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 |
349830.a1 |
349830a2 |
349830.a |
349830a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{20} \cdot 5^{2} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12644352$ |
$2.510834$ |
$47316161414809/22001657400$ |
$0.98513$ |
$4.18867$ |
$[1, -1, 0, -1146105, 209629525]$ |
\(y^2+xy=x^3-x^2-1146105x+209629525\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
349830.a2 |
349830a1 |
349830.a |
349830a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{13} \cdot 5 \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6322176$ |
$2.164261$ |
$510273943271/370215360$ |
$0.96003$ |
$3.83383$ |
$[1, -1, 0, 253215, 24639421]$ |
\(y^2+xy=x^3-x^2+253215x+24639421\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
349830.b1 |
349830b4 |
349830.b |
349830b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 13^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$3.274467523$ |
$4$ |
$2$ |
$6$ |
$159645696$ |
$3.586838$ |
$67058849150792292084409/4532630700$ |
$0.99354$ |
$5.83941$ |
$[1, -1, 0, -1287379755, -17778710765399]$ |
\(y^2+xy=x^3-x^2-1287379755x-17778710765399\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[(-20715, 10369)]$ |
349830.b2 |
349830b3 |
349830.b |
349830b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 13^{7} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$0.818616880$ |
$1$ |
|
$8$ |
$159645696$ |
$3.586838$ |
$23182500134142276409/8246146750089300$ |
$0.97394$ |
$5.21506$ |
$[1, -1, 0, -90352755, -205179889199]$ |
\(y^2+xy=x^3-x^2-90352755x-205179889199\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$ |
$[(12503, 780866)]$ |
349830.b3 |
349830b2 |
349830.b |
349830b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$1.637233761$ |
$4$ |
$2$ |
$14$ |
$79822848$ |
$3.240265$ |
$16374854154935580409/4256381610000$ |
$0.96242$ |
$5.18783$ |
$[1, -1, 0, -80466255, -277740867299]$ |
\(y^2+xy=x^3-x^2-80466255x-277740867299\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[(-5190, 10369)]$ |
349830.b4 |
349830b1 |
349830.b |
349830b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 13^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$3.274467523$ |
$1$ |
|
$5$ |
$39911424$ |
$2.893692$ |
$-2707064176380409/2063100000000$ |
$0.92950$ |
$4.57151$ |
$[1, -1, 0, -4416255, -5436237299]$ |
\(y^2+xy=x^3-x^2-4416255x-5436237299\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$ |
$[(5262, 339425)]$ |
349830.c1 |
349830c2 |
349830.c |
349830c |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 13^{8} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$251160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$75339264$ |
$3.307125$ |
$-68166000163521/2179088286080$ |
$1.04069$ |
$4.93481$ |
$[1, -1, 0, -7156590, 55264038740]$ |
\(y^2+xy=x^3-x^2-7156590x+55264038740\) |
7.8.0.a.1, 21.16.0-7.a.1.1, 91.24.0.?, 273.48.0.?, 920.2.0.?, $\ldots$ |
$[]$ |
349830.c2 |
349830c1 |
349830.c |
349830c |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$251160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$10762752$ |
$2.334171$ |
$-341608037121/3593750$ |
$1.02569$ |
$4.20567$ |
$[1, -1, 0, -1224690, -526073950]$ |
\(y^2+xy=x^3-x^2-1224690x-526073950\) |
7.8.0.a.1, 21.16.0-7.a.1.2, 91.24.0.?, 273.48.0.?, 920.2.0.?, $\ldots$ |
$[]$ |
349830.d1 |
349830d1 |
349830.d |
349830d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 13^{8} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$4.390603646$ |
$1$ |
|
$2$ |
$39536640$ |
$3.126793$ |
$-2877787492361041/71639296000$ |
$0.93955$ |
$4.91564$ |
$[1, -1, 0, -24919335, 48905052925]$ |
\(y^2+xy=x^3-x^2-24919335x+48905052925\) |
40.2.0.a.1 |
$[(3101, 36434)]$ |
349830.e1 |
349830e1 |
349830.e |
349830e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{12} \cdot 5^{3} \cdot 13^{4} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$920$ |
$2$ |
$0$ |
$1.951569074$ |
$1$ |
|
$2$ |
$9815040$ |
$2.408817$ |
$1719980649806159/1173023511750$ |
$1.06163$ |
$4.06829$ |
$[1, -1, 0, 686700, -92707250]$ |
\(y^2+xy=x^3-x^2+686700x-92707250\) |
920.2.0.? |
$[(791, 30344)]$ |
349830.f1 |
349830f1 |
349830.f |
349830f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{6} \cdot 5^{13} \cdot 13^{4} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$6.463624214$ |
$1$ |
|
$0$ |
$27555840$ |
$2.934753$ |
$289056138613409999/683205566406250$ |
$1.00370$ |
$4.55795$ |
$[1, -1, 0, 3789540, 4985635266]$ |
\(y^2+xy=x^3-x^2+3789540x+4985635266\) |
40.2.0.a.1 |
$[(13863/2, 1941459/2)]$ |
349830.g1 |
349830g1 |
349830.g |
349830g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17940$ |
$2$ |
$0$ |
$2.817176065$ |
$1$ |
|
$2$ |
$24837120$ |
$2.776981$ |
$37831540293/23920000000$ |
$0.96577$ |
$4.43620$ |
$[1, -1, 0, 319125, 2292453125]$ |
\(y^2+xy=x^3-x^2+319125x+2292453125\) |
17940.2.0.? |
$[(-809, 39190)]$ |
349830.h1 |
349830h1 |
349830.h |
349830h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 13^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2760$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2725632$ |
$1.660099$ |
$-4563/920$ |
$1.20705$ |
$3.38634$ |
$[1, -1, 0, -5355, 2820845]$ |
\(y^2+xy=x^3-x^2-5355x+2820845\) |
2760.2.0.? |
$[]$ |
349830.i1 |
349830i4 |
349830.i |
349830i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{9} \cdot 3^{10} \cdot 5^{24} \cdot 13^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7176$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8472231936$ |
$5.792572$ |
$5554585757634328021631979270889/2872902008056640625000000000$ |
$1.05701$ |
$7.26769$ |
$[1, -1, 0, -561183898950, -52745158943535564]$ |
\(y^2+xy=x^3-x^2-561183898950x-52745158943535564\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
349830.i2 |
349830i2 |
349830.i |
349830i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{18} \cdot 5^{8} \cdot 13^{7} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7176$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2824077312$ |
$5.243271$ |
$2828034254099032702891245115129/3196063848495740625000$ |
$1.07649$ |
$7.21481$ |
$[1, -1, 0, -448108173135, -115457344848402075]$ |
\(y^2+xy=x^3-x^2-448108173135x-115457344848402075\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
349830.i3 |
349830i1 |
349830.i |
349830i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{30} \cdot 5^{4} \cdot 13^{8} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7176$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1412038656$ |
$4.896698$ |
$-673865164959526180786057849/23229524351662850520000$ |
$1.06220$ |
$6.56584$ |
$[1, -1, 0, -27780857415, -1834548928434819]$ |
\(y^2+xy=x^3-x^2-27780857415x-1834548928434819\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
349830.i4 |
349830i3 |
349830.i |
349830i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{18} \cdot 3^{14} \cdot 5^{12} \cdot 13^{12} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7176$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4236115968$ |
$5.445999$ |
$71856947906440606989120269591/46616317345728000000000000$ |
$1.04955$ |
$6.92710$ |
$[1, -1, 0, 131737949370, -6402407143524300]$ |
\(y^2+xy=x^3-x^2+131737949370x-6402407143524300\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
349830.j1 |
349830j4 |
349830.j |
349830j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{18} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17940$ |
$96$ |
$1$ |
$30.27082784$ |
$1$ |
|
$0$ |
$1045094400$ |
$4.811729$ |
$5378699555702101965641787/453548482696362123200$ |
$1.01933$ |
$6.44108$ |
$[1, -1, 0, -16655908515, 764725479661781]$ |
\(y^2+xy=x^3-x^2-16655908515x+764725479661781\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 60.24.0.t.1, $\ldots$ |
$[(519774895868830/75123, 1446537540740460670783/75123)]$ |
349830.j2 |
349830j2 |
349830.j |
349830j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 13^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17940$ |
$96$ |
$1$ |
$10.09027594$ |
$1$ |
|
$0$ |
$348364800$ |
$4.262428$ |
$3677099129012869569042846723/2690674688000000$ |
$1.03485$ |
$6.43605$ |
$[1, -1, 0, -16303036515, 801222385176981]$ |
\(y^2+xy=x^3-x^2-16303036515x+801222385176981\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 60.24.0.t.1, $\ldots$ |
$[(25004230/17, 30208675437/17)]$ |
349830.j3 |
349830j1 |
349830.j |
349830j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17940$ |
$96$ |
$1$ |
$20.18055189$ |
$1$ |
|
$1$ |
$174182400$ |
$3.915852$ |
$-897176485088045307663363/767948742459392000$ |
$1.01251$ |
$5.78452$ |
$[1, -1, 0, -1018730595, 12524687954325]$ |
\(y^2+xy=x^3-x^2-1018730595x+12524687954325\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(6695880051/659, 196632030352941/659)]$ |
349830.j4 |
349830j3 |
349830.j |
349830j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13^{12} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17940$ |
$96$ |
$1$ |
$60.54165568$ |
$1$ |
|
$1$ |
$522547200$ |
$4.465157$ |
$1591383301847324275653/14633798888411156480$ |
$1.02114$ |
$6.01610$ |
$[1, -1, 0, 1109858205, 54915589284245]$ |
\(y^2+xy=x^3-x^2+1109858205x+54915589284245\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(-8958782953288904078324689802/585861965469, 577215337377494658285311047231669747184881/585861965469)]$ |
349830.k1 |
349830k2 |
349830.k |
349830k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$2.649444984$ |
$1$ |
|
$2$ |
$17547264$ |
$2.696323$ |
$813812572383147/262761200$ |
$0.94716$ |
$4.66972$ |
$[1, -1, 0, -8875320, 10176482096]$ |
\(y^2+xy=x^3-x^2-8875320x+10176482096\) |
2.3.0.a.1, 60.6.0.c.1, 138.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(-2252, 138016)]$ |
349830.k2 |
349830k1 |
349830.k |
349830k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$5.298889969$ |
$1$ |
|
$3$ |
$8773632$ |
$2.349751$ |
$-128252814507/114433280$ |
$1.04451$ |
$4.05692$ |
$[1, -1, 0, -479400, 203808320]$ |
\(y^2+xy=x^3-x^2-479400x+203808320\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(4741, 320860)]$ |
349830.l1 |
349830l1 |
349830.l |
349830l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 13^{3} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17940$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20966400$ |
$2.784927$ |
$-1462131510328404999/8045428750000$ |
$1.02132$ |
$4.65470$ |
$[1, -1, 0, -8299680, -9244802800]$ |
\(y^2+xy=x^3-x^2-8299680x-9244802800\) |
17940.2.0.? |
$[]$ |
349830.m1 |
349830m1 |
349830.m |
349830m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5980$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2166528$ |
$1.673689$ |
$804357/460$ |
$0.82181$ |
$3.39000$ |
$[1, -1, 0, -38310, 322856]$ |
\(y^2+xy=x^3-x^2-38310x+322856\) |
5980.2.0.? |
$[]$ |
349830.n1 |
349830n1 |
349830.n |
349830n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{13} \cdot 5 \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2760$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6988800$ |
$2.263237$ |
$-28561/8048160$ |
$1.12398$ |
$3.95348$ |
$[1, -1, 0, -5355, -105253979]$ |
\(y^2+xy=x^3-x^2-5355x-105253979\) |
2760.2.0.? |
$[]$ |
349830.o1 |
349830o4 |
349830.o |
349830o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{11} \cdot 5^{4} \cdot 13^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$35880$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$29491200$ |
$2.920921$ |
$133345896593725369/340006815000$ |
$1.00095$ |
$4.81098$ |
$[1, -1, 0, -16188795, -25011558675]$ |
\(y^2+xy=x^3-x^2-16188795x-25011558675\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$ |
$[]$ |
349830.o2 |
349830o2 |
349830.o |
349830o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{16} \cdot 5^{2} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$35880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$14745600$ |
$2.574348$ |
$87109155423289/49979073600$ |
$1.03862$ |
$4.23648$ |
$[1, -1, 0, -1404675, -58920939]$ |
\(y^2+xy=x^3-x^2-1404675x-58920939\) |
2.6.0.a.1, 24.12.0.b.1, 52.12.0-2.a.1.1, 312.24.0.?, 920.12.0.?, $\ldots$ |
$[]$ |
349830.o3 |
349830o1 |
349830.o |
349830o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{11} \cdot 5 \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$35880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7372800$ |
$2.227776$ |
$24310870577209/114462720$ |
$0.95668$ |
$4.13650$ |
$[1, -1, 0, -917955, 337366485]$ |
\(y^2+xy=x^3-x^2-917955x+337366485\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[]$ |
349830.o4 |
349830o3 |
349830.o |
349830o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{26} \cdot 5 \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$35880$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$29491200$ |
$2.920921$ |
$5495662324535111/3207841648920$ |
$1.05494$ |
$4.56116$ |
$[1, -1, 0, 5591925, -474518979]$ |
\(y^2+xy=x^3-x^2+5591925x-474518979\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
349830.p1 |
349830p2 |
349830.p |
349830p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{3} \cdot 13^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17940$ |
$16$ |
$0$ |
$3.753576746$ |
$1$ |
|
$0$ |
$81285120$ |
$3.321613$ |
$1032043291880050009/331708628992000$ |
$0.95878$ |
$4.97128$ |
$[1, -1, 0, -32022405, -46498725675]$ |
\(y^2+xy=x^3-x^2-32022405x-46498725675\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 1380.8.0.?, 5980.2.0.?, 17940.16.0.? |
$[(-229766/7, 8764757/7)]$ |
349830.p2 |
349830p1 |
349830.p |
349830p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17940$ |
$16$ |
$0$ |
$11.26073023$ |
$1$ |
|
$0$ |
$27095040$ |
$2.772308$ |
$763173572128899049/64679680$ |
$0.94843$ |
$4.94764$ |
$[1, -1, 0, -28957590, -59970723084]$ |
\(y^2+xy=x^3-x^2-28957590x-59970723084\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 1380.8.0.?, 5980.2.0.?, 17940.16.0.? |
$[(-110993588/189, 10660080250/189)]$ |
349830.q1 |
349830q1 |
349830.q |
349830q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5 \cdot 13^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17940$ |
$2$ |
$0$ |
$1.063701815$ |
$1$ |
|
$4$ |
$6451200$ |
$2.271275$ |
$15087533111/1488015360$ |
$0.91591$ |
$3.96006$ |
$[1, -1, 0, 78300, -109788080]$ |
\(y^2+xy=x^3-x^2+78300x-109788080\) |
17940.2.0.? |
$[(491, 6599)]$ |
349830.r1 |
349830r1 |
349830.r |
349830r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{9} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17940$ |
$2$ |
$0$ |
$1.473040561$ |
$1$ |
|
$4$ |
$90854400$ |
$3.518093$ |
$-1462131510328404999/8045428750000$ |
$1.02132$ |
$5.34392$ |
$[1, -1, 0, -155849550, 752460827236]$ |
\(y^2+xy=x^3-x^2-155849550x+752460827236\) |
17940.2.0.? |
$[(6887, 72353)]$ |
349830.s1 |
349830s2 |
349830.s |
349830s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 13^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$35880$ |
$16$ |
$0$ |
$0.672598173$ |
$1$ |
|
$4$ |
$746496$ |
$1.213881$ |
$-97435188409/109503000$ |
$0.88317$ |
$2.98492$ |
$[1, -1, 0, -4770, 218700]$ |
\(y^2+xy=x^3-x^2-4770x+218700\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 920.2.0.?, 2760.8.0.?, 35880.16.0.? |
$[(33, 294)]$ |
349830.s2 |
349830s1 |
349830.s |
349830s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{12} \cdot 5 \cdot 13^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$35880$ |
$16$ |
$0$ |
$2.017794519$ |
$1$ |
|
$2$ |
$248832$ |
$0.664575$ |
$108750551/167670$ |
$0.81451$ |
$2.40776$ |
$[1, -1, 0, 495, -5589]$ |
\(y^2+xy=x^3-x^2+495x-5589\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 920.2.0.?, 2760.8.0.?, 35880.16.0.? |
$[(105, 1041)]$ |
349830.t1 |
349830t1 |
349830.t |
349830t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5 \cdot 13^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$920$ |
$2$ |
$0$ |
$6.358346115$ |
$1$ |
|
$2$ |
$9584640$ |
$2.458889$ |
$-63342106009/8280$ |
$0.88455$ |
$4.47413$ |
$[1, -1, 0, -3861090, 2921497996]$ |
\(y^2+xy=x^3-x^2-3861090x+2921497996\) |
920.2.0.? |
$[(-1735, 67166)]$ |
349830.u1 |
349830u1 |
349830.u |
349830u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5 \cdot 13^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2760$ |
$2$ |
$0$ |
$3.269630045$ |
$1$ |
|
$2$ |
$628992$ |
$0.926931$ |
$-4563/920$ |
$1.20705$ |
$2.69712$ |
$[1, -1, 0, -285, -34579]$ |
\(y^2+xy=x^3-x^2-285x-34579\) |
2760.2.0.? |
$[(115, 1144)]$ |
349830.v1 |
349830v2 |
349830.v |
349830v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.079195347$ |
$1$ |
|
$6$ |
$22708224$ |
$2.866821$ |
$871613323820667/18917251600$ |
$0.91743$ |
$4.67510$ |
$[1, -1, 0, -9080655, 10335196925]$ |
\(y^2+xy=x^3-x^2-9080655x+10335196925\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(2090, 20925)]$ |
349830.v2 |
349830v1 |
349830.v |
349830v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.158390695$ |
$1$ |
|
$5$ |
$11354112$ |
$2.520248$ |
$108531333/1100320000$ |
$0.97719$ |
$4.19506$ |
$[1, -1, 0, 45345, 491893325]$ |
\(y^2+xy=x^3-x^2+45345x+491893325\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-370, 20785)]$ |
349830.w1 |
349830w1 |
349830.w |
349830w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2 \cdot 3^{8} \cdot 5^{5} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$920$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9784320$ |
$2.475315$ |
$15365194032721/1293750$ |
$0.90503$ |
$4.50243$ |
$[1, -1, 0, -4355415, -3497241825]$ |
\(y^2+xy=x^3-x^2-4355415x-3497241825\) |
920.2.0.? |
$[]$ |
349830.x1 |
349830x1 |
349830.x |
349830x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{7} \cdot 3^{8} \cdot 5 \cdot 13^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$920$ |
$2$ |
$0$ |
$2.335584157$ |
$1$ |
|
$2$ |
$236544$ |
$0.653445$ |
$276301129/132480$ |
$0.82491$ |
$2.44090$ |
$[1, -1, 0, -675, 2965]$ |
\(y^2+xy=x^3-x^2-675x+2965\) |
920.2.0.? |
$[(-7, 89)]$ |
349830.y1 |
349830y1 |
349830.y |
349830y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{6} \cdot 5 \cdot 13^{8} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$920$ |
$2$ |
$0$ |
$2.920607826$ |
$1$ |
|
$2$ |
$13977600$ |
$2.684063$ |
$2298944458161/1029814880$ |
$0.93811$ |
$4.35361$ |
$[1, -1, 0, -2312205, 643835141]$ |
\(y^2+xy=x^3-x^2-2312205x+643835141\) |
920.2.0.? |
$[(-1619, 12712)]$ |
349830.z1 |
349830z2 |
349830.z |
349830z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{7} \cdot 3^{6} \cdot 5 \cdot 13^{8} \cdot 23^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2760$ |
$16$ |
$0$ |
$20.59719832$ |
$1$ |
|
$2$ |
$56609280$ |
$3.445728$ |
$65113766972032185121/7786880$ |
$0.98610$ |
$5.69783$ |
$[1, -1, 0, -704813940, 7202287714896]$ |
\(y^2+xy=x^3-x^2-704813940x+7202287714896\) |
3.8.0-3.a.1.2, 920.2.0.?, 2760.16.0.? |
$[(287760530985/4333, -605189724515697/4333)]$ |
349830.z2 |
349830z1 |
349830.z |
349830z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 13^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2760$ |
$16$ |
$0$ |
$6.865732773$ |
$1$ |
|
$0$ |
$18869760$ |
$2.896423$ |
$126922848287521/6029312000$ |
$0.92085$ |
$4.66784$ |
$[1, -1, 0, -8804340, 9635925456]$ |
\(y^2+xy=x^3-x^2-8804340x+9635925456\) |
3.8.0-3.a.1.1, 920.2.0.?, 2760.16.0.? |
$[(63345/7, 6751317/7)]$ |
349830.ba1 |
349830ba1 |
349830.ba |
349830ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2 \cdot 3^{14} \cdot 5 \cdot 13^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$920$ |
$2$ |
$0$ |
$4.776820957$ |
$1$ |
|
$0$ |
$970752$ |
$1.318184$ |
$11562630001/1509030$ |
$0.87197$ |
$3.13528$ |
$[1, -1, 0, -12960, 503010]$ |
\(y^2+xy=x^3-x^2-12960x+503010\) |
920.2.0.? |
$[(147/2, 2049/2)]$ |
349830.bb1 |
349830bb2 |
349830.bb |
349830bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{8} \cdot 13^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$5.671810333$ |
$1$ |
|
$2$ |
$16515072$ |
$2.650696$ |
$591202341974089/79350000000$ |
$1.11357$ |
$4.38650$ |
$[1, -1, 0, -2659500, 1463680336]$ |
\(y^2+xy=x^3-x^2-2659500x+1463680336\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(375, 22594)]$ |
349830.bb2 |
349830bb1 |
349830.bb |
349830bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$2.835905166$ |
$1$ |
|
$3$ |
$8257536$ |
$2.304123$ |
$557644990391/2119680000$ |
$0.96642$ |
$3.97530$ |
$[1, -1, 0, 260820, 120917200]$ |
\(y^2+xy=x^3-x^2+260820x+120917200\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(5405, 396560)]$ |
349830.bc1 |
349830bc1 |
349830.bc |
349830bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17940$ |
$2$ |
$0$ |
$18.23214548$ |
$1$ |
|
$0$ |
$24192000$ |
$2.823097$ |
$-42302321087052649923/2335937500$ |
$1.00187$ |
$5.00399$ |
$[1, -1, 0, -36803415, -85927824319]$ |
\(y^2+xy=x^3-x^2-36803415x-85927824319\) |
17940.2.0.? |
$[(2123428420/383, 86892372839687/383)]$ |
349830.bd1 |
349830bd1 |
349830.bd |
349830bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{9} \cdot 13^{13} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5980$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$758661120$ |
$4.641319$ |
$5161630300553298943819449/2955706144768000000000$ |
$1.07541$ |
$6.17966$ |
$[1, -1, 0, -5476254315, 15980745457925]$ |
\(y^2+xy=x^3-x^2-5476254315x+15980745457925\) |
5980.2.0.? |
$[]$ |