| 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 |
| 12138.a1 |
12138c2 |
12138.a |
12138c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 7^{6} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$47.10378477$ |
$1$ |
|
$0$ |
$4626720$ |
$3.696976$ |
$-42484640023394137/59954864062464$ |
$1.06227$ |
$7.21548$ |
$[1, 1, 0, -91833079, -628148863211]$ |
\(y^2+xy=x^3+x^2-91833079x-628148863211\) |
3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.1, 408.16.0.? |
$[(3781622811146602012075/487231602, 160661284377859106249057773562561/487231602)]$ |
| 12138.a2 |
12138c1 |
12138.a |
12138c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{15} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$15.70126159$ |
$1$ |
|
$0$ |
$1542240$ |
$3.147671$ |
$49218965184023/89996344704$ |
$1.04269$ |
$6.44712$ |
$[1, 1, 0, 9644936, 16946878144]$ |
\(y^2+xy=x^3+x^2+9644936x+16946878144\) |
3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.2, 408.16.0.? |
$[(-5600693/66, 14335177801/66)]$ |
| 12138.b1 |
12138d2 |
12138.b |
12138d |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{5} \cdot 7^{5} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$2.568913277$ |
$1$ |
|
$4$ |
$16000$ |
$0.737856$ |
$-14544652121/8168202$ |
$0.96339$ |
$3.46428$ |
$[1, 1, 0, -864, -14094]$ |
\(y^2+xy=x^3+x^2-864x-14094\) |
5.6.0.a.1, 85.24.0.?, 840.12.0.?, 2856.2.0.?, 14280.48.1.? |
$[(35, -9)]$ |
| 12138.b2 |
12138d1 |
12138.b |
12138d |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3 \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$0.513782655$ |
$1$ |
|
$4$ |
$3200$ |
$-0.066863$ |
$-68921/672$ |
$0.88308$ |
$2.39494$ |
$[1, 1, 0, -14, 84]$ |
\(y^2+xy=x^3+x^2-14x+84\) |
5.6.0.a.1, 85.24.0.?, 840.12.0.?, 2856.2.0.?, 14280.48.1.? |
$[(1, 8)]$ |
| 12138.c1 |
12138f1 |
12138.c |
12138f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{19} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$85120$ |
$1.695934$ |
$150900148890919/1041386274432$ |
$1.14332$ |
$4.62972$ |
$[1, 1, 0, 18856, 3301824]$ |
\(y^2+xy=x^3+x^2+18856x+3301824\) |
2856.2.0.? |
$[]$ |
| 12138.d1 |
12138a4 |
12138.d |
12138a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 3^{5} \cdot 7^{10} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$39.77162845$ |
$1$ |
|
$0$ |
$1088000$ |
$2.995407$ |
$1246079601667529/137282971014$ |
$1.02189$ |
$6.40760$ |
$[1, 1, 0, -11014229, -12664210113]$ |
\(y^2+xy=x^3+x^2-11014229x-12664210113\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 85.24.0.?, 120.36.0.?, $\ldots$ |
$[(125438900744359999/5748145, 2683905602991047034949692/5748145)]$ |
| 12138.d2 |
12138a2 |
12138.d |
12138a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$7.954325690$ |
$1$ |
|
$0$ |
$217600$ |
$2.190689$ |
$14830727012009/4704$ |
$0.99672$ |
$5.93642$ |
$[1, 1, 0, -2514739, 1533878413]$ |
\(y^2+xy=x^3+x^2-2514739x+1533878413\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 85.24.0.?, 120.36.0.?, $\ldots$ |
$[(23289/5, 49628/5)]$ |
| 12138.d3 |
12138a1 |
12138.d |
12138a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$3.977162845$ |
$1$ |
|
$3$ |
$108800$ |
$1.844114$ |
$-3574558889/64512$ |
$1.00624$ |
$5.05383$ |
$[1, 1, 0, -156499, 24133165]$ |
\(y^2+xy=x^3+x^2-156499x+24133165\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 70.36.0.b.2, 85.24.0.?, $\ldots$ |
$[(342, 3109)]$ |
| 12138.d4 |
12138a3 |
12138.d |
12138a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{5} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$19.88581422$ |
$1$ |
|
$1$ |
$544000$ |
$2.648834$ |
$736558976791/3969746172$ |
$1.01975$ |
$5.84235$ |
$[1, 1, 0, 924361, -985881375]$ |
\(y^2+xy=x^3+x^2+924361x-985881375\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 70.36.0.b.1, 85.24.0.?, $\ldots$ |
$[(457894012/463, 10179903387287/463)]$ |
| 12138.e1 |
12138e2 |
12138.e |
12138e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$261120$ |
$2.052803$ |
$20324066489/1411788$ |
$0.95438$ |
$5.23538$ |
$[1, 1, 0, -279324, -53418540]$ |
\(y^2+xy=x^3+x^2-279324x-53418540\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 12138.e2 |
12138e1 |
12138.e |
12138e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$130560$ |
$1.706228$ |
$3442951/49392$ |
$0.94711$ |
$4.64904$ |
$[1, 1, 0, 15456, -3600720]$ |
\(y^2+xy=x^3+x^2+15456x-3600720\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[]$ |
| 12138.f1 |
12138b1 |
12138.f |
12138b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$0.574590925$ |
$1$ |
|
$4$ |
$2592$ |
$-0.150517$ |
$-11984473/2646$ |
$0.85812$ |
$2.37011$ |
$[1, 1, 0, -31, 67]$ |
\(y^2+xy=x^3+x^2-31x+67\) |
3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.2, 408.16.0.? |
$[(3, 2)]$ |
| 12138.f2 |
12138b2 |
12138.f |
12138b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.723772776$ |
$1$ |
|
$0$ |
$7776$ |
$0.398790$ |
$4271073047/2823576$ |
$0.96443$ |
$2.96058$ |
$[1, 1, 0, 224, -392]$ |
\(y^2+xy=x^3+x^2+224x-392\) |
3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.1, 408.16.0.? |
$[(63/2, 623/2)]$ |
| 12138.g1 |
12138p1 |
12138.g |
12138p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$44064$ |
$1.266090$ |
$-11984473/2646$ |
$0.85812$ |
$4.17776$ |
$[1, 0, 1, -9110, 392582]$ |
\(y^2+xy+y=x^3-9110x+392582\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[]$ |
| 12138.g2 |
12138p2 |
12138.g |
12138p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$132192$ |
$1.815397$ |
$4271073047/2823576$ |
$0.96443$ |
$4.76822$ |
$[1, 0, 1, 64585, -2378350]$ |
\(y^2+xy+y=x^3+64585x-2378350\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[]$ |
| 12138.h1 |
12138i2 |
12138.h |
12138i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$0.636196$ |
$20324066489/1411788$ |
$0.95438$ |
$3.42773$ |
$[1, 0, 1, -967, -10930]$ |
\(y^2+xy+y=x^3-967x-10930\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 12138.h2 |
12138i1 |
12138.h |
12138i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.289622$ |
$3442951/49392$ |
$0.94711$ |
$2.84139$ |
$[1, 0, 1, 53, -730]$ |
\(y^2+xy+y=x^3+53x-730\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[]$ |
| 12138.i1 |
12138l4 |
12138.i |
12138l |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 3^{5} \cdot 7^{10} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$0.454877569$ |
$1$ |
|
$6$ |
$64000$ |
$1.578800$ |
$1246079601667529/137282971014$ |
$1.02189$ |
$4.59995$ |
$[1, 0, 1, -38112, -2579936]$ |
\(y^2+xy+y=x^3-38112x-2579936\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 85.24.0.?, 120.36.0.?, $\ldots$ |
$[(-112, 591)]$ |
| 12138.i2 |
12138l2 |
12138.i |
12138l |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$2.274387848$ |
$1$ |
|
$2$ |
$12800$ |
$0.774081$ |
$14830727012009/4704$ |
$0.99672$ |
$4.12877$ |
$[1, 0, 1, -8702, 311696]$ |
\(y^2+xy+y=x^3-8702x+311696\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 85.24.0.?, 120.36.0.?, $\ldots$ |
$[(56, 0)]$ |
| 12138.i3 |
12138l1 |
12138.i |
12138l |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$1.137193924$ |
$1$ |
|
$5$ |
$6400$ |
$0.427508$ |
$-3574558889/64512$ |
$1.00624$ |
$3.24619$ |
$[1, 0, 1, -542, 4880]$ |
\(y^2+xy+y=x^3-542x+4880\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 70.36.0.b.2, 85.24.0.?, $\ldots$ |
$[(5, 45)]$ |
| 12138.i4 |
12138l3 |
12138.i |
12138l |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{5} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$14280$ |
$288$ |
$5$ |
$0.227438784$ |
$1$ |
|
$15$ |
$32000$ |
$1.232227$ |
$736558976791/3969746172$ |
$1.01975$ |
$4.03470$ |
$[1, 0, 1, 3198, -200480]$ |
\(y^2+xy+y=x^3+3198x-200480\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 70.36.0.b.1, 85.24.0.?, $\ldots$ |
$[(59, 411)]$ |
| 12138.j1 |
12138m2 |
12138.j |
12138m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$0.792581868$ |
$1$ |
|
$6$ |
$774144$ |
$2.755993$ |
$18575453384550358633/352517816448$ |
$1.01892$ |
$6.52563$ |
$[1, 0, 1, -15945437, 24505979384]$ |
\(y^2+xy+y=x^3-15945437x+24505979384\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(2268, 1900)]$ |
| 12138.j2 |
12138m1 |
12138.j |
12138m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{3} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$0.396290934$ |
$1$ |
|
$9$ |
$387072$ |
$2.409420$ |
$-4100379159705193/626805817344$ |
$1.03275$ |
$5.65536$ |
$[1, 0, 1, -963677, 409316600]$ |
\(y^2+xy+y=x^3-963677x+409316600\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(-690, 27655)]$ |
| 12138.k1 |
12138g1 |
12138.k |
12138g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{5} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$587520$ |
$2.590443$ |
$-344002044213921241/1011143540736$ |
$1.00402$ |
$6.10200$ |
$[1, 0, 1, -4218684, -3343946630]$ |
\(y^2+xy+y=x^3-4218684x-3343946630\) |
2856.2.0.? |
$[]$ |
| 12138.l1 |
12138k1 |
12138.l |
12138k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$0.808816151$ |
$1$ |
|
$4$ |
$34560$ |
$1.214516$ |
$-5841725401/231336$ |
$0.88993$ |
$4.20601$ |
$[1, 0, 1, -10844, -450142]$ |
\(y^2+xy+y=x^3-10844x-450142\) |
2856.2.0.? |
$[(126, 370)]$ |
| 12138.m1 |
12138h2 |
12138.m |
12138h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.577511$ |
$6141556990297/1019592$ |
$0.94654$ |
$4.93885$ |
$[1, 0, 1, -110260, 14080778]$ |
\(y^2+xy+y=x^3-110260x+14080778\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[]$ |
| 12138.m2 |
12138h1 |
12138.m |
12138h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.230936$ |
$-1102302937/616896$ |
$0.88613$ |
$4.09359$ |
$[1, 0, 1, -6220, 264266]$ |
\(y^2+xy+y=x^3-6220x+264266\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[]$ |
| 12138.n1 |
12138j1 |
12138.n |
12138j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{19} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1447040$ |
$3.112541$ |
$150900148890919/1041386274432$ |
$1.14332$ |
$6.43737$ |
$[1, 0, 1, 5449233, 16183716322]$ |
\(y^2+xy+y=x^3+5449233x+16183716322\) |
2856.2.0.? |
$[]$ |
| 12138.o1 |
12138n2 |
12138.o |
12138n |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{5} \cdot 7^{5} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$0.953045267$ |
$1$ |
|
$4$ |
$272000$ |
$2.154461$ |
$-14544652121/8168202$ |
$0.96339$ |
$5.27192$ |
$[1, 0, 1, -249847, -67495252]$ |
\(y^2+xy+y=x^3-249847x-67495252\) |
5.6.0.a.1, 85.24.0.?, 840.12.0.?, 2856.2.0.?, 14280.48.1.? |
$[(2914, 153302)]$ |
| 12138.o2 |
12138n1 |
12138.o |
12138n |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3 \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$4.765226335$ |
$1$ |
|
$0$ |
$54400$ |
$1.349743$ |
$-68921/672$ |
$0.88308$ |
$4.20259$ |
$[1, 0, 1, -4197, 441712]$ |
\(y^2+xy+y=x^3-4197x+441712\) |
5.6.0.a.1, 85.24.0.?, 840.12.0.?, 2856.2.0.?, 14280.48.1.? |
$[(5800/7, 414329/7)]$ |
| 12138.p1 |
12138o2 |
12138.p |
12138o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$272160$ |
$2.280369$ |
$-42484640023394137/59954864062464$ |
$1.06227$ |
$5.40784$ |
$[1, 0, 1, -317762, -127873132]$ |
\(y^2+xy+y=x^3-317762x-127873132\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[]$ |
| 12138.p2 |
12138o1 |
12138.p |
12138o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{15} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$90720$ |
$1.731064$ |
$49218965184023/89996344704$ |
$1.04269$ |
$4.63948$ |
$[1, 0, 1, 33373, 3451358]$ |
\(y^2+xy+y=x^3+33373x+3451358\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[]$ |
| 12138.q1 |
12138s1 |
12138.q |
12138s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.165629398$ |
$1$ |
|
$8$ |
$8640$ |
$0.517793$ |
$30004847/42336$ |
$0.94258$ |
$3.07452$ |
$[1, 1, 1, 283, 2315]$ |
\(y^2+xy+y=x^3+x^2+283x+2315\) |
24.2.0.b.1 |
$[(35, 220)]$ |
| 12138.r1 |
12138r1 |
12138.r |
12138r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$5.311496336$ |
$1$ |
|
$2$ |
$29376$ |
$1.334089$ |
$-288568081/1176$ |
$0.89132$ |
$4.48243$ |
$[1, 1, 1, -26305, -1658857]$ |
\(y^2+xy+y=x^3+x^2-26305x-1658857\) |
24.2.0.b.1 |
$[(757, 19942)]$ |
| 12138.s1 |
12138t1 |
12138.s |
12138t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73440$ |
$1.523176$ |
$-83521/95256$ |
$1.18021$ |
$4.42204$ |
$[1, 1, 1, -1740, 1239813]$ |
\(y^2+xy+y=x^3+x^2-1740x+1239813\) |
24.2.0.b.1 |
$[]$ |
| 12138.t1 |
12138q3 |
12138.t |
12138q |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 17^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$2799360$ |
$3.260715$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$7.14265$ |
$[1, 1, 1, -110311884, -446006527017]$ |
\(y^2+xy+y=x^3+x^2-110311884x-446006527017\) |
3.4.0.a.1, 9.36.0.d.2, 51.8.0-3.a.1.1, 153.72.0.?, 168.8.0.?, $\ldots$ |
$[]$ |
| 12138.t2 |
12138q2 |
12138.t |
12138q |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$8568$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$933120$ |
$2.711411$ |
$-101566487155393/42823570577256$ |
$1.05717$ |
$5.93821$ |
$[1, 1, 1, -280914, -1548021561]$ |
\(y^2+xy+y=x^3+x^2-280914x-1548021561\) |
3.12.0.a.1, 9.36.0.a.1, 51.24.0-3.a.1.1, 153.72.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 12138.t3 |
12138q1 |
12138.t |
12138q |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$2.162106$ |
$139233463487/58763045376$ |
$1.03208$ |
$5.23702$ |
$[1, 1, 1, 31206, 57274023]$ |
\(y^2+xy+y=x^3+x^2+31206x+57274023\) |
3.4.0.a.1, 9.36.0.d.1, 51.8.0-3.a.1.2, 153.72.0.?, 168.8.0.?, $\ldots$ |
$[]$ |
| 12138.u1 |
12138u1 |
12138.u |
12138u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$416160$ |
$2.341465$ |
$2280364702703/1560674304$ |
$1.00470$ |
$5.43604$ |
$[1, 1, 1, 523951, 62603183]$ |
\(y^2+xy+y=x^3+x^2+523951x+62603183\) |
24.2.0.b.1 |
$[]$ |
| 12138.v1 |
12138y1 |
12138.v |
12138y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.063955257$ |
$1$ |
|
$14$ |
$24480$ |
$0.924860$ |
$2280364702703/1560674304$ |
$1.00470$ |
$3.62840$ |
$[1, 0, 0, 1813, 12849]$ |
\(y^2+xy=x^3+1813x+12849\) |
24.2.0.b.1 |
$[(22, 241)]$ |
| 12138.w1 |
12138x1 |
12138.w |
12138x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3 \cdot 7 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$2.790061440$ |
$1$ |
|
$0$ |
$11520$ |
$0.645852$ |
$103823/714$ |
$0.80654$ |
$3.28973$ |
$[1, 0, 0, 283, -6021]$ |
\(y^2+xy=x^3+283x-6021\) |
2856.2.0.? |
$[(333/4, 5403/4)]$ |
| 12138.x1 |
12138bd1 |
12138.x |
12138bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 7 \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$2.217476$ |
$-1184052061112257/34349180544$ |
$0.97855$ |
$5.50355$ |
$[1, 0, 0, -636962, -200564796]$ |
\(y^2+xy=x^3-636962x-200564796\) |
2856.2.0.? |
$[]$ |
| 12138.y1 |
12138v1 |
12138.y |
12138v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.155589396$ |
$1$ |
|
$6$ |
$4320$ |
$0.106570$ |
$-83521/95256$ |
$1.18021$ |
$2.61439$ |
$[1, 0, 0, -6, 252]$ |
\(y^2+xy=x^3-6x+252\) |
24.2.0.b.1 |
$[(6, 18)]$ |
| 12138.z1 |
12138z1 |
12138.z |
12138z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$-0.082518$ |
$-288568081/1176$ |
$0.89132$ |
$2.67478$ |
$[1, 0, 0, -91, -343]$ |
\(y^2+xy=x^3-91x-343\) |
24.2.0.b.1 |
$[]$ |
| 12138.ba1 |
12138w5 |
12138.ba |
12138w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 7^{2} \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.245 |
2B |
$272$ |
$192$ |
$1$ |
$9.583860480$ |
$1$ |
|
$0$ |
$8847360$ |
$3.995735$ |
$285531136548675601769470657/17941034271597192$ |
$1.06247$ |
$8.28529$ |
$[1, 0, 0, -3964676562, -96086246480388]$ |
\(y^2+xy=x^3-3964676562x-96086246480388\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.2, 68.12.0-4.c.1.1, $\ldots$ |
$[(-6142626/13, 41766174/13)]$ |
| 12138.ba2 |
12138w3 |
12138.ba |
12138w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 7^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.110 |
2Cs |
$136$ |
$192$ |
$1$ |
$4.791930240$ |
$1$ |
|
$4$ |
$4423680$ |
$3.649162$ |
$70108386184777836280897/552468975892674624$ |
$1.07814$ |
$7.40141$ |
$[1, 0, 0, -248263722, -1495363594140]$ |
\(y^2+xy=x^3-248263722x-1495363594140\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.f.1.2, 68.24.0-4.b.1.1, 136.192.1.? |
$[(-9198, 104634)]$ |
| 12138.ba3 |
12138w6 |
12138.ba |
12138w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{32} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.213 |
2B |
$272$ |
$192$ |
$1$ |
$2.395965120$ |
$1$ |
|
$2$ |
$8847360$ |
$3.995735$ |
$-2770540998624539614657/209924951154647363208$ |
$1.08173$ |
$7.57701$ |
$[1, 0, 0, -84562562, -3437874298932]$ |
\(y^2+xy=x^3-84562562x-3437874298932\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.k.1.3, 16.96.0-16.e.1.7, 68.12.0-4.c.1.1, $\ldots$ |
$[(141226, 52857136)]$ |
| 12138.ba4 |
12138w2 |
12138.ba |
12138w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.20 |
2Cs |
$136$ |
$192$ |
$1$ |
$2.395965120$ |
$1$ |
|
$8$ |
$2211840$ |
$3.302589$ |
$82582985847542515777/44772582831427584$ |
$1.09721$ |
$6.68428$ |
$[1, 0, 0, -26219242, 12984558500]$ |
\(y^2+xy=x^3-26219242x+12984558500\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.i.1.5, 68.48.0-68.c.1.4, 136.192.1.? |
$[(50, 108020)]$ |
| 12138.ba5 |
12138w1 |
12138.ba |
12138w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.118 |
2B |
$272$ |
$192$ |
$1$ |
$1.197982560$ |
$1$ |
|
$11$ |
$1105920$ |
$2.956017$ |
$38331145780597164097/55468445663232$ |
$1.02142$ |
$6.60266$ |
$[1, 0, 0, -20300522, 35159634852]$ |
\(y^2+xy=x^3-20300522x+35159634852\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.8, 16.96.0-16.z.1.7, 34.6.0.a.1, $\ldots$ |
$[(628, 150214)]$ |
| 12138.ba6 |
12138w4 |
12138.ba |
12138w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 7^{16} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.167 |
2B |
$272$ |
$192$ |
$1$ |
$4.791930240$ |
$1$ |
|
$2$ |
$4423680$ |
$3.649162$ |
$4738217997934888496063/2928751705237796928$ |
$1.06742$ |
$7.11490$ |
$[1, 0, 0, 101125718, 102151499492]$ |
\(y^2+xy=x^3+101125718x+102151499492\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.6, 16.96.0-16.z.2.5, 68.24.0-68.h.1.1, $\ldots$ |
$[(806, 428762)]$ |
