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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
471510.a1 |
471510a3 |
471510.a |
471510a |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2 \cdot 3^{10} \cdot 5^{3} \cdot 13^{6} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$0.915416375$ |
$1$ |
|
$8$ |
$21233664$ |
$2.562363$ |
$383432500775449/18701300250$ |
$[1, -1, 0, -2302065, 1287063675]$ |
\(y^2+xy=x^3-x^2-2302065x+1287063675\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 312.12.0.?, 744.12.0.?, $\ldots$ |
$[(1323, 22914)]$ |
471510.a2 |
471510a2 |
471510.a |
471510a |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 13^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$48360$ |
$48$ |
$0$ |
$1.830832751$ |
$1$ |
|
$12$ |
$10616832$ |
$2.215790$ |
$2023804595449/540562500$ |
$[1, -1, 0, -400815, -71569575]$ |
\(y^2+xy=x^3-x^2-400815x-71569575\) |
2.6.0.a.1, 40.12.0.a.1, 312.12.0.?, 744.12.0.?, 780.12.0.?, $\ldots$ |
$[(-432, 4779)]$ |
471510.a3 |
471510a1 |
471510.a |
471510a |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$3.661665503$ |
$1$ |
|
$5$ |
$5308416$ |
$1.869217$ |
$1597099875769/186000$ |
$[1, -1, 0, -370395, -86663979]$ |
\(y^2+xy=x^3-x^2-370395x-86663979\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 744.12.0.?, $\ldots$ |
$[(-350, 89)]$ |
471510.a4 |
471510a4 |
471510.a |
471510a |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2 \cdot 3^{7} \cdot 5^{12} \cdot 13^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$3.661665503$ |
$1$ |
|
$4$ |
$21233664$ |
$2.562363$ |
$32740359775271/45410156250$ |
$[1, -1, 0, 1013715, -464526009]$ |
\(y^2+xy=x^3-x^2+1013715x-464526009\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 744.12.0.?, $\ldots$ |
$[(777, 27750)]$ |
471510.b1 |
471510b1 |
471510.b |
471510b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{2} \cdot 3^{12} \cdot 5^{19} \cdot 13^{10} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$310$ |
$2$ |
$0$ |
$31.91940587$ |
$1$ |
|
$0$ |
$1675395072$ |
$4.865143$ |
$4284106395540116951/1724166870117187500$ |
$[1, -1, 0, 1573134525, 632871536251761]$ |
\(y^2+xy=x^3-x^2+1573134525x+632871536251761\) |
310.2.0.? |
$[(281376627820764/22013, 4735393867344933829389/22013)]$ |
471510.c1 |
471510c1 |
471510.c |
471510c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{4} \cdot 13^{13} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4836$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$939294720$ |
$4.429070$ |
$7355650808184944781629532483/1274808911134720000$ |
$[1, -1, 0, -20541891135, -1133200390041459]$ |
\(y^2+xy=x^3-x^2-20541891135x-1133200390041459\) |
2.3.0.a.1, 12.6.0.c.1, 1612.6.0.?, 2418.6.0.?, 4836.12.0.? |
$[]$ |
471510.c2 |
471510c2 |
471510.c |
471510c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13^{20} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4836$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1878589440$ |
$4.775642$ |
$-7286156838954742038925404483/96865758890419628262400$ |
$[1, -1, 0, -20476995135, -1140716086655859]$ |
\(y^2+xy=x^3-x^2-20476995135x-1140716086655859\) |
2.3.0.a.1, 6.6.0.a.1, 1612.6.0.?, 4836.12.0.? |
$[]$ |
471510.d1 |
471510d3 |
471510.d |
471510d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1.530772416$ |
$1$ |
|
$6$ |
$66060288$ |
$3.243462$ |
$1383277217333832812809/27202500$ |
$[1, -1, 0, -353067480, 2553581378700]$ |
\(y^2+xy=x^3-x^2-353067480x+2553581378700\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 520.12.0.?, 1240.12.0.?, $\ldots$ |
$[(10830, -2040)]$ |
471510.d2 |
471510d2 |
471510.d |
471510d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 13^{8} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$24180$ |
$48$ |
$0$ |
$3.061544833$ |
$1$ |
|
$8$ |
$33030144$ |
$2.896885$ |
$337748263783145929/47358464400$ |
$[1, -1, 0, -22067460, 39901026816]$ |
\(y^2+xy=x^3-x^2-22067460x+39901026816\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 260.12.0.?, 620.12.0.?, 780.24.0.?, $\ldots$ |
$[(2676, 1092)]$ |
471510.d3 |
471510d4 |
471510.d |
471510d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{2} \cdot 3^{18} \cdot 5 \cdot 13^{7} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1.530772416$ |
$1$ |
|
$4$ |
$66060288$ |
$3.243462$ |
$-254850956966062729/127607200177860$ |
$[1, -1, 0, -20090160, 47340815796]$ |
\(y^2+xy=x^3-x^2-20090160x+47340815796\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 260.12.0.?, 780.24.0.?, $\ldots$ |
$[(2181, 116787)]$ |
471510.d4 |
471510d1 |
471510.d |
471510d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 13^{10} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$6.123089666$ |
$1$ |
|
$3$ |
$16515072$ |
$2.550312$ |
$106827039259849/30599112960$ |
$[1, -1, 0, -1503540, 504668880]$ |
\(y^2+xy=x^3-x^2-1503540x+504668880\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 520.12.0.?, 780.12.0.?, $\ldots$ |
$[(-968, 32924)]$ |
471510.e1 |
471510e2 |
471510.e |
471510e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \cdot 13^{8} \cdot 31^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48360$ |
$12$ |
$0$ |
$7.608150118$ |
$1$ |
|
$8$ |
$12042240$ |
$2.305172$ |
$74985951512809/233868960$ |
$[1, -1, 0, -1336230, -592586604]$ |
\(y^2+xy=x^3-x^2-1336230x-592586604\) |
2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.? |
$[(-653, 1425), (-639, 522)]$ |
471510.e2 |
471510e1 |
471510.e |
471510e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13^{7} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48360$ |
$12$ |
$0$ |
$1.902037529$ |
$1$ |
|
$19$ |
$6021120$ |
$1.958597$ |
$53540005609/30950400$ |
$[1, -1, 0, -119430, -491724]$ |
\(y^2+xy=x^3-x^2-119430x-491724\) |
2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.? |
$[(-68, 2738), (-159, 3882)]$ |
471510.f1 |
471510f4 |
471510.f |
471510f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 13^{8} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$306561024$ |
$3.881588$ |
$5401609226997647595049/86393158323264000$ |
$[1, -1, 0, -555984090, 4975856827956]$ |
\(y^2+xy=x^3-x^2-555984090x+4975856827956\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$ |
$[]$ |
471510.f2 |
471510f3 |
471510.f |
471510f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 13^{7} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$153280512$ |
$3.535015$ |
$10443846301537515049/4758933504000000$ |
$[1, -1, 0, -69264090, -102287620044]$ |
\(y^2+xy=x^3-x^2-69264090x-102287620044\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.c.1, $\ldots$ |
$[]$ |
471510.f3 |
471510f2 |
471510.f |
471510f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{3} \cdot 3^{12} \cdot 5 \cdot 13^{12} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$102187008$ |
$3.332283$ |
$6322686217296773689/135260510172840$ |
$[1, -1, 0, -58594275, -169400210355]$ |
\(y^2+xy=x^3-x^2-58594275x-169400210355\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$ |
$[]$ |
471510.f4 |
471510f1 |
471510.f |
471510f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$51093504$ |
$2.985706$ |
$6224721371657832889/2942222400$ |
$[1, -1, 0, -58290075, -171278523675]$ |
\(y^2+xy=x^3-x^2-58290075x-171278523675\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.c.1, $\ldots$ |
$[]$ |
471510.g1 |
471510g3 |
471510.g |
471510g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 13^{7} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$11.02034156$ |
$1$ |
|
$1$ |
$27869184$ |
$2.878834$ |
$58015885327629867/38728300$ |
$[1, -1, 0, -36800880, -85918892500]$ |
\(y^2+xy=x^3-x^2-36800880x-85918892500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 78.24.0.?, $\ldots$ |
$[(161710/3, 60452480/3)]$ |
471510.g2 |
471510g4 |
471510.g |
471510g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 13^{8} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$22.04068313$ |
$1$ |
|
$0$ |
$55738368$ |
$3.225407$ |
$-56943538625741067/1499881220890$ |
$[1, -1, 0, -36572730, -87036964390]$ |
\(y^2+xy=x^3-x^2-36572730x-87036964390\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 78.24.0.?, $\ldots$ |
$[(3124029307/417, 162368544847142/417)]$ |
471510.g3 |
471510g1 |
471510.g |
471510g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 13^{9} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$3.673447188$ |
$1$ |
|
$5$ |
$9289728$ |
$2.329529$ |
$141477771269043/68107000000$ |
$[1, -1, 0, -550380, -64306800]$ |
\(y^2+xy=x^3-x^2-550380x-64306800\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 78.24.0.?, $\ldots$ |
$[(-627, 6144)]$ |
471510.g4 |
471510g2 |
471510.g |
471510g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 13^{12} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48360$ |
$96$ |
$1$ |
$7.346894377$ |
$1$ |
|
$2$ |
$18579456$ |
$2.676102$ |
$6633333032010957/4638563449000$ |
$[1, -1, 0, 1984620, -491707800]$ |
\(y^2+xy=x^3-x^2+1984620x-491707800\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 78.24.0.?, $\ldots$ |
$[(373, 17144)]$ |
471510.h1 |
471510h2 |
471510.h |
471510h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{3} \cdot 3^{16} \cdot 5 \cdot 13^{8} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48360$ |
$12$ |
$0$ |
$3.866315390$ |
$1$ |
|
$2$ |
$25804800$ |
$2.759579$ |
$1265634906590809/383603561640$ |
$[1, -1, 0, -3427605, -1684745555]$ |
\(y^2+xy=x^3-x^2-3427605x-1684745555\) |
2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.? |
$[(-1459, 15179)]$ |
471510.h2 |
471510h1 |
471510.h |
471510h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 13^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48360$ |
$12$ |
$0$ |
$7.732630781$ |
$1$ |
|
$3$ |
$12902400$ |
$2.413002$ |
$957681397954009/156686400$ |
$[1, -1, 0, -3123405, -2123584475]$ |
\(y^2+xy=x^3-x^2-3123405x-2123584475\) |
2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.? |
$[(13410, 1531915)]$ |
471510.i1 |
471510i1 |
471510.i |
471510i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{5} \cdot 13^{3} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24180$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456000$ |
$1.799398$ |
$187247420361/396800000$ |
$[1, -1, 0, 41835, -5383819]$ |
\(y^2+xy=x^3-x^2+41835x-5383819\) |
24180.2.0.? |
$[]$ |
471510.j1 |
471510j1 |
471510.j |
471510j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2 \cdot 3^{11} \cdot 5^{5} \cdot 13^{10} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$4.152624778$ |
$1$ |
|
$2$ |
$129024000$ |
$3.603931$ |
$-462422340525417209209/1292244765581250$ |
$[1, -1, 0, -245038455, 1480006153575]$ |
\(y^2+xy=x^3-x^2-245038455x+1480006153575\) |
3720.2.0.? |
$[(-14277, 1445244)]$ |
471510.k1 |
471510k1 |
471510.k |
471510k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{15} \cdot 3^{13} \cdot 5^{6} \cdot 13^{7} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9672$ |
$2$ |
$0$ |
$3.473529373$ |
$1$ |
|
$0$ |
$67737600$ |
$3.332664$ |
$706088829719957111/451256832000000$ |
$[1, -1, 0, 28216800, 18629415936]$ |
\(y^2+xy=x^3-x^2+28216800x+18629415936\) |
9672.2.0.? |
$[(7827/2, 2273673/2)]$ |
471510.l1 |
471510l1 |
471510.l |
471510l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{23} \cdot 3^{17} \cdot 5^{3} \cdot 13^{6} \cdot 31^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$46.37850061$ |
$1$ |
|
$0$ |
$1678786560$ |
$4.766647$ |
$-124427822010671478697670089/5317924709672681472000$ |
$[1, -1, 0, -15819538500, -793613580671664]$ |
\(y^2+xy=x^3-x^2-15819538500x-793613580671664\) |
3720.2.0.? |
$[(288423450864107908859715/782056651, 148564757188220439833495359479038949/782056651)]$ |
471510.m1 |
471510m4 |
471510.m |
471510m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{12} \cdot 13^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$69.21384151$ |
$4$ |
$2$ |
$0$ |
$2543321088$ |
$5.049988$ |
$5012808770744123733046717639129/16321500000000000$ |
$[1, -1, 0, -542310927885, -153716421029442075]$ |
\(y^2+xy=x^3-x^2-542310927885x-153716421029442075\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 372.12.0.?, $\ldots$ |
$[(33207572758423854811975269875379/5197807790173, 142892120852881449824659217631655117935098287728/5197807790173)]$ |
471510.m2 |
471510m3 |
471510.m |
471510m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{22} \cdot 5^{3} \cdot 13^{10} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$17.30346037$ |
$1$ |
|
$0$ |
$2543321088$ |
$5.049988$ |
$1447120434734326449115621849/290670009882258329856000$ |
$[1, -1, 0, -35841777165, -2110366969569819]$ |
\(y^2+xy=x^3-x^2-35841777165x-2110366969569819\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 312.12.0.?, 744.12.0.?, $\ldots$ |
$[(163776864255/719, 50266337720431071/719)]$ |
471510.m3 |
471510m2 |
471510.m |
471510m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{22} \cdot 3^{14} \cdot 5^{6} \cdot 13^{8} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$48360$ |
$48$ |
$0$ |
$34.60692075$ |
$1$ |
|
$2$ |
$1271660544$ |
$4.703415$ |
$1223880546761358893859301849/69832897265664000000$ |
$[1, -1, 0, -33894897165, -2401743649761819]$ |
\(y^2+xy=x^3-x^2-33894897165x-2401743649761819\) |
2.6.0.a.1, 40.12.0.a.1, 312.12.0.?, 372.12.0.?, 780.12.0.?, $\ldots$ |
$[(175174720528761747/734099, 57165074649035308525410567/734099)]$ |
471510.m4 |
471510m1 |
471510.m |
471510m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{44} \cdot 3^{10} \cdot 5^{3} \cdot 13^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$69.21384151$ |
$1$ |
|
$1$ |
$635830272$ |
$4.356834$ |
$-250386371942892200094169/71782716130983936000$ |
$[1, -1, 0, -1997215245, -42010557147675]$ |
\(y^2+xy=x^3-x^2-1997215245x-42010557147675\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 372.12.0.?, $\ldots$ |
$[(33540385566628738533372470591619/20343929223913, 152231448198128185961867857917232764353330661360/20343929223913)]$ |
471510.n1 |
471510n4 |
471510.n |
471510n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{3} \cdot 3^{18} \cdot 5 \cdot 13^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$5.571990462$ |
$4$ |
$2$ |
$2$ |
$17694720$ |
$2.643509$ |
$32208729120020809/658986840$ |
$[1, -1, 0, -10081980, -12318855080]$ |
\(y^2+xy=x^3-x^2-10081980x-12318855080\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[(-1827, 763)]$ |
471510.n2 |
471510n2 |
471510.n |
471510n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$48360$ |
$48$ |
$0$ |
$2.785995231$ |
$1$ |
|
$8$ |
$8847360$ |
$2.296936$ |
$8702409880009/1120910400$ |
$[1, -1, 0, -651780, -178415600]$ |
\(y^2+xy=x^3-x^2-651780x-178415600\) |
2.6.0.a.1, 24.12.0.a.1, 52.12.0-2.a.1.1, 312.24.0.?, 1240.12.0.?, $\ldots$ |
$[(-475, 5120)]$ |
471510.n3 |
471510n1 |
471510.n |
471510n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 13^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1.392997615$ |
$1$ |
|
$7$ |
$4423680$ |
$1.950361$ |
$141339344329/17141760$ |
$[1, -1, 0, -165060, 22989136]$ |
\(y^2+xy=x^3-x^2-165060x+22989136\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[(335, 2114)]$ |
471510.n4 |
471510n3 |
471510.n |
471510n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 13^{6} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$5.571990462$ |
$1$ |
|
$2$ |
$17694720$ |
$2.643509$ |
$30579142915511/124675335000$ |
$[1, -1, 0, 990900, -933719864]$ |
\(y^2+xy=x^3-x^2+990900x-933719864\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$ |
$[(2727, 147103)]$ |
471510.o1 |
471510o1 |
471510.o |
471510o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 13^{8} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$248$ |
$2$ |
$0$ |
$2.710781364$ |
$1$ |
|
$2$ |
$39836160$ |
$2.927525$ |
$31772115999/23274218750$ |
$[1, -1, 0, 554880, -5658116554]$ |
\(y^2+xy=x^3-x^2+554880x-5658116554\) |
248.2.0.? |
$[(112343, 37599141)]$ |
471510.p1 |
471510p1 |
471510.p |
471510p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5 \cdot 13^{7} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24180$ |
$2$ |
$0$ |
$8.511401537$ |
$1$ |
|
$0$ |
$47416320$ |
$3.103825$ |
$-115304327640815067/31726223360$ |
$[1, -1, 0, -46269105, -121156445539]$ |
\(y^2+xy=x^3-x^2-46269105x-121156445539\) |
24180.2.0.? |
$[(272965/4, 128326879/4)]$ |
471510.q1 |
471510q3 |
471510.q |
471510q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{2} \cdot 13^{18} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$198180864$ |
$3.909187$ |
$881535188079627101929/433344383278146600$ |
$[1, -1, 0, -303832710, 791012924716]$ |
\(y^2+xy=x^3-x^2-303832710x+791012924716\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
471510.q2 |
471510q2 |
471510.q |
471510q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 13^{12} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$99090432$ |
$3.562614$ |
$134564764541863949929/1669882841640000$ |
$[1, -1, 0, -162379710, -787800589484]$ |
\(y^2+xy=x^3-x^2-162379710x-787800589484\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 104.12.0.?, 248.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
471510.q3 |
471510q1 |
471510.q |
471510q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 13^{9} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49545216$ |
$3.216042$ |
$133358347042307244649/20922470400$ |
$[1, -1, 0, -161892990, -792807867500]$ |
\(y^2+xy=x^3-x^2-161892990x-792807867500\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
471510.q4 |
471510q4 |
471510.q |
471510q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{8} \cdot 13^{9} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$198180864$ |
$3.909187$ |
$-744093657485624809/513584458115625000$ |
$[1, -1, 0, -28714230, -2046154151300]$ |
\(y^2+xy=x^3-x^2-28714230x-2046154151300\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
471510.r1 |
471510r3 |
471510.r |
471510r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{8} \cdot 13^{10} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82575360$ |
$3.534538$ |
$337492110729985137289/298819462500000$ |
$[1, -1, 0, -220618800, 1260371020000]$ |
\(y^2+xy=x^3-x^2-220618800x+1260371020000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
471510.r2 |
471510r2 |
471510.r |
471510r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{4} \cdot 13^{8} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$41287680$ |
$3.187965$ |
$152417923851548809/75773543040000$ |
$[1, -1, 0, -16926480, 10066821376]$ |
\(y^2+xy=x^3-x^2-16926480x+10066821376\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 104.12.0.?, 248.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
471510.r3 |
471510r1 |
471510.r |
471510r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 13^{7} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20643840$ |
$2.841389$ |
$23989788887201929/285238886400$ |
$[1, -1, 0, -9138960, -10521824000]$ |
\(y^2+xy=x^3-x^2-9138960x-10521824000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
471510.r4 |
471510r4 |
471510.r |
471510r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{5} \cdot 3^{18} \cdot 5^{2} \cdot 13^{7} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82575360$ |
$3.534538$ |
$7550657627997219191/5104288007114400$ |
$[1, -1, 0, 62165520, 77342476576]$ |
\(y^2+xy=x^3-x^2+62165520x+77342476576\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
471510.s1 |
471510s2 |
471510.s |
471510s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{10} \cdot 13^{6} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33177600$ |
$2.947426$ |
$66928707375050045043/155000000000$ |
$[1, -1, 0, -42884880, 108105208576]$ |
\(y^2+xy=x^3-x^2-42884880x+108105208576\) |
2.3.0.a.1, 60.6.0.c.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
471510.s2 |
471510s1 |
471510.s |
471510s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{5} \cdot 13^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16588800$ |
$2.600853$ |
$-15780576012359283/787251200000$ |
$[1, -1, 0, -2649360, 1730540800]$ |
\(y^2+xy=x^3-x^2-2649360x+1730540800\) |
2.3.0.a.1, 30.6.0.a.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
471510.t1 |
471510t1 |
471510.t |
471510t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 13^{2} \cdot 31^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$310$ |
$2$ |
$0$ |
$0.909230140$ |
$1$ |
|
$4$ |
$7372800$ |
$2.258484$ |
$40161710435115191/32980781952000$ |
$[1, -1, 0, 355005, 52612821]$ |
\(y^2+xy=x^3-x^2+355005x+52612821\) |
310.2.0.? |
$[(-90, 4509)]$ |
471510.u1 |
471510u1 |
471510.u |
471510u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{5} \cdot 3^{13} \cdot 5^{2} \cdot 13^{7} \cdot 31^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9672$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82790400$ |
$3.384773$ |
$-1793830388826762649/651164313664800$ |
$[1, -1, 0, -38501865, 117310236525]$ |
\(y^2+xy=x^3-x^2-38501865x+117310236525\) |
9672.2.0.? |
$[]$ |
471510.v1 |
471510v1 |
471510.v |
471510v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( - 2^{10} \cdot 3^{14} \cdot 5 \cdot 13^{2} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$310$ |
$2$ |
$0$ |
$3.242681057$ |
$1$ |
|
$2$ |
$1966080$ |
$1.419762$ |
$-3215138887129/1041361920$ |
$[1, -1, 0, -15300, -905904]$ |
\(y^2+xy=x^3-x^2-15300x-905904\) |
310.2.0.? |
$[(360, 6156)]$ |