| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 416025.a1 |
416025a2 |
416025.a |
416025a |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1290$ |
$48$ |
$1$ |
$16.53452641$ |
$1$ |
|
$0$ |
$19504800$ |
$2.641525$ |
$-102400/3$ |
$1.04391$ |
$4.39303$ |
$1$ |
$[0, 0, 1, -3466875, -2546708594]$ |
\(y^2+y=x^3-3466875x-2546708594\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 430.24.0.?, 645.24.0.?, $\ldots$ |
$[(41610529/130, 136203989917/130)]$ |
$1$ |
| 416025.a2 |
416025a1 |
416025.a |
416025a |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{11} \cdot 5^{2} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1290$ |
$48$ |
$1$ |
$3.306905282$ |
$1$ |
|
$2$ |
$3900960$ |
$1.836807$ |
$20480/243$ |
$1.13104$ |
$3.49929$ |
$1$ |
$[0, 0, 1, 27735, 7851316]$ |
\(y^2+y=x^3+27735x+7851316\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 430.24.0.?, 645.24.0.?, $\ldots$ |
$[(31, 2956)]$ |
$1$ |
| 416025.b1 |
416025b1 |
416025.b |
416025b |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38836224$ |
$2.865231$ |
$-176128/27$ |
$0.84680$ |
$4.53313$ |
$1$ |
$[0, 0, 1, -5963025, -6303414344]$ |
\(y^2+y=x^3-5963025x-6303414344\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 416025.c1 |
416025c1 |
416025.c |
416025c |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{20} \cdot 5^{8} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$11.07583814$ |
$1$ |
|
$0$ |
$953745408$ |
$4.520897$ |
$-522547125460258816/9506987907075$ |
$1.00952$ |
$6.15558$ |
$1$ |
$[0, 0, 1, -6981038175, 228007846535656]$ |
\(y^2+y=x^3-6981038175x+228007846535656\) |
86.2.0.? |
$[(38208295/31, 108641793667/31)]$ |
$1$ |
| 416025.d1 |
416025d1 |
416025.d |
416025d |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{8} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14636160$ |
$2.500614$ |
$20480/43$ |
$0.67020$ |
$4.09073$ |
$1$ |
$[0, 0, 1, 693375, -360266094]$ |
\(y^2+y=x^3+693375x-360266094\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 416025.e1 |
416025e2 |
416025.e |
416025e |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{11} \cdot 5^{16} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1380403200$ |
$4.786736$ |
$206246988924787/2373046875$ |
$1.00677$ |
$6.41954$ |
$1$ |
$[1, -1, 1, -22019587880, 1245096384144122]$ |
\(y^2+xy+y=x^3-x^2-22019587880x+1245096384144122\) |
2.3.0.a.1, 60.6.0.d.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.e2 |
416025e1 |
416025.e |
416025e |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{16} \cdot 5^{11} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$690201600$ |
$4.440163$ |
$-444194947/184528125$ |
$1.05268$ |
$5.91943$ |
$1$ |
$[1, -1, 1, -284361755, 49485065460122]$ |
\(y^2+xy+y=x^3-x^2-284361755x+49485065460122\) |
2.3.0.a.1, 60.6.0.d.1, 430.6.0.?, 516.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.f1 |
416025f1 |
416025.f |
416025f |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{2} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$4.909099005$ |
$1$ |
|
$2$ |
$2128896$ |
$1.722626$ |
$-121945/43$ |
$0.73314$ |
$3.44436$ |
$1$ |
$[1, -1, 1, -50270, -5490808]$ |
\(y^2+xy+y=x^3-x^2-50270x-5490808\) |
86.2.0.? |
$[(270, 616)]$ |
$1$ |
| 416025.g1 |
416025g1 |
416025.g |
416025g |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{13} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$2.640010816$ |
$1$ |
|
$2$ |
$1693440$ |
$1.602428$ |
$19630919/78125$ |
$0.90056$ |
$3.27197$ |
$1$ |
$[1, -1, 1, 15520, 1800272]$ |
\(y^2+xy+y=x^3-x^2+15520x+1800272\) |
20.2.0.a.1 |
$[(1084, 35395)]$ |
$1$ |
| 416025.h1 |
416025h2 |
416025.h |
416025h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11354112$ |
$2.577724$ |
$2315685267/9245$ |
$1.00157$ |
$4.41184$ |
$1$ |
$[1, -1, 1, -3822230, 2867245022]$ |
\(y^2+xy+y=x^3-x^2-3822230x+2867245022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.h2 |
416025h1 |
416025.h |
416025h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{8} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5677056$ |
$2.231152$ |
$1860867/1075$ |
$0.91503$ |
$3.86105$ |
$1$ |
$[1, -1, 1, -355355, -3327478]$ |
\(y^2+xy+y=x^3-x^2-355355x-3327478\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.i1 |
416025i1 |
416025.i |
416025i |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4139520$ |
$1.962181$ |
$-19683/43$ |
$0.84680$ |
$3.63030$ |
$1$ |
$[1, -1, 1, -78005, -18304378]$ |
\(y^2+xy+y=x^3-x^2-78005x-18304378\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 416025.j1 |
416025j1 |
416025.j |
416025j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$3.626337756$ |
$1$ |
|
$0$ |
$20805120$ |
$2.992741$ |
$31347/5$ |
$0.67020$ |
$4.63629$ |
$1$ |
$[1, -1, 1, -10062605, 10459239022]$ |
\(y^2+xy+y=x^3-x^2-10062605x+10459239022\) |
60.2.0.a.1 |
$[(25426/3, 1787735/3)]$ |
$1$ |
| 416025.k1 |
416025k3 |
416025.k |
416025k |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{7} \cdot 5^{10} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$5160$ |
$48$ |
$0$ |
$3.350006494$ |
$1$ |
|
$0$ |
$62447616$ |
$3.421268$ |
$36097320816649/80625$ |
$0.94094$ |
$5.41274$ |
$2$ |
$[1, -1, 1, -286441880, 1866030400122]$ |
\(y^2+xy+y=x^3-x^2-286441880x+1866030400122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(85411/3, 1166170/3)]$ |
$1$ |
| 416025.k2 |
416025k4 |
416025.k |
416025k |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{7} \cdot 5^{7} \cdot 43^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$5160$ |
$48$ |
$0$ |
$3.350006494$ |
$1$ |
|
$0$ |
$62447616$ |
$3.421268$ |
$184122897769/51282015$ |
$1.05622$ |
$5.00478$ |
$2$ |
$[1, -1, 1, -49307630, -95968461378]$ |
\(y^2+xy+y=x^3-x^2-49307630x-95968461378\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(-9889/2, 841935/2)]$ |
$1$ |
| 416025.k3 |
416025k2 |
416025.k |
416025k |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$2580$ |
$48$ |
$0$ |
$6.700012989$ |
$1$ |
|
$4$ |
$31223808$ |
$3.074696$ |
$9116230969/416025$ |
$0.87424$ |
$4.77249$ |
$1$ |
$[1, -1, 1, -18105755, 28464616122]$ |
\(y^2+xy+y=x^3-x^2-18105755x+28464616122\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 60.24.0-60.a.1.5, 516.24.0.?, 860.24.0.?, $\ldots$ |
$[(26849, 4333575)]$ |
$1$ |
| 416025.k4 |
416025k1 |
416025.k |
416025k |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{10} \cdot 5^{7} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$5160$ |
$48$ |
$0$ |
$3.350006494$ |
$1$ |
|
$5$ |
$15611904$ |
$2.728123$ |
$357911/17415$ |
$0.85974$ |
$4.32997$ |
$2$ |
$[1, -1, 1, 615370, 1693407372]$ |
\(y^2+xy+y=x^3-x^2+615370x+1693407372\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(-886, 21705)]$ |
$1$ |
| 416025.l1 |
416025l3 |
416025.l |
416025l |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{18} \cdot 5^{6} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$5.352952153$ |
$1$ |
|
$0$ |
$56770560$ |
$3.451450$ |
$1616855892553/22851963$ |
$1.05806$ |
$5.17270$ |
$2$ |
$[1, -1, 1, -101726780, 390085841972]$ |
\(y^2+xy+y=x^3-x^2-101726780x+390085841972\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.3, 60.12.0-4.c.1.1, $\ldots$ |
$[(347871/2, 203504375/2)]$ |
$1$ |
| 416025.l2 |
416025l2 |
416025.l |
416025l |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{12} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$10.70590430$ |
$1$ |
|
$2$ |
$28385280$ |
$3.104877$ |
$2845178713/1347921$ |
$0.95310$ |
$4.68249$ |
$1$ |
$[1, -1, 1, -12281405, -7051623028]$ |
\(y^2+xy+y=x^3-x^2-12281405x-7051623028\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.2, 60.24.0-12.b.1.4, 172.12.0.?, $\ldots$ |
$[(2631171/22, 3108546295/22)]$ |
$1$ |
| 416025.l3 |
416025l1 |
416025.l |
416025l |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{6} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$5.352952153$ |
$1$ |
|
$3$ |
$14192640$ |
$2.758305$ |
$1630532233/1161$ |
$0.91317$ |
$4.63946$ |
$2$ |
$[1, -1, 1, -10201280, -12530672278]$ |
\(y^2+xy+y=x^3-x^2-10201280x-12530672278\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.3, 60.12.0-4.c.1.2, $\ldots$ |
$[(5379, 294310)]$ |
$1$ |
| 416025.l4 |
416025l4 |
416025.l |
416025l |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 43^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$21.41180861$ |
$1$ |
|
$0$ |
$56770560$ |
$3.451450$ |
$129784785047/92307627$ |
$0.98681$ |
$4.97775$ |
$2$ |
$[1, -1, 1, 43881970, -53554897528]$ |
\(y^2+xy+y=x^3-x^2+43881970x-53554897528\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(4151744851/1078, 481016890736535/1078)]$ |
$1$ |
| 416025.m1 |
416025m1 |
416025.m |
416025m |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.806315239$ |
$1$ |
|
$8$ |
$161280$ |
$0.562834$ |
$31347/5$ |
$0.67020$ |
$2.38264$ |
$1$ |
$[1, -1, 1, -605, 5022]$ |
\(y^2+xy+y=x^3-x^2-605x+5022\) |
60.2.0.a.1 |
$[(-1, 75), (24, 50)]$ |
$1$ |
| 416025.n1 |
416025n1 |
416025.n |
416025n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{21} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$4.610780331$ |
$1$ |
|
$2$ |
$5806080$ |
$2.216011$ |
$539033907481/71744535$ |
$0.95490$ |
$3.92501$ |
$1$ |
$[1, -1, 1, -468230, -108096978]$ |
\(y^2+xy+y=x^3-x^2-468230x-108096978\) |
60.2.0.a.1 |
$[(1124, 27450)]$ |
$1$ |
| 416025.o1 |
416025o1 |
416025.o |
416025o |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{8} \cdot 5^{4} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$15.55186429$ |
$1$ |
|
$0$ |
$13804032$ |
$2.773239$ |
$3125/9$ |
$0.96562$ |
$4.35196$ |
$1$ |
$[1, -1, 1, 1863445, 1951990022]$ |
\(y^2+xy+y=x^3-x^2+1863445x+1951990022\) |
86.2.0.? |
$[(-652046222/911, 1489126173860/911)]$ |
$1$ |
| 416025.p1 |
416025p1 |
416025.p |
416025p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{8} \cdot 5^{10} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1605120$ |
$1.697359$ |
$3125/9$ |
$0.96562$ |
$3.35412$ |
$1$ |
$[1, -1, 1, 25195, -3075928]$ |
\(y^2+xy+y=x^3-x^2+25195x-3075928\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 416025.q1 |
416025q1 |
416025.q |
416025q |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 43^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$2580$ |
$12$ |
$0$ |
$82.51709643$ |
$1$ |
|
$0$ |
$37926000$ |
$3.179363$ |
$1849$ |
$0.94611$ |
$4.74419$ |
$1$ |
$[1, -1, 1, -16025630, -6312762628]$ |
\(y^2+xy+y=x^3-x^2-16025630x-6312762628\) |
2.2.0.a.1, 86.6.0.?, 2580.12.0.? |
$[(-491683130860981838646855129601942430/11523295699547423, 75384178172617989359465912531530926541687617562596671/11523295699547423)]$ |
$1$ |
| 416025.r1 |
416025r1 |
416025.r |
416025r |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{11} \cdot 5^{11} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.363975741$ |
$1$ |
|
$4$ |
$3225600$ |
$1.843267$ |
$7037694889/759375$ |
$0.91796$ |
$3.58969$ |
$1$ |
$[1, -1, 1, -110255, -12682128]$ |
\(y^2+xy+y=x^3-x^2-110255x-12682128\) |
60.2.0.a.1 |
$[(-166, 1095)]$ |
$1$ |
| 416025.s1 |
416025s2 |
416025.s |
416025s |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{13} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$794787840$ |
$4.516548$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.64323$ |
$1$ |
$[1, -1, 1, -57781374230, 5346026250458022]$ |
\(y^2+xy+y=x^3-x^2-57781374230x+5346026250458022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.s2 |
416025s1 |
416025.s |
416025s |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{3} \cdot 5^{20} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$397393920$ |
$4.169975$ |
$1953326569433829507/262451171875$ |
$1.01058$ |
$6.00037$ |
$1$ |
$[1, -1, 1, -3611452355, 83526680145522]$ |
\(y^2+xy+y=x^3-x^2-3611452355x+83526680145522\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 416025.t1 |
416025t1 |
416025.t |
416025t |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{9} \cdot 5^{8} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$11.35770928$ |
$1$ |
|
$1$ |
$25546752$ |
$2.877277$ |
$1263214441/29025$ |
$0.85169$ |
$4.61973$ |
$1$ |
$[1, -1, 1, -9369230, 10819331772]$ |
\(y^2+xy+y=x^3-x^2-9369230x+10819331772\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(-285566/9, 4710745/9)]$ |
$1$ |
| 416025.t2 |
416025t2 |
416025.t |
416025t |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{12} \cdot 5^{7} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$5.678854640$ |
$1$ |
|
$0$ |
$51093504$ |
$3.223850$ |
$1685159/6739605$ |
$1.19354$ |
$4.79140$ |
$1$ |
$[1, -1, 1, 1031395, 33513495522]$ |
\(y^2+xy+y=x^3-x^2+1031395x+33513495522\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(118316/7, 76342335/7)]$ |
$1$ |
| 416025.u1 |
416025u1 |
416025.u |
416025u |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$16.72577484$ |
$1$ |
|
$0$ |
$3210480$ |
$1.907095$ |
$0$ |
|
$3.57022$ |
$1$ |
$[0, 0, 1, 0, -12422969]$ |
\(y^2+y=x^3-12422969\) |
|
$[(20430241/262, 67142035597/262)]$ |
$1$ |
| 416025.u2 |
416025u2 |
416025.u |
416025u |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$5.575258282$ |
$1$ |
|
$0$ |
$9631440$ |
$2.456402$ |
$0$ |
|
$4.07968$ |
$1$ |
$[0, 0, 1, 0, 335420156]$ |
\(y^2+y=x^3+335420156\) |
|
$[(9825/2, 984821/2)]$ |
$1$ |
| 416025.v1 |
416025v1 |
416025.v |
416025v |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{8} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11975040$ |
$2.533146$ |
$-163840/43$ |
$0.72931$ |
$4.20567$ |
$1$ |
$[0, 0, 1, -1386750, -757801094]$ |
\(y^2+y=x^3-1386750x-757801094\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 416025.w1 |
416025w1 |
416025.w |
416025w |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$337680$ |
$0.921600$ |
$0$ |
|
$2.65621$ |
$1$ |
$[0, 0, 1, 0, -33594]$ |
\(y^2+y=x^3-33594\) |
|
$[ ]$ |
$1$ |
| 416025.w2 |
416025w2 |
416025.w |
416025w |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$1013040$ |
$1.470907$ |
$0$ |
|
$3.16567$ |
$1$ |
$[0, 0, 1, 0, 907031]$ |
\(y^2+y=x^3+907031\) |
|
$[ ]$ |
$1$ |
| 416025.x1 |
416025x2 |
416025.x |
416025x |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{4} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$8712144$ |
$2.546787$ |
$0$ |
|
$4.16351$ |
$1$ |
$[0, 0, 1, 0, -576922669]$ |
\(y^2+y=x^3-576922669\) |
|
$[ ]$ |
$1$ |
| 416025.x2 |
416025x1 |
416025.x |
416025x |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{3} \cdot 5^{4} \cdot 43^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1$ |
$1$ |
|
$2$ |
$2904048$ |
$1.997482$ |
$0$ |
|
$3.65405$ |
$1$ |
$[0, 0, 1, 0, 21367506]$ |
\(y^2+y=x^3+21367506\) |
|
$[ ]$ |
$1$ |
| 416025.y1 |
416025y2 |
416025.y |
416025y |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{8} \cdot 5^{4} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$18095616$ |
$3.058308$ |
$-1971080396800/715563$ |
$1.03023$ |
$4.93928$ |
$1$ |
$[0, 0, 1, -37164900, -87233589644]$ |
\(y^2+y=x^3-37164900x-87233589644\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[ ]$ |
$1$ |
| 416025.y2 |
416025y1 |
416025.y |
416025y |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{12} \cdot 5^{4} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6031872$ |
$2.509003$ |
$819200/31347$ |
$0.97636$ |
$4.12637$ |
$1$ |
$[0, 0, 1, 277350, -453686819]$ |
\(y^2+y=x^3+277350x-453686819\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[ ]$ |
$1$ |
| 416025.z1 |
416025z1 |
416025.z |
416025z |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{10} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$11.19578902$ |
$1$ |
|
$0$ |
$11354112$ |
$2.790413$ |
$-56623104/26875$ |
$0.99851$ |
$4.42604$ |
$1$ |
$[0, 0, 1, -3328200, -3152949469]$ |
\(y^2+y=x^3-3328200x-3152949469\) |
86.2.0.? |
$[(35496285/101, 170540821112/101)]$ |
$1$ |
| 416025.ba1 |
416025ba1 |
416025.ba |
416025ba |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{10} \cdot 5^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.642932873$ |
$1$ |
|
$0$ |
$15138816$ |
$2.767513$ |
$-799178752/3483$ |
$0.95634$ |
$4.58493$ |
$1$ |
$[0, 0, 1, -8043150, 8812854031]$ |
\(y^2+y=x^3-8043150x+8812854031\) |
86.2.0.? |
$[(25585/2, 3744221/2)]$ |
$1$ |
| 416025.bb1 |
416025bb1 |
416025.bb |
416025bb |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{18} \cdot 5^{14} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$48.81541087$ |
$1$ |
|
$0$ |
$544997376$ |
$4.400383$ |
$660867352100864/8926548046875$ |
$1.07121$ |
$5.87753$ |
$1$ |
$[0, 0, 1, 754946700, 37737269564031]$ |
\(y^2+y=x^3+754946700x+37737269564031\) |
86.2.0.? |
$[(-499441459165648632858655/4392686257, 78402238897472650685340421633479091/4392686257)]$ |
$1$ |
| 416025.bc1 |
416025bc1 |
416025.bc |
416025bc |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$43$ |
43.2838.199.1 |
43Ns.2.1.7 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$19764864$ |
$2.892590$ |
$0$ |
|
$4.48423$ |
$1$ |
$[0, 0, 1, 0, -4594013844]$ |
\(y^2+y=x^3-4594013844\) |
|
$[ ]$ |
$1$ |
| 416025.bc2 |
416025bc2 |
416025.bc |
416025bc |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$43$ |
43.2838.199.1 |
43Ns.2.1.7 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$59294592$ |
$3.441895$ |
$0$ |
|
$4.99369$ |
$1$ |
$[0, 0, 1, 0, 124038373781]$ |
\(y^2+y=x^3+124038373781\) |
|
$[ ]$ |
$1$ |
| 416025.bd1 |
416025bd2 |
416025.bd |
416025bd |
$2$ |
$43$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-43})$ |
$-43$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$52310016$ |
$3.460056$ |
$-884736000$ |
$1.44331$ |
$5.46430$ |
$1$ |
$[0, 0, 1, -357781500, 2604805849406]$ |
\(y^2+y=x^3-357781500x+2604805849406\) |
|
$[ ]$ |
$1$ |
| 416025.bd2 |
416025bd1 |
416025.bd |
416025bd |
$2$ |
$43$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-43})$ |
$-43$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$1.579454$ |
$-884736000$ |
$1.44331$ |
$3.72011$ |
$1$ |
$[0, 0, 1, -193500, -32761969]$ |
\(y^2+y=x^3-193500x-32761969\) |
|
$[ ]$ |
$1$ |
| 416025.be1 |
416025be2 |
416025.be |
416025be |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 43^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$43$ |
43.2838.199.1 |
43Ns.2.1.7 |
|
|
|
$8.952109235$ |
$1$ |
|
$0$ |
$1378944$ |
$1.561295$ |
$0$ |
|
$3.24950$ |
$1$ |
$[0, 0, 1, 0, -1560094]$ |
\(y^2+y=x^3-1560094\) |
|
$[(131190/29, 36455693/29)]$ |
$1$ |
| 416025.be2 |
416025be1 |
416025.be |
416025be |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 43^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$43$ |
43.2838.199.1 |
43Ns.2.1.7 |
|
|
|
$2.984036411$ |
$1$ |
|
$2$ |
$459648$ |
$1.011988$ |
$0$ |
|
$2.74004$ |
$1$ |
$[0, 0, 1, 0, 57781]$ |
\(y^2+y=x^3+57781\) |
|
$[(145, 1762)]$ |
$1$ |
| 416025.bf1 |
416025bf2 |
416025.bf |
416025bf |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 3^{8} \cdot 5^{10} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1290$ |
$16$ |
$0$ |
$57.47539799$ |
$1$ |
|
$0$ |
$90478080$ |
$3.863026$ |
$-1971080396800/715563$ |
$1.03023$ |
$5.68563$ |
$1$ |
$[0, 0, 1, -929122500, -10904198705469]$ |
\(y^2+y=x^3-929122500x-10904198705469\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 645.8.0.?, $\ldots$ |
$[(14143605728451008675590777211/567540151735, 1049535741330232747662695592532126800731791/567540151735)]$ |
$1$ |
