690$ |
$5.48323$ |
$[1, -1, 0, -42950367, 121466910541]$ |
\(y^2+xy=x^3-x^2-42950367x+121466910541\) |
17.72.1.b.2, 40.2.0.a.1, 85.144.5.?, 136.144.5.?, 255.288.5.?, $\ldots$ |
$[]$ |
| 130050.o2 |
130050dq1 |
130050.o |
130050dq |
$2$ |
$17$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.4 |
17B.4.6 |
$2040$ |
$576$ |
$17$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1468800$ |
$1.940409$ |
$-297756989/2$ |
$0.98541$ |
$4.40920$ |
$[1, -1, 0, -684117, -217623209]$ |
\(y^2+xy=x^3-x^2-684117x-217623209\) |
17.72.1.b.1, 40.2.0.a.1, 85.144.5.?, 136.144.5.?, 255.288.5.?, $\ldots$ |
$[]$ |
| 130050.p1 |
130050er2 |
130050.p |
130050er |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{10} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$41472000$ |
$3.655422$ |
$3730569358698025/102$ |
$1.02324$ |
$6.41498$ |
$[1, -1, 0, -1796349492, 29304952537666]$ |
\(y^2+xy=x^3-x^2-1796349492x+29304952537666\) |
5.12.0.a.2, 40.24.0-5.a.2.5, 255.24.0.?, 408.2.0.?, 2040.48.1.? |
$[]$ |
| 130050.p2 |
130050er1 |
130050.p |
130050er |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{11} \cdot 5^{2} \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$8294400$ |
$2.850704$ |
$19088138515945/11040808032$ |
$1.11667$ |
$4.87360$ |
$[1, -1, 0, -4234482, -74243084]$ |
\(y^2+xy=x^3-x^2-4234482x-74243084\) |
5.12.0.a.1, 40.24.0-5.a.1.5, 255.24.0.?, 408.2.0.?, 2040.48.1.? |
$[]$ |
| 130050.q1 |
130050dr1 |
130050.q |
130050dr |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$1020$ |
$192$ |
$5$ |
$1.149748248$ |
$1$ |
|
$4$ |
$1958400$ |
$2.207016$ |
$-1723025/4$ |
$0.91411$ |
$4.49163$ |
$[1, -1, 0, -944217, 354091041]$ |
\(y^2+xy=x^3-x^2-944217x+354091041\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(1084, 24023)]$ |
| 130050.q2 |
130050dr2 |
130050.q |
130050dr |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$1020$ |
$192$ |
$5$ |
$5.748741244$ |
$1$ |
|
$0$ |
$9792000$ |
$3.011734$ |
$1026895/1024$ |
$0.91899$ |
$4.99404$ |
$[1, -1, 0, 6793758, -5797599084]$ |
\(y^2+xy=x^3-x^2+6793758x-5797599084\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(287284/19, 69983202/19)]$ |
| 130050.r1 |
130050ds2 |
130050.r |
130050ds |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{35} \cdot 3^{7} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2040$ |
$48$ |
$1$ |
$4.799793155$ |
$1$ |
|
$2$ |
$21504000$ |
$3.140934$ |
$247336189744145/103079215104$ |
$1.06011$ |
$5.18939$ |
$[1, -1, 0, -14626242, -11385839084]$ |
\(y^2+xy=x^3-x^2-14626242x-11385839084\) |
5.6.0.a.1, 85.12.0.?, 120.12.0.?, 255.24.0.?, 408.2.0.?, $\ldots$ |
$[(-3081, 68053)]$ |
| 130050.r2 |
130050ds1 |
130050.r |
130050ds |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2040$ |
$48$ |
$1$ |
$0.959958631$ |
$1$ |
|
$4$ |
$4300800$ |
$2.336212$ |
$15773608170290225/31104$ |
$1.07096$ |
$4.99557$ |
$[1, -1, 0, -6834717, 6879182341]$ |
\(y^2+xy=x^3-x^2-6834717x+6879182341\) |
5.6.0.a.1, 85.12.0.?, 120.12.0.?, 255.24.0.?, 408.2.0.?, $\ldots$ |
$[(1509, -712)]$ |
| 130050.s1 |
130050gi1 |
130050.s |
130050gi |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{25} \cdot 3^{9} \cdot 5^{4} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14515200$ |
$3.219791$ |
$-11987427957075/570425344$ |
$1.10900$ |
$5.39404$ |
$[1, -1, 0, -31809417, -71827849459]$ |
\(y^2+xy=x^3-x^2-31809417x-71827849459\) |
408.2.0.? |
$[]$ |
| 130050.t1 |
130050gw2 |
130050.t |
130050gw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{16} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$40.85869916$ |
$1$ |
|
$0$ |
$44236800$ |
$3.779076$ |
$13217291350697580147/90312500000$ |
$1.07245$ |
$6.28243$ |
$[1, -1, 0, -1067657667, -13427184341259]$ |
\(y^2+xy=x^3-x^2-1067657667x-13427184341259\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(8578735310871429913/6772559, 24684952107990052439473861911/6772559)]$ |
| 130050.t2 |
130050gw1 |
130050.t |
130050gw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{11} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$20.42934958$ |
$1$ |
|
$1$ |
$22118400$ |
$3.432503$ |
$-3038732943445107/267267200000$ |
$1.01018$ |
$5.58299$ |
$[1, -1, 0, -65405667, -218505233259]$ |
\(y^2+xy=x^3-x^2-65405667x-218505233259\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(363837696873/1399, 218996650314823791/1399)]$ |
| 130050.u1 |
130050es1 |
130050.u |
130050es |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.231342$ |
$47045881/6800$ |
$0.98870$ |
$4.32368$ |
$[1, -1, 0, -489042, -113893884]$ |
\(y^2+xy=x^3-x^2-489042x-113893884\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 120.12.0.?, $\ldots$ |
$[]$ |
| 130050.u2 |
130050es2 |
130050.u |
130050es |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5308416$ |
$2.577915$ |
$214921799/722500$ |
$0.91035$ |
$4.58605$ |
$[1, -1, 0, 811458, -617187384]$ |
\(y^2+xy=x^3-x^2+811458x-617187384\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.2, 68.12.0.d.1, 408.24.0.?, $\ldots$ |
$[]$ |
| 130050.v1 |
130050dt1 |
130050.v |
130050dt |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{11} \cdot 5^{4} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2040$ |
$48$ |
$1$ |
$1.472946541$ |
$1$ |
|
$4$ |
$3916800$ |
$2.579346$ |
$-17624225/1944$ |
$0.95056$ |
$4.70356$ |
$[1, -1, 0, -2049642, 1232903916]$ |
\(y^2+xy=x^3-x^2-2049642x+1232903916\) |
5.6.0.a.1, 85.12.0.?, 120.12.0.?, 255.24.0.?, 408.2.0.?, $\ldots$ |
$[(2529, 109278)]$ |
| 130050.v2 |
130050dt2 |
130050.v |
130050dt |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2040$ |
$48$ |
$1$ |
$7.364732705$ |
$1$ |
|
$0$ |
$19584000$ |
$3.384064$ |
$6655/98304$ |
$1.13538$ |
$5.42785$ |
$[1, -1, 0, 1266633, -87659847459]$ |
\(y^2+xy=x^3-x^2+1266633x-87659847459\) |
5.6.0.a.1, 85.12.0.?, 120.12.0.?, 255.24.0.?, 408.2.0.?, $\ldots$ |
$[(1667259/19, 870159177/19)]$ |
| 130050.w1 |
130050et2 |
130050.w |
130050et |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{14} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40108032$ |
$3.781582$ |
$451747330217/253125000$ |
$1.05420$ |
$5.82418$ |
$[1, -1, 0, -176706792, 161170214616]$ |
\(y^2+xy=x^3-x^2-176706792x+161170214616\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 130050.w2 |
130050et1 |
130050.w |
130050et |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{10} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20054016$ |
$3.435009$ |
$190407092777/360000$ |
$0.98158$ |
$5.75081$ |
$[1, -1, 0, -132489792, 586051367616]$ |
\(y^2+xy=x^3-x^2-132489792x+586051367616\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 130050.x1 |
130050du2 |
130050.x |
130050du |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2040$ |
$48$ |
$1$ |
$53.19201922$ |
$1$ |
|
$0$ |
$22848000$ |
$3.429161$ |
$-18170704189/32$ |
$0.99680$ |
$5.96132$ |
$[1, -1, 0, -302725242, -2027241623084]$ |
\(y^2+xy=x^3-x^2-302725242x-2027241623084\) |
5.6.0.a.1, 40.12.0.bx.2, 85.12.0.?, 255.24.0.?, 680.24.1.?, $\ldots$ |
$[(1306166886856499215565319/3226937501, 1475470558002979646450083709822611153/3226937501)]$ |
| 130050.x2 |
130050du1 |
130050.x |
130050du |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2040$ |
$48$ |
$1$ |
$10.63840384$ |
$1$ |
|
$0$ |
$4569600$ |
$2.624443$ |
$1331/2$ |
$0.94388$ |
$4.60586$ |
$[1, -1, 0, 1266633, -693606209]$ |
\(y^2+xy=x^3-x^2+1266633x-693606209\) |
5.6.0.a.1, 40.12.0.bx.1, 85.12.0.?, 255.24.0.?, 680.24.1.?, $\ldots$ |
$[(219291/17, 128488964/17)]$ |
| 130050.y1 |
130050eu4 |
130050.y |
130050eu |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{26} \cdot 5^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.2, 5.6.0.1 |
2B, 5B |
$2040$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$6553600$ |
$2.724285$ |
$211293405175481/6973568802$ |
$1.13518$ |
$4.90267$ |
$[1, -1, 0, -4746267, 3865968891]$ |
\(y^2+xy=x^3-x^2-4746267x+3865968891\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.18.0.a.1, 20.36.0.b.2, $\ldots$ |
$[]$ |
| 130050.y2 |
130050eu3 |
130050.y |
130050eu |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.2, 5.6.0.1 |
2B, 5B |
$2040$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$3276800$ |
$2.377712$ |
$206226044828441/236196$ |
$1.07449$ |
$4.90061$ |
$[1, -1, 0, -4708017, 3933097641]$ |
\(y^2+xy=x^3-x^2-4708017x+3933097641\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.36.0.b.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
| 130050.y3 |
130050eu2 |
130050.y |
130050eu |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.2, 5.6.0.1 |
2B, 5B |
$2040$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1310720$ |
$1.919567$ |
$551569744601/2592$ |
$1.20056$ |
$4.39754$ |
$[1, -1, 0, -653517, -203180859]$ |
\(y^2+xy=x^3-x^2-653517x-203180859\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.18.0.a.1, 20.36.0.b.1, $\ldots$ |
$[]$ |
| 130050.y4 |
130050eu1 |
130050.y |
130050eu |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.2, 5.6.0.1 |
2B, 5B |
$2040$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$655360$ |
$1.572992$ |
$141420761/9216$ |
$0.99890$ |
$3.69535$ |
$[1, -1, 0, -41517, -3056859]$ |
\(y^2+xy=x^3-x^2-41517x-3056859\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.36.0.b.2, 34.6.0.a.1, $\ldots$ |
$[]$ |
| 130050.z1 |
130050ev1 |
130050.z |
130050ev |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$2.007103$ |
$1771561/612$ |
$1.28490$ |
$4.04520$ |
$[1, -1, 0, -163917, -16175759]$ |
\(y^2+xy=x^3-x^2-163917x-16175759\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
