| 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 |
| 27225.a1 |
27225q1 |
27225.a |
27225q |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$253440$ |
$1.737741$ |
$-1216512/25$ |
$1.13667$ |
$4.52238$ |
$[0, 0, 1, -99825, -12353344]$ |
\(y^2+y=x^3-99825x-12353344\) |
6.2.0.a.1 |
$[ ]$ |
| 27225.b1 |
27225bs2 |
27225.b |
27225bs |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$330$ |
$48$ |
$1$ |
$5.479906245$ |
$1$ |
|
$0$ |
$336000$ |
$1.959875$ |
$-102400/3$ |
$1.04391$ |
$4.76498$ |
$[0, 0, 1, -226875, -42633594]$ |
\(y^2+y=x^3-226875x-42633594\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 110.24.0.?, 165.24.0.?, $\ldots$ |
$[(6809/2, 536873/2)]$ |
| 27225.b2 |
27225bs1 |
27225.b |
27225bs |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{11} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$330$ |
$48$ |
$1$ |
$1.095981249$ |
$1$ |
|
$4$ |
$67200$ |
$1.155155$ |
$20480/243$ |
$1.13104$ |
$3.63260$ |
$[0, 0, 1, 1815, 131436]$ |
\(y^2+y=x^3+1815x+131436\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 110.24.0.?, 165.24.0.?, $\ldots$ |
$[(44, 544)]$ |
| 27225.c1 |
27225br1 |
27225.c |
27225br |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.985670643$ |
$1$ |
|
$4$ |
$253440$ |
$1.916563$ |
$45056/27$ |
$1.13667$ |
$4.51896$ |
$[0, 0, 1, 99825, 2287656]$ |
\(y^2+y=x^3+99825x+2287656\) |
6.2.0.a.1 |
$[(0, 1512)]$ |
| 27225.d1 |
27225p1 |
27225.d |
27225p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.088100$ |
$-1216512/25$ |
$1.13667$ |
$3.75898$ |
$[0, 0, 1, -7425, -250594]$ |
\(y^2+y=x^3-7425x-250594\) |
6.2.0.a.1 |
$[ ]$ |
| 27225.e1 |
27225m1 |
27225.e |
27225m |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.695887$ |
$-675/11$ |
$1.13667$ |
$4.27591$ |
$[1, -1, 1, -14180, -3505928]$ |
\(y^2+xy+y=x^3-x^2-14180x-3505928\) |
132.2.0.? |
$[ ]$ |
| 27225.f1 |
27225l2 |
27225.f |
27225l |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$76800$ |
$1.514977$ |
$19034163/121$ |
$0.94120$ |
$4.31865$ |
$[1, -1, 1, -50480, -4328728]$ |
\(y^2+xy+y=x^3-x^2-50480x-4328728\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[ ]$ |
| 27225.f2 |
27225l1 |
27225.f |
27225l |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$38400$ |
$1.168402$ |
$19683/11$ |
$1.13667$ |
$3.64549$ |
$[1, -1, 1, -5105, 27272]$ |
\(y^2+xy+y=x^3-x^2-5105x+27272\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[ ]$ |
| 27225.g1 |
27225bm2 |
27225.g |
27225bm |
$2$ |
$11$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$1320$ |
$480$ |
$16$ |
$11.65791185$ |
$1$ |
|
$0$ |
$221760$ |
$2.035011$ |
$-121$ |
$0.94611$ |
$4.67589$ |
$[1, -1, 1, -68630, -27034378]$ |
\(y^2+xy+y=x^3-x^2-68630x-27034378\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 88.240.16.?, 165.120.1.?, $\ldots$ |
$[(231642/23, 60237410/23)]$ |
| 27225.g2 |
27225bm1 |
27225.g |
27225bm |
$2$ |
$11$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$1320$ |
$480$ |
$16$ |
$1.059810169$ |
$1$ |
|
$4$ |
$20160$ |
$0.836064$ |
$-24729001$ |
$0.96853$ |
$3.72778$ |
$[1, -1, 1, -6755, 215372]$ |
\(y^2+xy+y=x^3-x^2-6755x+215372\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 88.240.16.?, 165.120.1.?, $\ldots$ |
$[(48, -20)]$ |
| 27225.h1 |
27225bw1 |
27225.h |
27225bw |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{13} \cdot 5^{8} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$2.708643751$ |
$1$ |
|
$0$ |
$887040$ |
$2.782833$ |
$-10241915/2187$ |
$0.93118$ |
$5.63111$ |
$[1, -1, 1, -3961805, 3552290822]$ |
\(y^2+xy+y=x^3-x^2-3961805x+3552290822\) |
132.2.0.? |
$[(-4113/2, 650975/2)]$ |
| 27225.i1 |
27225bd1 |
27225.i |
27225bd |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{13} \cdot 5^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$0.779165$ |
$-10241915/2187$ |
$0.93118$ |
$3.27660$ |
$[1, -1, 1, -1310, -21018]$ |
\(y^2+xy+y=x^3-x^2-1310x-21018\) |
132.2.0.? |
$[ ]$ |
| 27225.j1 |
27225k1 |
27225.j |
27225k |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.10.0.1 |
5Nn |
$30$ |
$120$ |
$7$ |
$1$ |
$1$ |
|
$0$ |
$209088$ |
$1.997501$ |
$-1273201875$ |
$1.14877$ |
$5.21494$ |
$[1, -1, 1, -1066880, -423885338]$ |
\(y^2+xy+y=x^3-x^2-1066880x-423885338\) |
5.10.0.a.1, 6.6.0.b.1, 10.20.0.a.1, 15.20.0.b.1, 30.120.7.e.1 |
$[ ]$ |
| 27225.k1 |
27225y1 |
27225.k |
27225y |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.10.0.1 |
5Nn |
$30$ |
$120$ |
$7$ |
$1.813111906$ |
$1$ |
|
$2$ |
$95040$ |
$1.603273$ |
$-1273201875$ |
$1.14877$ |
$4.75168$ |
$[1, -1, 1, -220430, 39889072]$ |
\(y^2+xy+y=x^3-x^2-220430x+39889072\) |
5.10.0.a.1, 6.6.0.b.1, 10.20.0.a.1, 15.20.0.b.1, 30.120.7.e.1 |
$[(268, -40)]$ |
| 27225.l1 |
27225bl4 |
27225.l |
27225bl |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.297406796$ |
$1$ |
|
$6$ |
$368640$ |
$2.267307$ |
$22930509321/6875$ |
$1.07717$ |
$5.33607$ |
$[1, -1, 1, -1611380, 787507372]$ |
\(y^2+xy+y=x^3-x^2-1611380x+787507372\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 40.12.0.z.1, 44.12.0.h.1, $\ldots$ |
$[(718, 185)]$ |
| 27225.l2 |
27225bl3 |
27225.l |
27225bl |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{7} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$5.189627184$ |
$1$ |
|
$2$ |
$368640$ |
$2.267307$ |
$2749884201/73205$ |
$0.94591$ |
$5.12838$ |
$[1, -1, 1, -794630, -266100128]$ |
\(y^2+xy+y=x^3-x^2-794630x-266100128\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.5, $\ldots$ |
$[(2179, 90260)]$ |
| 27225.l3 |
27225bl2 |
27225.l |
27225bl |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$2.594813592$ |
$1$ |
|
$8$ |
$184320$ |
$1.920734$ |
$8120601/3025$ |
$1.05560$ |
$4.55798$ |
$[1, -1, 1, -114005, 8872372]$ |
\(y^2+xy+y=x^3-x^2-114005x+8872372\) |
2.6.0.a.1, 12.12.0-2.a.1.2, 20.12.0.b.1, 44.12.0.a.1, 60.24.0-20.b.1.4, $\ldots$ |
$[(364, 3755)]$ |
| 27225.l4 |
27225bl1 |
27225.l |
27225bl |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$5.189627184$ |
$1$ |
|
$3$ |
$92160$ |
$1.574160$ |
$59319/55$ |
$0.79207$ |
$4.07626$ |
$[1, -1, 1, 22120, 977122]$ |
\(y^2+xy+y=x^3-x^2+22120x+977122\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(8, 1070)]$ |
| 27225.m1 |
27225x1 |
27225.m |
27225x |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.10.0.1 |
5Nn |
$30$ |
$120$ |
$7$ |
$1.452696479$ |
$1$ |
|
$4$ |
$348480$ |
$2.252914$ |
$-1273201875$ |
$1.14877$ |
$5.51507$ |
$[1, -1, 1, -2963555, 1964407822]$ |
\(y^2+xy+y=x^3-x^2-2963555x+1964407822\) |
5.10.0.a.1, 6.6.0.b.1, 10.20.0.a.1, 15.20.0.b.1, 30.120.7.e.1 |
$[(994, -535)]$ |
| 27225.n1 |
27225j1 |
27225.n |
27225j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.10.0.1 |
5Nn |
$30$ |
$120$ |
$7$ |
$1$ |
$1$ |
|
$0$ |
$6336$ |
$0.249248$ |
$-1273201875$ |
$1.14877$ |
$3.16056$ |
$[1, -1, 1, -980, -11558]$ |
\(y^2+xy+y=x^3-x^2-980x-11558\) |
5.10.0.a.1, 6.6.0.b.1, 10.20.0.a.1, 15.20.0.b.1, 30.120.7.e.1 |
$[ ]$ |
| 27225.o1 |
27225be1 |
27225.o |
27225be |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$405504$ |
$2.212601$ |
$205379/75$ |
$0.85570$ |
$4.90232$ |
$[1, -1, 1, -368105, -52123728]$ |
\(y^2+xy+y=x^3-x^2-368105x-52123728\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[ ]$ |
| 27225.o2 |
27225be2 |
27225.o |
27225be |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 5^{10} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$2.559174$ |
$5929741/5625$ |
$0.92615$ |
$5.23163$ |
$[1, -1, 1, 1129270, -369567228]$ |
\(y^2+xy+y=x^3-x^2+1129270x-369567228\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[ ]$ |
| 27225.p1 |
27225bn1 |
27225.p |
27225bn |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{11} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$5.589755737$ |
$1$ |
|
$2$ |
$40320$ |
$1.113188$ |
$-1459161/3125$ |
$0.94232$ |
$3.60219$ |
$[1, -1, 1, -2630, -111878]$ |
\(y^2+xy+y=x^3-x^2-2630x-111878\) |
20.2.0.a.1 |
$[(1304, 46385)]$ |
| 27225.q1 |
27225z1 |
27225.q |
27225z |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{4} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.986403284$ |
$1$ |
|
$2$ |
$69120$ |
$1.440474$ |
$-675/11$ |
$1.13667$ |
$3.97577$ |
$[1, -1, 1, -5105, 759322]$ |
\(y^2+xy+y=x^3-x^2-5105x+759322\) |
132.2.0.? |
$[(223, 3155)]$ |
| 27225.r1 |
27225bo4 |
27225.r |
27225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.146444646$ |
$1$ |
|
$6$ |
$737280$ |
$2.540340$ |
$347873904937/395307$ |
$1.00913$ |
$5.60237$ |
$[1, -1, 1, -3989030, 3064527722]$ |
\(y^2+xy+y=x^3-x^2-3989030x+3064527722\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.3, 88.12.0.?, $\ldots$ |
$[(1114, 955)]$ |
| 27225.r2 |
27225bo2 |
27225.r |
27225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{12} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$4.292889292$ |
$1$ |
|
$6$ |
$368640$ |
$2.193768$ |
$169112377/88209$ |
$1.00669$ |
$4.85530$ |
$[1, -1, 1, -313655, 21317222]$ |
\(y^2+xy+y=x^3-x^2-313655x+21317222\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 44.12.0.b.1, 60.24.0-12.a.1.4, $\ldots$ |
$[(-470, 8281)]$ |
| 27225.r3 |
27225bo1 |
27225.r |
27225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$8.585778584$ |
$1$ |
|
$1$ |
$184320$ |
$1.847193$ |
$30664297/297$ |
$1.09706$ |
$4.68809$ |
$[1, -1, 1, -177530, -28504528]$ |
\(y^2+xy+y=x^3-x^2-177530x-28504528\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.3, 60.12.0-4.c.1.2, $\ldots$ |
$[(68436/7, 16725640/7)]$ |
| 27225.r4 |
27225bo3 |
27225.r |
27225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{18} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.146444646$ |
$1$ |
|
$2$ |
$737280$ |
$2.540340$ |
$9090072503/5845851$ |
$1.03763$ |
$5.24547$ |
$[1, -1, 1, 1183720, 165065222]$ |
\(y^2+xy+y=x^3-x^2+1183720x+165065222\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(1884, 94345)]$ |
| 27225.s1 |
27225by2 |
27225.s |
27225by |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 5^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$3.228271647$ |
$1$ |
|
$4$ |
$122880$ |
$1.566114$ |
$15069223/81$ |
$0.94101$ |
$4.38689$ |
$[1, -1, 1, -63680, -6140428]$ |
\(y^2+xy+y=x^3-x^2-63680x-6140428\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.cb.1, 40.12.0.bs.1, 88.12.0.?, $\ldots$ |
$[(-140, 196)]$ |
| 27225.s2 |
27225by1 |
27225.s |
27225by |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 5^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$6.456543294$ |
$1$ |
|
$3$ |
$61440$ |
$1.219542$ |
$-343/9$ |
$0.91450$ |
$3.71567$ |
$[1, -1, 1, -1805, -200428]$ |
\(y^2+xy+y=x^3-x^2-1805x-200428\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.cb.1, 40.12.0.bv.1, 60.12.0.bn.1, $\ldots$ |
$[(598, 14271)]$ |
| 27225.t1 |
27225bx2 |
27225.t |
27225bx |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 5^{3} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$2.654249255$ |
$1$ |
|
$4$ |
$270336$ |
$1.960344$ |
$15069223/81$ |
$0.94101$ |
$4.85015$ |
$[1, -1, 1, -308210, 65629842]$ |
\(y^2+xy+y=x^3-x^2-308210x+65629842\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.cb.1, 40.12.0.bs.1, 88.12.0.?, $\ldots$ |
$[(-30, 8666)]$ |
| 27225.t2 |
27225bx1 |
27225.t |
27225bx |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 5^{3} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$5.308498510$ |
$1$ |
|
$3$ |
$135168$ |
$1.613770$ |
$-343/9$ |
$0.91450$ |
$4.17893$ |
$[1, -1, 1, -8735, 2141142]$ |
\(y^2+xy+y=x^3-x^2-8735x+2141142\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.cb.1, 40.12.0.bv.1, 60.12.0.bn.1, $\ldots$ |
$[(18, 1401)]$ |
| 27225.u1 |
27225s1 |
27225.u |
27225s |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$0.655006394$ |
$1$ |
|
$4$ |
$57600$ |
$1.225441$ |
$0$ |
|
$3.72247$ |
$[0, 0, 1, 0, -207969]$ |
\(y^2+y=x^3-207969\) |
|
$[(275, 4537)]$ |
| 27225.u2 |
27225s2 |
27225.u |
27225s |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$1.965019184$ |
$1$ |
|
$2$ |
$172800$ |
$1.774748$ |
$0$ |
|
$4.36796$ |
$[0, 0, 1, 0, 5615156]$ |
\(y^2+y=x^3+5615156\) |
|
$[(264, 4900)]$ |
| 27225.v1 |
27225d2 |
27225.v |
27225d |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$4.252648328$ |
$1$ |
|
$10$ |
$48384$ |
$1.106859$ |
$0$ |
|
$3.58312$ |
$[0, 0, 1, 0, -102094]$ |
\(y^2+y=x^3-102094\) |
|
$[(60, 337), (114, 1174)]$ |
| 27225.v2 |
27225d1 |
27225.v |
27225d |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$0.472516480$ |
$1$ |
|
$12$ |
$16128$ |
$0.557553$ |
$0$ |
|
$2.93763$ |
$[0, 0, 1, 0, 3781]$ |
\(y^2+y=x^3+3781\) |
|
$[(55, 412), (-11, 49)]$ |
| 27225.w1 |
27225t1 |
27225.w |
27225t |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.450203675$ |
$1$ |
|
$4$ |
$5472$ |
$-0.110336$ |
$0$ |
|
$2.15279$ |
$[0, 0, 1, 0, -69]$ |
\(y^2+y=x^3-69\) |
|
$[(5, 7)]$ |
| 27225.w2 |
27225t2 |
27225.w |
27225t |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.350611027$ |
$1$ |
|
$2$ |
$16416$ |
$0.438970$ |
$0$ |
|
$2.79828$ |
$[0, 0, 1, 0, 1856]$ |
\(y^2+y=x^3+1856\) |
|
$[(-6, 40)]$ |
| 27225.x1 |
27225e2 |
27225.x |
27225e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$0$ |
$902880$ |
$2.442638$ |
$0$ |
|
$5.15279$ |
$[0, 0, 1, 0, -308833594]$ |
\(y^2+y=x^3-308833594\) |
|
$[ ]$ |
| 27225.x2 |
27225e1 |
27225.x |
27225e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$300960$ |
$1.893332$ |
$0$ |
|
$4.50730$ |
$[0, 0, 1, 0, 11438281]$ |
\(y^2+y=x^3+11438281\) |
|
$[ ]$ |
| 27225.y1 |
27225bg1 |
27225.y |
27225bg |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$0.925551758$ |
$1$ |
|
$4$ |
$69120$ |
$1.447042$ |
$-56197120/3267$ |
$0.94162$ |
$4.12637$ |
$[0, 0, 1, -25410, 1635466]$ |
\(y^2+y=x^3-25410x+1635466\) |
3.4.0.a.1, 6.8.0.b.1, 165.8.0.?, 330.16.0.? |
$[(-44, 1633)]$ |
| 27225.y2 |
27225bg2 |
27225.y |
27225bg |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 5^{2} \cdot 11^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$2.776655274$ |
$1$ |
|
$2$ |
$207360$ |
$1.996349$ |
$8990228480/5314683$ |
$1.15904$ |
$4.61397$ |
$[0, 0, 1, 137940, 2893261]$ |
\(y^2+y=x^3+137940x+2893261\) |
3.4.0.a.1, 6.8.0.b.1, 165.8.0.?, 330.16.0.? |
$[(451, 12523)]$ |
| 27225.z1 |
27225bh2 |
27225.z |
27225bh |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{12} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$7.112979189$ |
$1$ |
|
$2$ |
$248832$ |
$2.080551$ |
$-196566176333824/421875$ |
$1.06963$ |
$5.28366$ |
$[0, 0, 1, -1348050, -602431844]$ |
\(y^2+y=x^3-1348050x-602431844\) |
3.4.0.a.1, 6.8.0.b.1, 165.8.0.?, 330.16.0.? |
$[(7726, 670936)]$ |
| 27225.z2 |
27225bh1 |
27225.z |
27225bh |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{15} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$2.370993063$ |
$1$ |
|
$2$ |
$82944$ |
$1.531244$ |
$-123633664/492075$ |
$1.03272$ |
$4.08749$ |
$[0, 0, 1, -11550, -1340969]$ |
\(y^2+y=x^3-11550x-1340969\) |
3.4.0.a.1, 6.8.0.b.1, 165.8.0.?, 330.16.0.? |
$[(301, 4738)]$ |
| 27225.ba1 |
27225ba2 |
27225.ba |
27225ba |
$2$ |
$11$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$142560$ |
$1.929899$ |
$-32768$ |
$1.02512$ |
$4.72762$ |
$[0, 0, 1, -199650, 35229906]$ |
\(y^2+y=x^3-199650x+35229906\) |
|
$[ ]$ |
| 27225.ba2 |
27225ba1 |
27225.ba |
27225ba |
$2$ |
$11$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$12960$ |
$0.730952$ |
$-32768$ |
$1.02512$ |
$3.31874$ |
$[0, 0, 1, -1650, -26469]$ |
\(y^2+y=x^3-1650x-26469\) |
|
$[ ]$ |
| 27225.bb1 |
27225bf2 |
27225.bb |
27225bf |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{12} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1.313313683$ |
$1$ |
|
$4$ |
$2737152$ |
$3.279499$ |
$-196566176333824/421875$ |
$1.06963$ |
$6.69254$ |
$[0, 0, 1, -163114050, 801836784031]$ |
\(y^2+y=x^3-163114050x+801836784031\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[(7381, 1633)]$ |
| 27225.bb2 |
27225bf1 |
27225.bb |
27225bf |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{15} \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$3.939941049$ |
$1$ |
|
$2$ |
$912384$ |
$2.730190$ |
$-123633664/492075$ |
$1.03272$ |
$5.49637$ |
$[0, 0, 1, -1397550, 1784829406]$ |
\(y^2+y=x^3-1397550x+1784829406\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[(334, 36814)]$ |
| 27225.bc1 |
27225bz1 |
27225.bc |
27225bz |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$2.251762$ |
$-56197120/3267$ |
$0.94162$ |
$5.07199$ |
$[0, 0, 1, -635250, 204433281]$ |
\(y^2+y=x^3-635250x+204433281\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.1, 66.16.0-6.b.1.1 |
$[ ]$ |
| 27225.bc2 |
27225bz2 |
27225.bc |
27225bz |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 5^{8} \cdot 11^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$2.801067$ |
$8990228480/5314683$ |
$1.15904$ |
$5.55959$ |
$[0, 0, 1, 3448500, 361657656]$ |
\(y^2+y=x^3+3448500x+361657656\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.2, 66.16.0-6.b.1.2 |
$[ ]$ |
