| 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 |
| 61200.a1 |
61200dv1 |
61200.a |
61200dv |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.235815088$ |
$1$ |
|
$8$ |
$64512$ |
$0.693760$ |
$3681571635/34$ |
$0.92689$ |
$3.34417$ |
$[0, 0, 0, -4515, 116770]$ |
\(y^2=x^3-4515x+116770\) |
408.2.0.? |
$[(41, 24)]$ |
| 61200.b1 |
61200gh1 |
61200.b |
61200gh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{11} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.996140$ |
$-34158804736/1045659375$ |
$0.98248$ |
$4.28803$ |
$[0, 0, 0, -38325, 21200875]$ |
\(y^2=x^3-38325x+21200875\) |
510.2.0.? |
$[]$ |
| 61200.c1 |
61200cx1 |
61200.c |
61200cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$2.144529292$ |
$1$ |
|
$8$ |
$122880$ |
$1.004534$ |
$87808/51$ |
$0.88354$ |
$3.19655$ |
$[0, 0, 0, 2625, 3125]$ |
\(y^2=x^3+2625x+3125\) |
510.2.0.? |
$[(100, 1125), (25/2, 1125/2)]$ |
| 61200.d1 |
61200ha1 |
61200.d |
61200ha |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{11} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$1.920874$ |
$352224985/33048$ |
$0.89416$ |
$4.30640$ |
$[0, 0, 0, -154875, -21473750]$ |
\(y^2=x^3-154875x-21473750\) |
408.2.0.? |
$[]$ |
| 61200.e1 |
61200gg1 |
61200.e |
61200gg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$2.083782$ |
$11053587253415/6565418768$ |
$1.03983$ |
$4.36967$ |
$[0, 0, 0, 195405, -5398670]$ |
\(y^2=x^3+195405x-5398670\) |
68.2.0.a.1 |
$[]$ |
| 61200.f1 |
61200dj1 |
61200.f |
61200dj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.243065$ |
$3681571635/34$ |
$0.92689$ |
$3.94222$ |
$[0, 0, 0, -40635, -3152790]$ |
\(y^2=x^3-40635x-3152790\) |
408.2.0.? |
$[]$ |
| 61200.g1 |
61200gd4 |
61200.g |
61200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.847706$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.67390$ |
$[0, 0, 0, -23547675, -43980925750]$ |
\(y^2=x^3-23547675x-43980925750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
| 61200.g2 |
61200gd2 |
61200.g |
61200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1769472$ |
$2.501133$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.92725$ |
$[0, 0, 0, -1515675, -643981750]$ |
\(y^2=x^3-1515675x-643981750\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 61200.g3 |
61200gd1 |
61200.g |
61200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.154556$ |
$114013572049/15667200$ |
$0.93207$ |
$4.53875$ |
$[0, 0, 0, -363675, 73714250]$ |
\(y^2=x^3-363675x+73714250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 61200.g4 |
61200gd3 |
61200.g |
61200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{14} \cdot 5^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.847706$ |
$21464092074671/109596256200$ |
$1.00093$ |
$5.20061$ |
$[0, 0, 0, 2084325, -3239581750]$ |
\(y^2=x^3+2084325x-3239581750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 61200.h1 |
61200fc2 |
61200.h |
61200fc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$8.907145771$ |
$1$ |
|
$2$ |
$373248$ |
$1.787949$ |
$-23100424192/14739$ |
$1.03897$ |
$4.39400$ |
$[0, 0, 0, -213600, -38018000]$ |
\(y^2=x^3-213600x-38018000\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 102.8.0.?, 1020.16.0.? |
$[(28889, 4909563)]$ |
| 61200.h2 |
61200fc1 |
61200.h |
61200fc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$2.969048590$ |
$1$ |
|
$2$ |
$124416$ |
$1.238642$ |
$32768/459$ |
$1.01165$ |
$3.45745$ |
$[0, 0, 0, 2400, -218000]$ |
\(y^2=x^3+2400x-218000\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 102.8.0.?, 1020.16.0.? |
$[(89, 837)]$ |
| 61200.i1 |
61200gx2 |
61200.i |
61200gx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{9} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$4.043666754$ |
$1$ |
|
$15$ |
$2457600$ |
$2.696060$ |
$337575153545189/2448$ |
$1.21783$ |
$5.70203$ |
$[0, 0, 0, -26110875, 51354706250]$ |
\(y^2=x^3-26110875x+51354706250\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(2941, 864), (2951, 74)]$ |
| 61200.i2 |
61200gx1 |
61200.i |
61200gx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{9} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$4.043666754$ |
$1$ |
|
$17$ |
$1228800$ |
$2.349487$ |
$-82256120549/221952$ |
$0.95304$ |
$4.94762$ |
$[0, 0, 0, -1630875, 803506250]$ |
\(y^2=x^3-1630875x+803506250\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(775, 2250), (829, 4608)]$ |
| 61200.j1 |
61200ck1 |
61200.j |
61200ck |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$3.420465939$ |
$1$ |
|
$3$ |
$112640$ |
$1.120419$ |
$702464/153$ |
$0.78902$ |
$3.38522$ |
$[0, 0, 0, -5250, -115625]$ |
\(y^2=x^3-5250x-115625\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(119, 972)]$ |
| 61200.j2 |
61200ck2 |
61200.j |
61200ck |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.710232969$ |
$1$ |
|
$5$ |
$225280$ |
$1.466991$ |
$476656/867$ |
$0.79518$ |
$3.67075$ |
$[0, 0, 0, 11625, -706250]$ |
\(y^2=x^3+11625x-706250\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(101, 1224)]$ |
| 61200.k1 |
61200gy1 |
61200.k |
61200gy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.951844074$ |
$1$ |
|
$16$ |
$345600$ |
$1.566935$ |
$-121945/918$ |
$0.85539$ |
$3.82293$ |
$[0, 0, 0, -10875, -1633750]$ |
\(y^2=x^3-10875x-1633750\) |
408.2.0.? |
$[(175, 1350), (325, 5400)]$ |
| 61200.l1 |
61200di2 |
61200.l |
61200di |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{16} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$2.952751$ |
$294172502025843/2656250000$ |
$1.03353$ |
$5.55050$ |
$[0, 0, 0, -14964075, 22105892250]$ |
\(y^2=x^3-14964075x+22105892250\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 61200.l2 |
61200di1 |
61200.l |
61200di |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{9} \cdot 5^{11} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.606174$ |
$-1847284083/231200000$ |
$1.07629$ |
$4.95196$ |
$[0, 0, 0, -276075, 822980250]$ |
\(y^2=x^3-276075x+822980250\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 61200.m1 |
61200bp4 |
61200.m |
61200bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{13} \cdot 5^{18} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$4.120392$ |
$1059623036730633329075378/154307373046875$ |
$1.05545$ |
$7.18505$ |
$[0, 0, 0, -6068784675, 181970359029250]$ |
\(y^2=x^3-6068784675x+181970359029250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.2, 24.24.0-24.s.1.8, $\ldots$ |
$[]$ |
| 61200.m2 |
61200bp3 |
61200.m |
61200bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{34} \cdot 5^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$4.120392$ |
$1664865424893526702418/826424127435466125$ |
$1.06099$ |
$6.59931$ |
$[0, 0, 0, -705522675, -2720320136750]$ |
\(y^2=x^3-705522675x-2720320136750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.y.1.15, $\ldots$ |
$[]$ |
| 61200.m3 |
61200bp2 |
61200.m |
61200bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$20643840$ |
$3.773815$ |
$521902963282042184836/6241849278890625$ |
$1.03337$ |
$6.43118$ |
$[0, 0, 0, -380397675, 2825987238250]$ |
\(y^2=x^3-380397675x+2825987238250\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.b.1.5, $\ldots$ |
$[]$ |
| 61200.m4 |
61200bp1 |
61200.m |
61200bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10321920$ |
$3.427242$ |
$-3579968623693264/1906997690433375$ |
$1.07223$ |
$5.84596$ |
$[0, 0, 0, -4553175, 113517481750]$ |
\(y^2=x^3-4553175x+113517481750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 61200.n1 |
61200ca1 |
61200.n |
61200ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$2.335577248$ |
$1$ |
|
$2$ |
$138240$ |
$1.200022$ |
$-2249728/4131$ |
$0.90547$ |
$3.43393$ |
$[0, 0, 0, -3900, 191500]$ |
\(y^2=x^3-3900x+191500\) |
102.2.0.? |
$[(-79, 81)]$ |
| 61200.o1 |
61200cw1 |
61200.o |
61200cw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1198080$ |
$2.269821$ |
$29860725364736/3581577$ |
$1.00764$ |
$4.97888$ |
$[0, 0, 0, -1832250, 954509375]$ |
\(y^2=x^3-1832250x+954509375\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 61200.o2 |
61200cw2 |
61200.o |
61200cw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2396160$ |
$2.616398$ |
$-1439609866256/651714363$ |
$0.96496$ |
$5.00776$ |
$[0, 0, 0, -1680375, 1119293750]$ |
\(y^2=x^3-1680375x+1119293750\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 61200.p1 |
61200gb1 |
61200.p |
61200gb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{27} \cdot 3^{29} \cdot 5^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$11128320$ |
$3.434990$ |
$-192607474931043120625/52443022624653312$ |
$1.09001$ |
$5.91741$ |
$[0, 0, 0, -50659275, -168294093190]$ |
\(y^2=x^3-50659275x-168294093190\) |
408.2.0.? |
$[]$ |
| 61200.q1 |
61200cj1 |
61200.q |
61200cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$5.384830793$ |
$1$ |
|
$2$ |
$103680$ |
$1.043058$ |
$-63710026/4913$ |
$0.87492$ |
$3.36961$ |
$[0, 0, 0, -4755, -134350]$ |
\(y^2=x^3-4755x-134350\) |
680.2.0.? |
$[(935, 28510)]$ |
| 61200.r1 |
61200du2 |
61200.r |
61200du |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{16} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$11.02788591$ |
$1$ |
|
$1$ |
$1474560$ |
$2.403442$ |
$294172502025843/2656250000$ |
$1.03353$ |
$4.95245$ |
$[0, 0, 0, -1662675, -818736750]$ |
\(y^2=x^3-1662675x-818736750\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(104551/5, 31959326/5)]$ |
| 61200.r2 |
61200du1 |
61200.r |
61200du |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{3} \cdot 5^{11} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$5.513942959$ |
$1$ |
|
$3$ |
$737280$ |
$2.056870$ |
$-1847284083/231200000$ |
$1.07629$ |
$4.35391$ |
$[0, 0, 0, -30675, -30480750]$ |
\(y^2=x^3-30675x-30480750\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(4095, 261750)]$ |
| 61200.s1 |
61200gc1 |
61200.s |
61200gc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.902479$ |
$151732224/85$ |
$1.02320$ |
$3.43484$ |
$[0, 0, 0, -6300, 192375]$ |
\(y^2=x^3-6300x+192375\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 170.6.0.?, 340.24.0.?, $\ldots$ |
$[]$ |
| 61200.s2 |
61200gc2 |
61200.s |
61200gc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.249052$ |
$-5256144/7225$ |
$0.89008$ |
$3.49167$ |
$[0, 0, 0, -5175, 263250]$ |
\(y^2=x^3-5175x+263250\) |
2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 340.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 61200.t1 |
61200cc4 |
61200.t |
61200cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$2.585140057$ |
$1$ |
|
$7$ |
$524288$ |
$1.806330$ |
$22994537186/111537$ |
$1.03807$ |
$4.33060$ |
$[0, 0, 0, -169275, -26693750]$ |
\(y^2=x^3-169275x-26693750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[(-225, 50)]$ |
| 61200.t2 |
61200cc2 |
61200.t |
61200cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1.292570028$ |
$1$ |
|
$15$ |
$262144$ |
$1.459757$ |
$40873252/23409$ |
$1.13826$ |
$3.69317$ |
$[0, 0, 0, -16275, 81250]$ |
\(y^2=x^3-16275x+81250\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(-55, 900)]$ |
| 61200.t3 |
61200cc1 |
61200.t |
61200cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$2.585140057$ |
$1$ |
|
$5$ |
$131072$ |
$1.113182$ |
$61918288/153$ |
$0.87866$ |
$3.60508$ |
$[0, 0, 0, -11775, 490750]$ |
\(y^2=x^3-11775x+490750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(90, 400)]$ |
| 61200.t4 |
61200cc3 |
61200.t |
61200cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2040$ |
$48$ |
$0$ |
$0.646285014$ |
$1$ |
|
$9$ |
$524288$ |
$1.806330$ |
$1285471294/751689$ |
$1.05433$ |
$4.06893$ |
$[0, 0, 0, 64725, 648250]$ |
\(y^2=x^3+64725x+648250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(41, 1836)]$ |
| 61200.u1 |
61200cb4 |
61200.u |
61200cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{7} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$4.025992385$ |
$1$ |
|
$7$ |
$1769472$ |
$2.563305$ |
$50700519510140162/2295$ |
$1.00161$ |
$5.65580$ |
$[0, 0, 0, -22032075, 39804412250]$ |
\(y^2=x^3-22032075x+39804412250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 136.24.0.?, 2040.48.0.? |
$[(2714, 362)]$ |
| 61200.u2 |
61200cb3 |
61200.u |
61200cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{18} \cdot 5^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2040$ |
$48$ |
$0$ |
$4.025992385$ |
$1$ |
|
$3$ |
$1769472$ |
$2.563305$ |
$16981825082402/5646560625$ |
$0.97239$ |
$4.92983$ |
$[0, 0, 0, -1530075, 475150250]$ |
\(y^2=x^3-1530075x+475150250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(1130, 13750)]$ |
| 61200.u3 |
61200cb2 |
61200.u |
61200cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$2.012996192$ |
$1$ |
|
$9$ |
$884736$ |
$2.216732$ |
$24759905519524/5267025$ |
$0.95694$ |
$4.90115$ |
$[0, 0, 0, -1377075, 621877250]$ |
\(y^2=x^3-1377075x+621877250\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.4, 136.24.0.?, 2040.48.0.? |
$[(589, 3888)]$ |
| 61200.u4 |
61200cb1 |
61200.u |
61200cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$1.006498096$ |
$1$ |
|
$7$ |
$442368$ |
$1.870159$ |
$-17029316176/11275335$ |
$0.90021$ |
$4.18389$ |
$[0, 0, 0, -76575, 11942750]$ |
\(y^2=x^3-76575x+11942750\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 30.6.0.a.1, 60.24.0-60.g.1.1, 136.24.0.?, $\ldots$ |
$[(5, 3400)]$ |
| 61200.v1 |
61200hl2 |
61200.v |
61200hl |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.071026639$ |
$1$ |
|
$5$ |
$327680$ |
$1.600292$ |
$69375867029/1003833$ |
$0.95207$ |
$4.05561$ |
$[0, 0, 0, -61635, -5815550]$ |
\(y^2=x^3-61635x-5815550\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-145, 270)]$ |
| 61200.v2 |
61200hl1 |
61200.v |
61200hl |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.035513319$ |
$1$ |
|
$7$ |
$163840$ |
$1.253719$ |
$-24389/70227$ |
$1.02818$ |
$3.47963$ |
$[0, 0, 0, -435, -246350]$ |
\(y^2=x^3-435x-246350\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(89, 648)]$ |
| 61200.w1 |
61200fd4 |
61200.w |
61200fd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$3.750384857$ |
$1$ |
|
$3$ |
$995328$ |
$2.226658$ |
$159661140625/48275138$ |
$1.06848$ |
$4.56930$ |
$[0, 0, 0, -406875, -69029750]$ |
\(y^2=x^3-406875x-69029750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(-379, 5544)]$ |
| 61200.w2 |
61200fd3 |
61200.w |
61200fd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$7.500769714$ |
$1$ |
|
$1$ |
$497664$ |
$1.880087$ |
$120920208625/19652$ |
$0.98564$ |
$4.54409$ |
$[0, 0, 0, -370875, -86921750]$ |
\(y^2=x^3-370875x-86921750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(37055/7, 2767050/7)]$ |
| 61200.w3 |
61200fd2 |
61200.w |
61200fd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1.250128285$ |
$1$ |
|
$7$ |
$331776$ |
$1.677353$ |
$8805624625/2312$ |
$0.96590$ |
$4.30640$ |
$[0, 0, 0, -154875, 23454250]$ |
\(y^2=x^3-154875x+23454250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(221, 144)]$ |
| 61200.w4 |
61200fd1 |
61200.w |
61200fd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$2.500256571$ |
$1$ |
|
$5$ |
$165888$ |
$1.330780$ |
$3048625/1088$ |
$0.90010$ |
$3.58343$ |
$[0, 0, 0, -10875, 270250]$ |
\(y^2=x^3-10875x+270250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(-51, 832)]$ |
| 61200.x1 |
61200gu1 |
61200.x |
61200gu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.253456717$ |
$1$ |
|
$24$ |
$64512$ |
$0.873276$ |
$390625/102$ |
$1.04069$ |
$3.10497$ |
$[0, 0, 0, -1875, -23150]$ |
\(y^2=x^3-1875x-23150\) |
408.2.0.? |
$[(65, 360), (-25, 90)]$ |
| 61200.y1 |
61200fy1 |
61200.y |
61200fy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{25} \cdot 3^{13} \cdot 5^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4193280$ |
$2.923080$ |
$1288009359025/304570368$ |
$1.16064$ |
$5.34281$ |
$[0, 0, 0, -6976875, 5454756250]$ |
\(y^2=x^3-6976875x+5454756250\) |
408.2.0.? |
$[]$ |
| 61200.z1 |
61200f1 |
61200.z |
61200f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.960601754$ |
$1$ |
|
$4$ |
$36864$ |
$0.656332$ |
$33750/17$ |
$1.03262$ |
$2.82689$ |
$[0, 0, 0, -675, -2430]$ |
\(y^2=x^3-675x-2430\) |
408.2.0.? |
$[(-9, 54)]$ |
| 61200.ba1 |
61200bz1 |
61200.ba |
61200bz |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.027712890$ |
$1$ |
|
$2$ |
$36864$ |
$0.725865$ |
$-256/255$ |
$0.82958$ |
$2.90489$ |
$[0, 0, 0, -75, -10375]$ |
\(y^2=x^3-75x-10375\) |
510.2.0.? |
$[(40, 225)]$ |
