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 |
29232.a1 |
29232b1 |
29232.a |
29232b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$0.398186621$ |
$1$ |
|
$16$ |
$12032$ |
$0.037086$ |
$-39366/203$ |
$0.76945$ |
$2.31398$ |
$[0, 0, 0, -27, 170]$ |
\(y^2=x^3-27x+170\) |
4872.2.0.? |
$[(1, 12), (7, 18)]$ |
29232.b1 |
29232bw2 |
29232.b |
29232bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{14} \cdot 3^{12} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$0.783897340$ |
$1$ |
|
$7$ |
$331776$ |
$2.077045$ |
$43040219271568849/841158108$ |
$0.98151$ |
$5.17458$ |
$[0, 0, 0, -1051347, 414915730]$ |
\(y^2=x^3-1051347x+414915730\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(503, 3654)]$ |
29232.b2 |
29232bw1 |
29232.b |
29232bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{16} \cdot 3^{9} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$0.391948670$ |
$1$ |
|
$13$ |
$165888$ |
$1.730473$ |
$-9486391169809/1473906672$ |
$0.93756$ |
$4.37888$ |
$[0, 0, 0, -63507, 6937810]$ |
\(y^2=x^3-63507x+6937810\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(-1, 2646)]$ |
29232.c1 |
29232bg2 |
29232.c |
29232bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.467546862$ |
$1$ |
|
$19$ |
$36864$ |
$1.066818$ |
$408023180713/1421$ |
$0.90984$ |
$4.04979$ |
$[0, 0, 0, -22251, 1277530]$ |
\(y^2=x^3-22251x+1277530\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[(93, 112), (87, 14)]$ |
29232.c2 |
29232bg1 |
29232.c |
29232bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.467546862$ |
$1$ |
|
$15$ |
$18432$ |
$0.720245$ |
$-95443993/5887$ |
$0.82232$ |
$3.24659$ |
$[0, 0, 0, -1371, 20554]$ |
\(y^2=x^3-1371x+20554\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(29, 72), (21, 32)]$ |
29232.d1 |
29232be1 |
29232.d |
29232be |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.938721$ |
$-95443993/175392$ |
$0.85613$ |
$3.37573$ |
$[0, 0, 0, -1371, -39926]$ |
\(y^2=x^3-1371x-39926\) |
4872.2.0.? |
$[]$ |
29232.e1 |
29232bf2 |
29232.e |
29232bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{20} \cdot 3^{6} \cdot 7^{10} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.582512$ |
$6684374974140996553/2097096248576$ |
$1.00277$ |
$5.66524$ |
$[0, 0, 0, -5651211, -5169429830]$ |
\(y^2=x^3-5651211x-5169429830\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[]$ |
29232.e2 |
29232bf1 |
29232.e |
29232bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{28} \cdot 3^{6} \cdot 7^{5} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$368640$ |
$2.235939$ |
$-1060490285861833/926330847232$ |
$0.97586$ |
$4.90391$ |
$[0, 0, 0, -305931, -103173446]$ |
\(y^2=x^3-305931x-103173446\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
29232.f1 |
29232t1 |
29232.f |
29232t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{14} \cdot 3^{3} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4872$ |
$12$ |
$0$ |
$1.402572949$ |
$1$ |
|
$5$ |
$10752$ |
$0.248055$ |
$5000211/812$ |
$0.76048$ |
$2.62944$ |
$[0, 0, 0, -171, 730]$ |
\(y^2=x^3-171x+730\) |
2.3.0.a.1, 24.6.0.c.1, 1218.6.0.?, 1624.6.0.?, 4872.12.0.? |
$[(-1, 30)]$ |
29232.f2 |
29232t2 |
29232.f |
29232t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{13} \cdot 3^{3} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4872$ |
$12$ |
$0$ |
$0.701286474$ |
$1$ |
|
$7$ |
$21504$ |
$0.594628$ |
$29503629/82418$ |
$0.84747$ |
$2.93258$ |
$[0, 0, 0, 309, 4090]$ |
\(y^2=x^3+309x+4090\) |
2.3.0.a.1, 24.6.0.b.1, 1624.6.0.?, 2436.6.0.?, 4872.12.0.? |
$[(-3, 56)]$ |
29232.g1 |
29232bq1 |
29232.g |
29232bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{13} \cdot 3^{7} \cdot 7^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$0.155191102$ |
$1$ |
|
$24$ |
$41472$ |
$0.990688$ |
$-8205738913/59682$ |
$0.87396$ |
$3.67110$ |
$[0, 0, 0, -6051, 182306]$ |
\(y^2=x^3-6051x+182306\) |
4872.2.0.? |
$[(55, 126), (41, 56)]$ |
29232.h1 |
29232o1 |
29232.h |
29232o |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{5} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$0.099105061$ |
$1$ |
|
$34$ |
$345600$ |
$2.017509$ |
$-491028574078226/99607139289$ |
$0.95892$ |
$4.70137$ |
$[0, 0, 0, -187851, 36418394]$ |
\(y^2=x^3-187851x+36418394\) |
4872.2.0.? |
$[(-95, 7308), (241, 2268)]$ |
29232.i1 |
29232bn2 |
29232.i |
29232bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.502041$ |
$7701397204048/1892605743$ |
$0.91981$ |
$4.06586$ |
$[0, 0, 0, -23511, -1052494]$ |
\(y^2=x^3-23511x-1052494\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[]$ |
29232.i2 |
29232bn1 |
29232.i |
29232bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.155466$ |
$4994190819328/276357501$ |
$0.96069$ |
$3.75411$ |
$[0, 0, 0, -8076, 265655]$ |
\(y^2=x^3-8076x+265655\) |
2.3.0.a.1, 28.6.0.b.1, 58.6.0.a.1, 812.12.0.? |
$[]$ |
29232.j1 |
29232n1 |
29232.j |
29232n |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5376$ |
$0.077134$ |
$2725888/1421$ |
$0.77935$ |
$2.35170$ |
$[0, 0, 0, -66, -65]$ |
\(y^2=x^3-66x-65\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[]$ |
29232.j2 |
29232n2 |
29232.j |
29232n |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.423707$ |
$9148592/5887$ |
$0.78340$ |
$2.73908$ |
$[0, 0, 0, 249, -506]$ |
\(y^2=x^3+249x-506\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
29232.k1 |
29232bp4 |
29232.k |
29232bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{19} \cdot 3^{16} \cdot 7^{12} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$92897280$ |
$4.783081$ |
$176678690562294721133446471910833/3033870191363023488$ |
$1.07640$ |
$8.67073$ |
$[0, 0, 0, -168338186931, -26584107324268174]$ |
\(y^2=x^3-168338186931x-26584107324268174\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.z.1, 168.24.0.?, $\ldots$ |
$[]$ |
29232.k2 |
29232bp3 |
29232.k |
29232bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{19} \cdot 3^{46} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$92897280$ |
$4.783081$ |
$55425212630542527476751037873/15479334185118626660294016$ |
$1.06871$ |
$7.88623$ |
$[0, 0, 0, -11438183091, -338685241241230]$ |
\(y^2=x^3-11438183091x-338685241241230\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[]$ |
29232.k3 |
29232bp2 |
29232.k |
29232bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{26} \cdot 3^{26} \cdot 7^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$46448640$ |
$4.436508$ |
$43138515777213631193352207793/5652352909513890349056$ |
$1.06260$ |
$7.86186$ |
$[0, 0, 0, -10521467571, -415349243463310]$ |
\(y^2=x^3-10521467571x-415349243463310\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
29232.k4 |
29232bp1 |
29232.k |
29232bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{40} \cdot 3^{16} \cdot 7^{3} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$23224320$ |
$4.089935$ |
$-8025141932308829504241073/3845373573888057802752$ |
$1.04990$ |
$7.08520$ |
$[0, 0, 0, -600627891, -7660273485454]$ |
\(y^2=x^3-600627891x-7660273485454\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
29232.l1 |
29232bo4 |
29232.l |
29232bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{3} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.477161$ |
$2818140246756887473/314406208368$ |
$0.99943$ |
$5.58124$ |
$[0, 0, 0, -4237491, 3357139826]$ |
\(y^2=x^3-4237491x+3357139826\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0.h.1, 84.24.0.?, $\ldots$ |
$[]$ |
29232.l2 |
29232bo2 |
29232.l |
29232bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$442368$ |
$2.130589$ |
$867622835347633/227964231936$ |
$1.04545$ |
$4.79492$ |
$[0, 0, 0, -286131, 43529330]$ |
\(y^2=x^3-286131x+43529330\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.a.1, 84.24.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
29232.l3 |
29232bo1 |
29232.l |
29232bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{28} \cdot 3^{7} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.784016$ |
$39085920587953/1955659776$ |
$0.94437$ |
$4.49345$ |
$[0, 0, 0, -101811, -11950990]$ |
\(y^2=x^3-101811x-11950990\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.ba.1, 84.12.0.?, $\ldots$ |
$[]$ |
29232.l4 |
29232bo3 |
29232.l |
29232bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{16} \cdot 3^{7} \cdot 7^{12} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.477161$ |
$13601087408654927/19267071783792$ |
$1.06618$ |
$5.09855$ |
$[0, 0, 0, 716109, 280659314]$ |
\(y^2=x^3+716109x+280659314\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.ba.1, 116.12.0.?, $\ldots$ |
$[]$ |
29232.m1 |
29232z1 |
29232.m |
29232z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.579780666$ |
$1$ |
|
$4$ |
$15360$ |
$0.526263$ |
$-1/1421$ |
$1.01742$ |
$2.88080$ |
$[0, 0, 0, -3, -3134]$ |
\(y^2=x^3-3x-3134\) |
116.2.0.? |
$[(15, 14)]$ |
29232.n1 |
29232s1 |
29232.n |
29232s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$0.692154393$ |
$1$ |
|
$4$ |
$20736$ |
$0.942577$ |
$-78128296875/1365784$ |
$0.96672$ |
$3.57142$ |
$[0, 0, 0, -4275, -109198]$ |
\(y^2=x^3-4275x-109198\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 4872.16.0.? |
$[(89, 464)]$ |
29232.n2 |
29232s2 |
29232.n |
29232s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{21} \cdot 3^{9} \cdot 7^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$2.076463181$ |
$1$ |
|
$2$ |
$62208$ |
$1.491884$ |
$6280426125/5092864$ |
$0.90735$ |
$3.96440$ |
$[0, 0, 0, 16605, -521694]$ |
\(y^2=x^3+16605x-521694\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 4872.16.0.? |
$[(49, 640)]$ |
29232.o1 |
29232y2 |
29232.o |
29232y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{8} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1.142994589$ |
$1$ |
|
$7$ |
$32768$ |
$0.964719$ |
$4956477625/52983$ |
$0.86867$ |
$3.62086$ |
$[0, 0, 0, -5115, 139498]$ |
\(y^2=x^3-5115x+139498\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(47, 54)]$ |
29232.o2 |
29232y1 |
29232.o |
29232y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$0.571497294$ |
$1$ |
|
$9$ |
$16384$ |
$0.618145$ |
$-15625/4263$ |
$0.95144$ |
$2.98784$ |
$[0, 0, 0, -75, 5434]$ |
\(y^2=x^3-75x+5434\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(5, 72)]$ |
29232.p1 |
29232bc4 |
29232.p |
29232bc |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{3} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$2.413231$ |
$21500025903924625/7344878367708$ |
$1.05637$ |
$5.10709$ |
$[0, 0, 0, -834195, -187702702]$ |
\(y^2=x^3-834195x-187702702\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 28.6.0.a.1, $\ldots$ |
$[]$ |
29232.p2 |
29232bc2 |
29232.p |
29232bc |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{18} \cdot 3^{12} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.863922$ |
$1477843225692625/274663872$ |
$0.96456$ |
$4.84671$ |
$[0, 0, 0, -341715, 76873106]$ |
\(y^2=x^3-341715x+76873106\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 28.6.0.a.1, $\ldots$ |
$[]$ |
29232.p3 |
29232bc1 |
29232.p |
29232bc |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{24} \cdot 3^{9} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.517349$ |
$-260305116625/157151232$ |
$0.91940$ |
$4.07556$ |
$[0, 0, 0, -19155, 1458578]$ |
\(y^2=x^3-19155x+1458578\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 28.6.0.b.1, $\ldots$ |
$[]$ |
29232.p4 |
29232bc3 |
29232.p |
29232bc |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{16} \cdot 3^{7} \cdot 7^{6} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$2.066654$ |
$134335727363375/137728390128$ |
$1.04470$ |
$4.61351$ |
$[0, 0, 0, 153645, -20362606]$ |
\(y^2=x^3+153645x-20362606\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 28.6.0.b.1, $\ldots$ |
$[]$ |
29232.q1 |
29232f2 |
29232.q |
29232f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$2.394419536$ |
$1$ |
|
$3$ |
$147456$ |
$1.801783$ |
$2471097448795250/98942809$ |
$0.96359$ |
$4.82929$ |
$[0, 0, 0, -321915, 70298314]$ |
\(y^2=x^3-321915x+70298314\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(330, 58)]$ |
29232.q2 |
29232f1 |
29232.q |
29232f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{3} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1.197209768$ |
$1$ |
|
$7$ |
$73728$ |
$1.455210$ |
$-1041220466500/242597383$ |
$0.91244$ |
$4.03898$ |
$[0, 0, 0, -19155, 1208482]$ |
\(y^2=x^3-19155x+1208482\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(69, 464)]$ |
29232.r1 |
29232q2 |
29232.r |
29232q |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{15} \cdot 3^{9} \cdot 7 \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62208$ |
$1.491884$ |
$-78128296875/1365784$ |
$0.96672$ |
$4.21245$ |
$[0, 0, 0, -38475, 2948346]$ |
\(y^2=x^3-38475x+2948346\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 4872.16.0.? |
$[]$ |
29232.r2 |
29232q1 |
29232.r |
29232q |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.942577$ |
$6280426125/5092864$ |
$0.90735$ |
$3.32337$ |
$[0, 0, 0, 1845, 19322]$ |
\(y^2=x^3+1845x+19322\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 4872.16.0.? |
$[]$ |
29232.s1 |
29232l1 |
29232.s |
29232l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.139374$ |
$128000/203$ |
$0.67301$ |
$2.37779$ |
$[0, 0, 0, 60, 236]$ |
\(y^2=x^3+60x+236\) |
406.2.0.? |
$[]$ |
29232.t1 |
29232bk2 |
29232.t |
29232bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{17} \cdot 3^{18} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.123940$ |
$12562403073144625/24165685152$ |
$0.97565$ |
$5.05483$ |
$[0, 0, 0, -697395, -223791374]$ |
\(y^2=x^3-697395x-223791374\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
29232.t2 |
29232bk1 |
29232.t |
29232bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{22} \cdot 3^{12} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.777365$ |
$-925434168625/4394621952$ |
$0.95500$ |
$4.34530$ |
$[0, 0, 0, -29235, -5837582]$ |
\(y^2=x^3-29235x-5837582\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
29232.u1 |
29232bu2 |
29232.u |
29232bu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.457396243$ |
$1$ |
|
$9$ |
$184320$ |
$1.955540$ |
$13350003080765625/109178272$ |
$1.22373$ |
$5.06074$ |
$[0, 0, 0, -711675, 231082794]$ |
\(y^2=x^3-711675x+231082794\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(493, 224)]$ |
29232.u2 |
29232bu1 |
29232.u |
29232bu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{22} \cdot 3^{6} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.914792487$ |
$1$ |
|
$7$ |
$92160$ |
$1.608965$ |
$-3051779837625/295386112$ |
$1.14571$ |
$4.26050$ |
$[0, 0, 0, -43515, 3774762]$ |
\(y^2=x^3-43515x+3774762\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(13, 1792)]$ |
29232.v1 |
29232v2 |
29232.v |
29232v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{13} \cdot 3^{3} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4872$ |
$12$ |
$0$ |
$4.439247031$ |
$1$ |
|
$3$ |
$15360$ |
$0.733726$ |
$44928178875/11774$ |
$0.89589$ |
$3.51472$ |
$[0, 0, 0, -3555, -81566]$ |
\(y^2=x^3-3555x-81566\) |
2.3.0.a.1, 168.6.0.?, 348.6.0.?, 1624.6.0.?, 4872.12.0.? |
$[(135, 1378)]$ |
29232.v2 |
29232v1 |
29232.v |
29232v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4872$ |
$12$ |
$0$ |
$2.219623515$ |
$1$ |
|
$5$ |
$7680$ |
$0.387152$ |
$-7414875/5684$ |
$0.79261$ |
$2.74979$ |
$[0, 0, 0, -195, -1598]$ |
\(y^2=x^3-195x-1598\) |
2.3.0.a.1, 168.6.0.?, 174.6.0.?, 1624.6.0.?, 4872.12.0.? |
$[(23, 78)]$ |
29232.w1 |
29232c1 |
29232.w |
29232c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{11} \cdot 3^{9} \cdot 7^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$317184$ |
$2.236530$ |
$-75754399836615750/23882747$ |
$0.99448$ |
$5.48267$ |
$[0, 0, 0, -3022515, -2022557742]$ |
\(y^2=x^3-3022515x-2022557742\) |
4872.2.0.? |
$[]$ |
29232.x1 |
29232w1 |
29232.x |
29232w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{35} \cdot 3^{3} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$264960$ |
$2.175804$ |
$-3580418379458257875/83441483776$ |
$1.04405$ |
$5.28402$ |
$[0, 0, 0, -1529835, -728322534]$ |
\(y^2=x^3-1529835x-728322534\) |
4872.2.0.? |
$[]$ |
29232.y1 |
29232bi2 |
29232.y |
29232bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{16} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.803011$ |
$10112728515625/5561943408$ |
$1.09534$ |
$4.36197$ |
$[0, 0, 0, -64875, 1416602]$ |
\(y^2=x^3-64875x+1416602\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
29232.y2 |
29232bi1 |
29232.y |
29232bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{20} \cdot 3^{11} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.456436$ |
$145116956375/88397568$ |
$1.05175$ |
$3.94925$ |
$[0, 0, 0, 15765, 174746]$ |
\(y^2=x^3+15765x+174746\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
29232.z1 |
29232u1 |
29232.z |
29232u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{35} \cdot 3^{9} \cdot 7^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1.129444144$ |
$1$ |
|
$4$ |
$794880$ |
$2.725109$ |
$-3580418379458257875/83441483776$ |
$1.04405$ |
$5.92504$ |
$[0, 0, 0, -13768515, 19664708418]$ |
\(y^2=x^3-13768515x+19664708418\) |
4872.2.0.? |
$[(481, 114688)]$ |
29232.ba1 |
29232bt1 |
29232.ba |
29232bt |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.828376715$ |
$1$ |
|
$2$ |
$8064$ |
$0.489165$ |
$-27648000/9947$ |
$0.83664$ |
$2.89364$ |
$[0, 0, 0, -360, -3348]$ |
\(y^2=x^3-360x-3348\) |
406.2.0.? |
$[(34, 154)]$ |