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 |
299115.a1 |
299115a1 |
299115.a |
299115a |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{2} \cdot 17^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$0.906244571$ |
$1$ |
|
$14$ |
$2101248$ |
$1.642960$ |
$13011038208/2824975$ |
$0.94249$ |
$3.45671$ |
$[0, 0, 1, -42483, 2664074]$ |
\(y^2+y=x^3-42483x+2664074\) |
2346.2.0.? |
$[(-119, 2456), (-51, 2167)]$ |
299115.b1 |
299115b1 |
299115.b |
299115b |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{6} \cdot 5^{5} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$4.550108554$ |
$1$ |
|
$2$ |
$1612800$ |
$1.582432$ |
$37933056/71875$ |
$0.91333$ |
$3.32027$ |
$[0, 0, 1, 18207, 1425998]$ |
\(y^2+y=x^3+18207x+1425998\) |
230.2.0.? |
$[(168, 3037)]$ |
299115.c1 |
299115c1 |
299115.c |
299115c |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{2} \cdot 17^{9} \cdot 23^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$9.103258750$ |
$1$ |
|
$2$ |
$410167296$ |
$4.234627$ |
$47231284096634720256/23820243947848175$ |
$1.05184$ |
$5.87666$ |
$[0, 0, 1, -1109949873, -5102454554516]$ |
\(y^2+y=x^3-1109949873x-5102454554516\) |
2346.2.0.? |
$[(-11411, 2465227)]$ |
299115.d1 |
299115d1 |
299115.d |
299115d |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{7} \cdot 5^{6} \cdot 17^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8183808$ |
$2.068867$ |
$71163817984/18328125$ |
$0.83161$ |
$3.85287$ |
$[0, 0, 1, -224553, 30510958]$ |
\(y^2+y=x^3-224553x+30510958\) |
2346.2.0.? |
$[]$ |
299115.e1 |
299115e1 |
299115.e |
299115e |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{10} \cdot 5 \cdot 17^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$4.994705025$ |
$1$ |
|
$2$ |
$3674112$ |
$1.935070$ |
$2887553024/4927635$ |
$0.92737$ |
$3.65163$ |
$[0, 0, 1, 77163, 11517300]$ |
\(y^2+y=x^3+77163x+11517300\) |
230.2.0.? |
$[(155, 5215)]$ |
299115.f1 |
299115f1 |
299115.f |
299115f |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{11} \cdot 5^{2} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1.452428138$ |
$1$ |
|
$4$ |
$9953280$ |
$2.420303$ |
$833131367796736/2375325$ |
$0.91098$ |
$4.59585$ |
$[0, 0, 1, -5098827, 4431517402]$ |
\(y^2+y=x^3-5098827x+4431517402\) |
2346.2.0.? |
$[(1292, 722)]$ |
299115.g1 |
299115g1 |
299115.g |
299115g |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{2} \cdot 17^{3} \cdot 23^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$0.432239295$ |
$1$ |
|
$6$ |
$24127488$ |
$2.818016$ |
$47231284096634720256/23820243947848175$ |
$1.05184$ |
$4.52843$ |
$[0, 0, 1, -3840657, -1038561888]$ |
\(y^2+y=x^3-3840657x-1038561888\) |
2346.2.0.? |
$[(16472, 2098807)]$ |
299115.h1 |
299115h1 |
299115.h |
299115h |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{4} \cdot 17^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$4.225055047$ |
$1$ |
|
$2$ |
$1769472$ |
$1.824049$ |
$-393043550032251/14375$ |
$0.97728$ |
$4.12355$ |
$[1, -1, 1, -700463, -225469844]$ |
\(y^2+xy+y=x^3-x^2-700463x-225469844\) |
4692.2.0.? |
$[(982, 5246)]$ |
299115.i1 |
299115i1 |
299115.i |
299115i |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{6} \cdot 5 \cdot 17^{11} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3910$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17625600$ |
$2.893002$ |
$-10966054014452809/86377000595$ |
$0.92012$ |
$4.80134$ |
$[1, -1, 1, -12038783, 16189684562]$ |
\(y^2+xy+y=x^3-x^2-12038783x+16189684562\) |
3910.2.0.? |
$[]$ |
299115.j1 |
299115j4 |
299115.j |
299115j |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{11} \cdot 5^{12} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49152000$ |
$3.252186$ |
$3026030815665395929/1364501953125$ |
$1.01324$ |
$5.24601$ |
$[1, -1, 1, -78377288, -266951470458]$ |
\(y^2+xy+y=x^3-x^2-78377288x-266951470458\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 120.12.0.?, 138.6.0.?, $\ldots$ |
$[]$ |
299115.j2 |
299115j3 |
299115.j |
299115j |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{26} \cdot 5^{3} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49152000$ |
$3.252186$ |
$502552788401502649/10024505152875$ |
$1.00677$ |
$5.10362$ |
$[1, -1, 1, -43081718, 106958312106]$ |
\(y^2+xy+y=x^3-x^2-43081718x+106958312106\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
299115.j3 |
299115j2 |
299115.j |
299115j |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{16} \cdot 5^{6} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$23460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$24576000$ |
$2.905613$ |
$1159246431432649/488076890625$ |
$0.99697$ |
$4.62205$ |
$[1, -1, 1, -5692343, -2727158394]$ |
\(y^2+xy+y=x^3-x^2-5692343x-2727158394\) |
2.6.0.a.1, 60.12.0.b.1, 68.12.0-2.a.1.1, 276.12.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
299115.j4 |
299115j1 |
299115.j |
299115j |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{11} \cdot 5^{3} \cdot 17^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288000$ |
$2.559040$ |
$10519294081031/8500170375$ |
$0.97609$ |
$4.24910$ |
$[1, -1, 1, 1187302, -313778928]$ |
\(y^2+xy+y=x^3-x^2+1187302x-313778928\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
299115.k1 |
299115k2 |
299115.k |
299115k |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{14} \cdot 5^{3} \cdot 17^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$20.65749169$ |
$1$ |
|
$0$ |
$26738688$ |
$3.131912$ |
$27371591781353/433846125$ |
$1.06148$ |
$4.99906$ |
$[1, -1, 1, -27761828, -55518209238]$ |
\(y^2+xy+y=x^3-x^2-27761828x-55518209238\) |
2.3.0.a.1, 170.6.0.?, 460.6.0.?, 1564.6.0.?, 7820.12.0.? |
$[(9605944010/1129, 575991473561847/1129)]$ |
299115.k2 |
299115k1 |
299115.k |
299115k |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{10} \cdot 5^{6} \cdot 17^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$41.31498339$ |
$1$ |
|
$1$ |
$13369344$ |
$2.785339$ |
$-2571353/29109375$ |
$0.97807$ |
$4.49947$ |
$[1, -1, 1, -126203, -2413592238]$ |
\(y^2+xy+y=x^3-x^2-126203x-2413592238\) |
2.3.0.a.1, 340.6.0.?, 460.6.0.?, 782.6.0.?, 7820.12.0.? |
$[(1703406397032225398/31118627, 1569466305626275664915454660/31118627)]$ |
299115.l1 |
299115l2 |
299115.l |
299115l |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{2} \cdot 17^{10} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$4.261730994$ |
$1$ |
|
$8$ |
$16809984$ |
$2.990356$ |
$30176289975469345443/25405000175$ |
$0.96865$ |
$5.16701$ |
$[1, -1, 1, -56234108, 162324892802]$ |
\(y^2+xy+y=x^3-x^2-56234108x+162324892802\) |
2.3.0.a.1, 60.6.0.c.1, 138.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(3702, 67942), (4323, -2852)]$ |
299115.l2 |
299115l1 |
299115.l |
299115l |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5 \cdot 17^{8} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$4.261730994$ |
$1$ |
|
$9$ |
$8404992$ |
$2.643784$ |
$-7214453415988083/213911859605$ |
$0.92468$ |
$4.50962$ |
$[1, -1, 1, -3490163, 2574032186]$ |
\(y^2+xy+y=x^3-x^2-3490163x+2574032186\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(-1772, 57385), (1218, 10741)]$ |
299115.m1 |
299115m1 |
299115.m |
299115m |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{9} \cdot 5 \cdot 17^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$13.80579307$ |
$1$ |
|
$1$ |
$2820096$ |
$2.075466$ |
$970299/115$ |
$0.67756$ |
$3.89987$ |
$[1, -1, 1, -273593, 49186576]$ |
\(y^2+xy+y=x^3-x^2-273593x+49186576\) |
2.3.0.a.1, 204.6.0.?, 460.6.0.?, 11730.6.0.?, 23460.12.0.? |
$[(920306/35, 684775841/35)]$ |
299115.m2 |
299115m2 |
299115.m |
299115m |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{2} \cdot 17^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$6.902896538$ |
$1$ |
|
$0$ |
$5640192$ |
$2.422039$ |
$2803221/13225$ |
$0.78155$ |
$4.14005$ |
$[1, -1, 1, 389662, 250285492]$ |
\(y^2+xy+y=x^3-x^2+389662x+250285492\) |
2.3.0.a.1, 102.6.0.?, 460.6.0.?, 23460.12.0.? |
$[(-3224/5, 1766359/5)]$ |
299115.n1 |
299115n1 |
299115.n |
299115n |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{2} \cdot 17^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$1.685816562$ |
$1$ |
|
$2$ |
$1548288$ |
$1.670429$ |
$-3157114563/5170975$ |
$0.81560$ |
$3.45090$ |
$[1, -1, 1, -26498, 3255806]$ |
\(y^2+xy+y=x^3-x^2-26498x+3255806\) |
4692.2.0.? |
$[(285, 4192)]$ |
299115.o1 |
299115o1 |
299115.o |
299115o |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{6} \cdot 5^{5} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3910$ |
$2$ |
$0$ |
$0.403773745$ |
$1$ |
|
$4$ |
$2096640$ |
$1.849678$ |
$-4419017721/1221875$ |
$0.81525$ |
$3.66343$ |
$[1, -1, 1, -88922, 12429244]$ |
\(y^2+xy+y=x^3-x^2-88922x+12429244\) |
3910.2.0.? |
$[(302, 3461)]$ |
299115.p1 |
299115p1 |
299115.p |
299115p |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{9} \cdot 5 \cdot 17^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$3.707000233$ |
$1$ |
|
$3$ |
$165888$ |
$0.658857$ |
$970299/115$ |
$0.67756$ |
$2.55164$ |
$[1, -1, 1, -947, 10234]$ |
\(y^2+xy+y=x^3-x^2-947x+10234\) |
2.3.0.a.1, 204.6.0.?, 460.6.0.?, 11730.6.0.?, 23460.12.0.? |
$[(38, 148)]$ |
299115.p2 |
299115p2 |
299115.p |
299115p |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{2} \cdot 17^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$1.853500116$ |
$1$ |
|
$4$ |
$331776$ |
$1.005432$ |
$2803221/13225$ |
$0.78155$ |
$2.79182$ |
$[1, -1, 1, 1348, 50626]$ |
\(y^2+xy+y=x^3-x^2+1348x+50626\) |
2.3.0.a.1, 102.6.0.?, 460.6.0.?, 23460.12.0.? |
$[(-4, 214)]$ |
299115.q1 |
299115q2 |
299115.q |
299115q |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{14} \cdot 5^{3} \cdot 17^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$1.317796889$ |
$1$ |
|
$6$ |
$1572864$ |
$1.715305$ |
$27371591781353/433846125$ |
$1.06148$ |
$3.65083$ |
$[1, -1, 1, -96062, -11277664]$ |
\(y^2+xy+y=x^3-x^2-96062x-11277664\) |
2.3.0.a.1, 170.6.0.?, 460.6.0.?, 1564.6.0.?, 7820.12.0.? |
$[(-174, 469)]$ |
299115.q2 |
299115q1 |
299115.q |
299115q |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{10} \cdot 5^{6} \cdot 17^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7820$ |
$12$ |
$0$ |
$2.635593778$ |
$1$ |
|
$5$ |
$786432$ |
$1.368732$ |
$-2571353/29109375$ |
$0.97807$ |
$3.15124$ |
$[1, -1, 1, -437, -491164]$ |
\(y^2+xy+y=x^3-x^2-437x-491164\) |
2.3.0.a.1, 340.6.0.?, 460.6.0.?, 782.6.0.?, 7820.12.0.? |
$[(166, 1914)]$ |
299115.r1 |
299115r3 |
299115.r |
299115r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{10} \cdot 5 \cdot 17^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$2.963646315$ |
$1$ |
|
$2$ |
$5308416$ |
$2.482857$ |
$18653901818761/1926705285$ |
$0.99070$ |
$4.29454$ |
$[1, -1, 1, -1437107, 601381766]$ |
\(y^2+xy+y=x^3-x^2-1437107x+601381766\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 170.6.0.?, 204.12.0.?, $\ldots$ |
$[(-1296, 17554)]$ |
299115.r2 |
299115r2 |
299115.r |
299115r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{8} \cdot 5^{2} \cdot 17^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$23460$ |
$48$ |
$0$ |
$5.927292631$ |
$1$ |
|
$4$ |
$2654208$ |
$2.136284$ |
$229333309561/34398225$ |
$0.84331$ |
$3.94568$ |
$[1, -1, 1, -331682, -63199744]$ |
\(y^2+xy+y=x^3-x^2-331682x-63199744\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 204.12.0.?, 276.12.0.?, 340.12.0.?, $\ldots$ |
$[(13936, 1636719)]$ |
299115.r3 |
299115r1 |
299115.r |
299115r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{7} \cdot 5 \cdot 17^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$11.85458526$ |
$1$ |
|
$1$ |
$1327104$ |
$1.789711$ |
$203401212841/5865$ |
$0.83810$ |
$3.93616$ |
$[1, -1, 1, -318677, -69161236]$ |
\(y^2+xy+y=x^3-x^2-318677x-69161236\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 408.12.0.?, 552.12.0.?, $\ldots$ |
$[(2188834/25, 3165606502/25)]$ |
299115.r4 |
299115r4 |
299115.r |
299115r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{7} \cdot 5^{4} \cdot 17^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46920$ |
$48$ |
$0$ |
$2.963646315$ |
$1$ |
|
$4$ |
$5308416$ |
$2.482857$ |
$1137566234519/3601843125$ |
$0.88594$ |
$4.19147$ |
$[1, -1, 1, 565663, -346401826]$ |
\(y^2+xy+y=x^3-x^2+565663x-346401826\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 204.12.0.?, 276.12.0.?, $\ldots$ |
$[(472, 4821)]$ |
299115.s1 |
299115s2 |
299115.s |
299115s |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{8} \cdot 5^{6} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$0.714048281$ |
$1$ |
|
$8$ |
$7962624$ |
$2.516567$ |
$991653330582361/54984375$ |
$0.90524$ |
$4.60967$ |
$[1, -1, 1, -5403632, 4835899356]$ |
\(y^2+xy+y=x^3-x^2-5403632x+4835899356\) |
2.3.0.a.1, 60.6.0.c.1, 1564.6.0.?, 23460.12.0.? |
$[(1356, 44)]$ |
299115.s2 |
299115s1 |
299115.s |
299115s |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{7} \cdot 5^{3} \cdot 17^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$1.428096563$ |
$1$ |
|
$7$ |
$3981312$ |
$2.169994$ |
$-203401212841/57330375$ |
$0.84547$ |
$3.96763$ |
$[1, -1, 1, -318677, 84517404]$ |
\(y^2+xy+y=x^3-x^2-318677x+84517404\) |
2.3.0.a.1, 30.6.0.a.1, 1564.6.0.?, 23460.12.0.? |
$[(-378, 12471)]$ |
299115.t1 |
299115t2 |
299115.t |
299115t |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{2} \cdot 17^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2359296$ |
$1.855919$ |
$87705926307/48024575$ |
$0.91398$ |
$3.60805$ |
$[1, -1, 1, -80252, -2009774]$ |
\(y^2+xy+y=x^3-x^2-80252x-2009774\) |
2.3.0.a.1, 60.6.0.c.1, 138.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
299115.t2 |
299115t1 |
299115.t |
299115t |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5 \cdot 17^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.509346$ |
$1249243533/764405$ |
$0.86573$ |
$3.27086$ |
$[1, -1, 1, 19453, -254966]$ |
\(y^2+xy+y=x^3-x^2+19453x-254966\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
299115.u1 |
299115u1 |
299115.u |
299115u |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{4} \cdot 17^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$22.14082765$ |
$1$ |
|
$0$ |
$30081024$ |
$3.240654$ |
$-393043550032251/14375$ |
$0.97728$ |
$5.47178$ |
$[1, -1, 1, -202433717, -1108543077134]$ |
\(y^2+xy+y=x^3-x^2-202433717x-1108543077134\) |
4692.2.0.? |
$[(756772668359/5062, 558584556198212077/5062)]$ |
299115.v1 |
299115v1 |
299115.v |
299115v |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{8} \cdot 5^{5} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$7.631489436$ |
$1$ |
|
$0$ |
$3061760$ |
$2.217800$ |
$-43258336804864/646875$ |
$1.00304$ |
$4.36125$ |
$[0, 0, 1, -1902198, 1009804509]$ |
\(y^2+y=x^3-1902198x+1009804509\) |
230.2.0.? |
$[(-2191/2, 347549/2)]$ |
299115.w1 |
299115w1 |
299115.w |
299115w |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{6} \cdot 5^{5} \cdot 17^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$14.43878042$ |
$1$ |
|
$0$ |
$9987840$ |
$2.805573$ |
$4848615424/1653125$ |
$1.00814$ |
$4.53864$ |
$[0, 0, 1, -4009008, -1980345551]$ |
\(y^2+y=x^3-4009008x-1980345551\) |
10.2.0.a.1 |
$[(-2313011/55, 4202386987/55)]$ |
299115.x1 |
299115x2 |
299115.x |
299115x |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{9} \cdot 5^{4} \cdot 17^{7} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49766400$ |
$3.564774$ |
$251570368953936248832/129274375$ |
$1.08315$ |
$5.85800$ |
$[0, 0, 1, -1026219348, -12653434200922]$ |
\(y^2+y=x^3-1026219348x-12653434200922\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 138.8.0.?, 2346.16.0.? |
$[]$ |
299115.x2 |
299115x1 |
299115.x |
299115x |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{12} \cdot 17^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16588800$ |
$3.015469$ |
$365390928210198528/27587646484375$ |
$0.98142$ |
$4.81695$ |
$[0, 0, 1, -12913098, -16654700297]$ |
\(y^2+y=x^3-12913098x-16654700297\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 138.8.0.?, 2346.16.0.? |
$[]$ |
299115.y1 |
299115y1 |
299115.y |
299115y |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{11} \cdot 5^{4} \cdot 17^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9052160$ |
$2.655689$ |
$24693014528/3493125$ |
$0.89020$ |
$4.44304$ |
$[0, 0, 1, -2682498, 1469906959]$ |
\(y^2+y=x^3-2682498x+1469906959\) |
2346.2.0.? |
$[]$ |
299115.z1 |
299115z1 |
299115.z |
299115z |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{8} \cdot 5 \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$10.71482537$ |
$1$ |
|
$2$ |
$645120$ |
$1.229834$ |
$-262144/1035$ |
$0.88491$ |
$3.02370$ |
$[0, 0, 1, -3468, -219857]$ |
\(y^2+y=x^3-3468x-219857\) |
230.2.0.? |
$[(135013, 49609327)]$ |
299115.ba1 |
299115ba1 |
299115.ba |
299115ba |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{9} \cdot 5^{4} \cdot 17^{11} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$3.263202372$ |
$1$ |
|
$0$ |
$28753920$ |
$3.058956$ |
$93369052798418944/551081998125$ |
$0.95971$ |
$4.97013$ |
$[0, 0, 1, -24582918, 46673697748]$ |
\(y^2+y=x^3-24582918x+46673697748\) |
2346.2.0.? |
$[(380086/11, 28187672/11)]$ |
299115.bb1 |
299115bb1 |
299115.bb |
299115bb |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{11} \cdot 5^{4} \cdot 17^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2346$ |
$2$ |
$0$ |
$0.520432959$ |
$1$ |
|
$14$ |
$532480$ |
$1.239082$ |
$24693014528/3493125$ |
$0.89020$ |
$3.09480$ |
$[0, 0, 1, -9282, 299187]$ |
\(y^2+y=x^3-9282x+299187\) |
2346.2.0.? |
$[(17, 382), (77, 202)]$ |
299115.bc1 |
299115bc1 |
299115.bc |
299115bc |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{6} \cdot 5^{5} \cdot 17^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.509816043$ |
$1$ |
|
$10$ |
$587520$ |
$1.388966$ |
$4848615424/1653125$ |
$1.00814$ |
$3.19040$ |
$[0, 0, 1, -13872, -403083]$ |
\(y^2+y=x^3-13872x-403083\) |
10.2.0.a.1 |
$[(-93, 287), (137, 517)]$ |
299115.bd1 |
299115bd2 |
299115.bd |
299115bd |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{9} \cdot 5^{12} \cdot 17^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49766400$ |
$3.564774$ |
$365390928210198528/27587646484375$ |
$0.98142$ |
$5.33974$ |
$[0, 0, 1, -116217882, 449676908012]$ |
\(y^2+y=x^3-116217882x+449676908012\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 138.8.0.?, 2346.16.0.? |
$[]$ |
299115.bd2 |
299115bd1 |
299115.bd |
299115bd |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{4} \cdot 17^{7} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16588800$ |
$3.015469$ |
$251570368953936248832/129274375$ |
$1.08315$ |
$5.33520$ |
$[0, 0, 1, -114024372, 468645711145]$ |
\(y^2+y=x^3-114024372x+468645711145\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 138.8.0.?, 2346.16.0.? |
$[]$ |
299115.be1 |
299115be3 |
299115.be |
299115be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{7} \cdot 5^{2} \cdot 17^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9384$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5898240$ |
$2.244236$ |
$7679186557489/20988075$ |
$0.94915$ |
$4.22415$ |
$[1, -1, 0, -1069065, 424717150]$ |
\(y^2+xy=x^3-x^2-1069065x+424717150\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 184.12.0.?, $\ldots$ |
$[]$ |
299115.be2 |
299115be4 |
299115.be |
299115be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{7} \cdot 5^{8} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9384$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5898240$ |
$2.244236$ |
$6117442271569/26953125$ |
$0.94767$ |
$4.20611$ |
$[1, -1, 0, -991035, -378039884]$ |
\(y^2+xy=x^3-x^2-991035x-378039884\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 68.12.0-4.c.1.1, 138.6.0.?, $\ldots$ |
$[]$ |
299115.be3 |
299115be2 |
299115.be |
299115be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{8} \cdot 5^{4} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4692$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2949120$ |
$1.897661$ |
$5168743489/2975625$ |
$0.99205$ |
$3.64489$ |
$[1, -1, 0, -93690, 819175]$ |
\(y^2+xy=x^3-x^2-93690x+819175\) |
2.6.0.a.1, 12.12.0.a.1, 68.12.0-2.a.1.1, 92.12.0.?, 204.24.0.?, $\ldots$ |
$[]$ |
299115.be4 |
299115be1 |
299115.be |
299115be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( - 3^{10} \cdot 5^{2} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9384$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.551088$ |
$80062991/46575$ |
$0.95431$ |
$3.31435$ |
$[1, -1, 0, 23355, 93496]$ |
\(y^2+xy=x^3-x^2+23355x+93496\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[]$ |
299115.bf1 |
299115bf1 |
299115.bf |
299115bf |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \cdot 23 \) |
\( 3^{3} \cdot 5 \cdot 17^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23460$ |
$12$ |
$0$ |
$2.863688904$ |
$1$ |
|
$3$ |
$55296$ |
$0.109552$ |
$970299/115$ |
$0.67756$ |
$2.02884$ |
$[1, -1, 0, -105, -344]$ |
\(y^2+xy=x^3-x^2-105x-344\) |
2.3.0.a.1, 204.6.0.?, 460.6.0.?, 11730.6.0.?, 23460.12.0.? |
$[(12, -2)]$ |