| 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 |
| 35574.a1 |
35574o4 |
35574.a |
35574o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{8} \cdot 7^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$616$ |
$48$ |
$0$ |
$1.823838276$ |
$1$ |
|
$6$ |
$4423680$ |
$3.248135$ |
$7209828390823479793/49509306$ |
$1.02603$ |
$6.63063$ |
$[1, 1, 0, -238624586, 1418699640450]$ |
\(y^2+xy=x^3+x^2-238624586x+1418699640450\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 44.12.0-4.c.1.1, 56.24.0-56.z.1.16, $\ldots$ |
$[(8917, -4630)]$ |
| 35574.a2 |
35574o3 |
35574.a |
35574o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{18} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$616$ |
$48$ |
$0$ |
$7.295353105$ |
$1$ |
|
$2$ |
$4423680$ |
$3.248135$ |
$4770223741048753/2740574865798$ |
$1.17170$ |
$5.93204$ |
$[1, 1, 0, -20793126, 3095418726]$ |
\(y^2+xy=x^3+x^2-20793126x+3095418726\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 56.24.0-56.z.1.8, 88.24.0.?, $\ldots$ |
$[(14273, 1609726)]$ |
| 35574.a3 |
35574o2 |
35574.a |
35574o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{12} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$616$ |
$48$ |
$0$ |
$3.647676552$ |
$1$ |
|
$8$ |
$2211840$ |
$2.901558$ |
$1763535241378513/4612311396$ |
$1.08205$ |
$5.83708$ |
$[1, 1, 0, -14923416, 22133236140]$ |
\(y^2+xy=x^3+x^2-14923416x+22133236140\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0-28.b.1.3, $\ldots$ |
$[(2415, 12405)]$ |
| 35574.a4 |
35574o1 |
35574.a |
35574o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{9} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$616$ |
$48$ |
$0$ |
$1.823838276$ |
$1$ |
|
$7$ |
$1105920$ |
$2.554985$ |
$-100999381393/723148272$ |
$0.97843$ |
$5.15245$ |
$[1, 1, 0, -575236, 613835776]$ |
\(y^2+xy=x^3+x^2-575236x+613835776\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(259, 21832)]$ |
| 35574.b1 |
35574n1 |
35574.b |
35574n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3 \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.218137508$ |
$1$ |
|
$2$ |
$76032$ |
$1.265388$ |
$-13475473/2107392$ |
$1.00923$ |
$3.67299$ |
$[1, 1, 0, -1201, 263509]$ |
\(y^2+xy=x^3+x^2-1201x+263509\) |
168.2.0.? |
$[(-1, 515)]$ |
| 35574.c1 |
35574e1 |
35574.c |
35574e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{8} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1774080$ |
$2.665279$ |
$3053190217/209952$ |
$1.06920$ |
$5.40012$ |
$[1, 1, 0, -3243286, 2109010996]$ |
\(y^2+xy=x^3+x^2-3243286x+2109010996\) |
8.2.0.b.1 |
$[]$ |
| 35574.d1 |
35574b1 |
35574.d |
35574b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.435299829$ |
$1$ |
|
$6$ |
$80640$ |
$1.130972$ |
$48013/768$ |
$1.12662$ |
$3.51382$ |
$[1, 1, 0, 1494, 115284]$ |
\(y^2+xy=x^3+x^2+1494x+115284\) |
132.2.0.? |
$[(20, 382)]$ |
| 35574.e1 |
35574a1 |
35574.e |
35574a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{7} \cdot 3^{5} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$4.806381634$ |
$1$ |
|
$0$ |
$282240$ |
$1.854992$ |
$-991656390179/31104$ |
$1.01157$ |
$4.80789$ |
$[1, 1, 0, -409763, -101133171]$ |
\(y^2+xy=x^3+x^2-409763x-101133171\) |
264.2.0.? |
$[(3951/2, 167451/2)]$ |
| 35574.f1 |
35574i1 |
35574.f |
35574i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{7} \cdot 3^{5} \cdot 7^{9} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$10.46129074$ |
$1$ |
|
$0$ |
$1034880$ |
$2.599018$ |
$-1375/31104$ |
$1.13578$ |
$5.20033$ |
$[1, 1, 0, -47555, 789174093]$ |
\(y^2+xy=x^3+x^2-47555x+789174093\) |
168.2.0.? |
$[(599371/9, 461619701/9)]$ |
| 35574.g1 |
35574h2 |
35574.g |
35574h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$2.364820889$ |
$1$ |
|
$2$ |
$142560$ |
$1.544384$ |
$-29343015625/192$ |
$1.04053$ |
$4.50192$ |
$[1, 1, 0, -140725, 20260717]$ |
\(y^2+xy=x^3+x^2-140725x+20260717\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.2, 42.16.0-6.b.1.2 |
$[(218, -61)]$ |
| 35574.g2 |
35574h1 |
35574.g |
35574h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$0.788273629$ |
$1$ |
|
$2$ |
$47520$ |
$0.995078$ |
$-9625/108$ |
$0.88066$ |
$3.36491$ |
$[1, 1, 0, -970, 52144]$ |
\(y^2+xy=x^3+x^2-970x+52144\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1 |
$[(50, 338)]$ |
| 35574.h1 |
35574j4 |
35574.h |
35574j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{12} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$8.904305156$ |
$1$ |
|
$0$ |
$3317760$ |
$3.213459$ |
$312196988566716625/25367712678$ |
$1.01456$ |
$6.33103$ |
$[1, 1, 0, -83794680, -295252549038]$ |
\(y^2+xy=x^3+x^2-83794680x-295252549038\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.1, 28.6.0.c.1, $\ldots$ |
$[(-2812639/23, 5098629/23)]$ |
| 35574.h2 |
35574j3 |
35574.h |
35574j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 7^{9} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$4.452152578$ |
$1$ |
|
$3$ |
$1658880$ |
$2.866886$ |
$-61653281712625/21875235228$ |
$0.98159$ |
$5.56270$ |
$[1, 1, 0, -4879690, -5271526784]$ |
\(y^2+xy=x^3+x^2-4879690x-5271526784\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.1, $\ldots$ |
$[(4990, 305176)]$ |
| 35574.h3 |
35574j2 |
35574.h |
35574j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$2.968101718$ |
$1$ |
|
$4$ |
$1105920$ |
$2.664154$ |
$5290763640625/2291573592$ |
$1.03705$ |
$5.28274$ |
$[1, 1, 0, -2152350, 608689404]$ |
\(y^2+xy=x^3+x^2-2152350x+608689404\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.9, 28.6.0.c.1, $\ldots$ |
$[(83, 20710)]$ |
| 35574.h4 |
35574j1 |
35574.h |
35574j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{7} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1.484050859$ |
$1$ |
|
$7$ |
$552960$ |
$2.317581$ |
$50447927375/39517632$ |
$0.95390$ |
$4.83875$ |
$[1, 1, 0, 456410, 70763092]$ |
\(y^2+xy=x^3+x^2+456410x+70763092\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.9, $\ldots$ |
$[(-92, 5338)]$ |
| 35574.i1 |
35574k1 |
35574.i |
35574k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{2} \cdot 7^{10} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$3.874329594$ |
$1$ |
|
$0$ |
$564480$ |
$2.066345$ |
$18075297625/1152$ |
$1.03039$ |
$5.02592$ |
$[1, 1, 0, -877615, -316797851]$ |
\(y^2+xy=x^3+x^2-877615x-316797851\) |
8.2.0.b.1 |
$[(-2165/2, 3221/2)]$ |
| 35574.j1 |
35574l1 |
35574.j |
35574l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$308$ |
$16$ |
$0$ |
$0.960685270$ |
$1$ |
|
$4$ |
$27648$ |
$0.585083$ |
$-2259169/324$ |
$0.94639$ |
$2.98903$ |
$[1, 1, 0, -662, -7608]$ |
\(y^2+xy=x^3+x^2-662x-7608\) |
4.8.0.b.1, 308.16.0.? |
$[(62, 410)]$ |
| 35574.k1 |
35574d2 |
35574.k |
35574d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$1848$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$699720$ |
$2.306377$ |
$-6329617441/279936$ |
$1.03234$ |
$5.01908$ |
$[1, 1, 0, -836112, 304958592]$ |
\(y^2+xy=x^3+x^2-836112x+304958592\) |
7.24.0.a.1, 24.2.0.b.1, 77.48.0.?, 168.48.2.?, 1848.96.2.? |
$[]$ |
| 35574.k2 |
35574d1 |
35574.k |
35574d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3 \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$1848$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$99960$ |
$1.333424$ |
$-2401/6$ |
$1.11692$ |
$3.76067$ |
$[1, 1, 0, -6052, -420482]$ |
\(y^2+xy=x^3+x^2-6052x-420482\) |
7.24.0.a.2, 24.2.0.b.1, 77.48.0.?, 168.48.2.?, 1848.96.2.? |
$[]$ |
| 35574.l1 |
35574g2 |
35574.l |
35574g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$2.816269$ |
$512576216027/1143072$ |
$0.98391$ |
$5.74646$ |
$[1, 1, 0, -10873909, 13770363853]$ |
\(y^2+xy=x^3+x^2-10873909x+13770363853\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 924.6.0.?, 1848.12.0.? |
$[]$ |
| 35574.l2 |
35574g1 |
35574.l |
35574g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{7} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1520640$ |
$2.469692$ |
$-33698267/193536$ |
$0.95858$ |
$5.05569$ |
$[1, 1, 0, -438869, 369685485]$ |
\(y^2+xy=x^3+x^2-438869x+369685485\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.? |
$[]$ |
| 35574.m1 |
35574m2 |
35574.m |
35574m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{12} \cdot 7^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$8.693744992$ |
$1$ |
|
$0$ |
$9031680$ |
$3.494030$ |
$46546832455691959/748268928$ |
$1.13125$ |
$6.70649$ |
$[1, 1, 0, -311029534, 2111144052340]$ |
\(y^2+xy=x^3+x^2-311029534x+2111144052340\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(1026739/10, 8842693/10)]$ |
| 35574.m2 |
35574m1 |
35574.m |
35574m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$4.346872496$ |
$1$ |
|
$1$ |
$4515840$ |
$3.147453$ |
$-10358806345399/1445216256$ |
$0.99802$ |
$5.92454$ |
$[1, 1, 0, -18848414, 35080322292]$ |
\(y^2+xy=x^3+x^2-18848414x+35080322292\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(12971/2, 705769/2)]$ |
| 35574.n1 |
35574f1 |
35574.n |
35574f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$508032$ |
$2.005074$ |
$-2047314227/314928$ |
$1.00240$ |
$4.61176$ |
$[1, 1, 0, -190929, -36207387]$ |
\(y^2+xy=x^3+x^2-190929x-36207387\) |
132.2.0.? |
$[]$ |
| 35574.o1 |
35574p1 |
35574.o |
35574p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1.534378581$ |
$1$ |
|
$2$ |
$4055040$ |
$2.977600$ |
$-1397395501513/740710656$ |
$1.07707$ |
$5.67539$ |
$[1, 1, 0, -6830331, 9507650013]$ |
\(y^2+xy=x^3+x^2-6830331x+9507650013\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(6342, 467277)]$ |
| 35574.p1 |
35574c1 |
35574.p |
35574c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{7} \cdot 7^{4} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$8.576190942$ |
$1$ |
|
$0$ |
$443520$ |
$1.825518$ |
$107653/4374$ |
$1.02755$ |
$4.31214$ |
$[1, 1, 0, 17664, 7524378]$ |
\(y^2+xy=x^3+x^2+17664x+7524378\) |
264.2.0.? |
$[(-55991/25, 36443227/25)]$ |
| 35574.q1 |
35574q3 |
35574.q |
35574q |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 11^{11} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$9240$ |
$288$ |
$5$ |
$23.03103887$ |
$1$ |
|
$1$ |
$4320000$ |
$2.919758$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.23386$ |
$[1, 1, 0, -59675508, -177461094180]$ |
\(y^2+xy=x^3+x^2-59675508x-177461094180\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 40.72.1.t.1, $\ldots$ |
$[(3005240964010/5343, 5187333963008013370/5343)]$ |
| 35574.q2 |
35574q4 |
35574.q |
35574q |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 11^{16} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$9240$ |
$288$ |
$5$ |
$46.06207774$ |
$1$ |
|
$0$ |
$8640000$ |
$3.266331$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.23426$ |
$[1, 1, 0, -59616218, -177831241650]$ |
\(y^2+xy=x^3+x^2-59616218x-177831241650\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 40.72.1.c.2, $\ldots$ |
$[(9530321007571480668725/940386773, 541783748534337344881665979720390/940386773)]$ |
| 35574.q3 |
35574q1 |
35574.q |
35574q |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$4.606207774$ |
$1$ |
|
$1$ |
$864000$ |
$2.115036$ |
$10091699281/2737152$ |
$1.07340$ |
$4.68519$ |
$[1, 1, 0, -266928, 38580480]$ |
\(y^2+xy=x^3+x^2-266928x+38580480\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 40.72.1.t.2, $\ldots$ |
$[(10240/3, 923600/3)]$ |
| 35574.q4 |
35574q2 |
35574.q |
35574q |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 7^{6} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$9.212415548$ |
$1$ |
|
$0$ |
$1728000$ |
$2.461609$ |
$168105213359/228637728$ |
$1.10021$ |
$4.98226$ |
$[1, 1, 0, 681712, 252024480]$ |
\(y^2+xy=x^3+x^2+681712x+252024480\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 40.72.1.c.1, $\ldots$ |
$[(212341/15, 139069519/15)]$ |
| 35574.r1 |
35574ba2 |
35574.r |
35574ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{10} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.049224892$ |
$1$ |
|
$0$ |
$1622016$ |
$2.384926$ |
$286191179/43218$ |
$0.92671$ |
$5.03167$ |
$[1, 0, 1, -895403, 280283672]$ |
\(y^2+xy+y=x^3-895403x+280283672\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(1451/2, 12951/2)]$ |
| 35574.r2 |
35574ba1 |
35574.r |
35574ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{8} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$8.098449785$ |
$1$ |
|
$1$ |
$811008$ |
$2.038353$ |
$5735339/588$ |
$0.87391$ |
$4.65855$ |
$[1, 0, 1, -243213, -41898188]$ |
\(y^2+xy+y=x^3-243213x-41898188\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-22151/8, 560071/8)]$ |
| 35574.s1 |
35574y1 |
35574.s |
35574y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{7} \cdot 7^{10} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$3.591856341$ |
$1$ |
|
$2$ |
$3104640$ |
$2.798473$ |
$107653/4374$ |
$1.02755$ |
$5.42628$ |
$[1, 0, 1, 865510, -2578265098]$ |
\(y^2+xy+y=x^3+865510x-2578265098\) |
264.2.0.? |
$[(2430, 116578)]$ |
| 35574.t1 |
35574r1 |
35574.t |
35574r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.075912619$ |
$1$ |
|
$36$ |
$72576$ |
$1.032120$ |
$-2047314227/314928$ |
$1.00240$ |
$3.49762$ |
$[1, 0, 1, -3897, 105004]$ |
\(y^2+xy+y=x^3-3897x+105004\) |
132.2.0.? |
$[(263, 4026), (11, 246)]$ |
| 35574.u1 |
35574bk4 |
35574.u |
35574bk |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 3 \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$552960$ |
$2.076950$ |
$4824238966273/66$ |
$1.02376$ |
$5.27393$ |
$[1, 0, 1, -2087132, -1160747920]$ |
\(y^2+xy+y=x^3-2087132x-1160747920\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 35574.u2 |
35574bk2 |
35574.u |
35574bk |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$276480$ |
$1.730375$ |
$1180932193/4356$ |
$0.96736$ |
$4.48046$ |
$[1, 0, 1, -130562, -18111040]$ |
\(y^2+xy+y=x^3-130562x-18111040\) |
2.6.0.a.1, 8.12.0.b.1, 84.12.0.?, 132.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 35574.u3 |
35574bk3 |
35574.u |
35574bk |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7^{6} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$2.076950$ |
$-192100033/2371842$ |
$1.02507$ |
$4.60357$ |
$[1, 0, 1, -71272, -34617376]$ |
\(y^2+xy+y=x^3-71272x-34617376\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 168.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 35574.u4 |
35574bk1 |
35574.u |
35574bk |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.383802$ |
$912673/528$ |
$1.18336$ |
$3.79669$ |
$[1, 0, 1, -11982, 7984]$ |
\(y^2+xy+y=x^3-11982x+7984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 35574.v1 |
35574bj1 |
35574.v |
35574bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{21} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34594560$ |
$4.089828$ |
$146234339790153527/599838494072832$ |
$1.05887$ |
$6.88867$ |
$[1, 0, 1, 321873428, 5484261508394]$ |
\(y^2+xy+y=x^3+321873428x+5484261508394\) |
168.2.0.? |
$[]$ |
| 35574.w1 |
35574bh1 |
35574.w |
35574bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{11} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$1.970543$ |
$-178284948703873/1944365472$ |
$1.00435$ |
$4.70489$ |
$[1, 0, 1, -284177, -58878844]$ |
\(y^2+xy+y=x^3-284177x-58878844\) |
168.2.0.? |
$[]$ |
| 35574.x1 |
35574bi2 |
35574.x |
35574bi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{12} \cdot 7^{3} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.521072$ |
$46546832455691959/748268928$ |
$1.13125$ |
$5.59235$ |
$[1, 0, 1, -6347542, -6155845720]$ |
\(y^2+xy+y=x^3-6347542x-6155845720\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 35574.x2 |
35574bi1 |
35574.x |
35574bi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$2.174500$ |
$-10358806345399/1445216256$ |
$0.99802$ |
$4.81040$ |
$[1, 0, 1, -384662, -102329944]$ |
\(y^2+xy+y=x^3-384662x-102329944\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 35574.y1 |
35574bd2 |
35574.y |
35574bd |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$1848$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$99960$ |
$1.333424$ |
$-6329617441/279936$ |
$1.03234$ |
$3.90494$ |
$[1, 0, 1, -17064, -891530]$ |
\(y^2+xy+y=x^3-17064x-891530\) |
7.24.0.a.1, 24.2.0.b.1, 77.48.0.?, 168.48.2.?, 1848.96.2.? |
$[]$ |
| 35574.y2 |
35574bd1 |
35574.y |
35574bd |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$1848$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$14280$ |
$0.360469$ |
$-2401/6$ |
$1.11692$ |
$2.64653$ |
$[1, 0, 1, -124, 1208]$ |
\(y^2+xy+y=x^3-124x+1208\) |
7.24.0.a.2, 24.2.0.b.1, 77.48.0.?, 168.48.2.?, 1848.96.2.? |
$[]$ |
| 35574.z1 |
35574be1 |
35574.z |
35574be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2027520$ |
$2.918644$ |
$228516153239/462422016$ |
$0.99337$ |
$5.52786$ |
$[1, 0, 1, 3735146, 4390645928]$ |
\(y^2+xy+y=x^3+3735146x+4390645928\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[]$ |
| 35574.ba1 |
35574t1 |
35574.ba |
35574t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{2} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.690421322$ |
$1$ |
|
$4$ |
$80640$ |
$1.093391$ |
$18075297625/1152$ |
$1.03039$ |
$3.91178$ |
$[1, 0, 1, -17911, 921050]$ |
\(y^2+xy+y=x^3-17911x+921050\) |
8.2.0.b.1 |
$[(76, -22)]$ |
| 35574.bb1 |
35574u2 |
35574.bb |
35574u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 7^{14} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$15.02624196$ |
$1$ |
|
$0$ |
$4055040$ |
$3.235596$ |
$3648707754875/1660262688$ |
$1.02320$ |
$5.93375$ |
$[1, 0, 1, -20917636, 17021087906]$ |
\(y^2+xy+y=x^3-20917636x+17021087906\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(-3565848/67, 54868075123/67)]$ |
| 35574.bb2 |
35574u1 |
35574.bb |
35574u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{10} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$30.05248393$ |
$1$ |
|
$1$ |
$2027520$ |
$2.889023$ |
$459206250875/7375872$ |
$0.98362$ |
$5.73596$ |
$[1, 0, 1, -10482596, -12881562718]$ |
\(y^2+xy+y=x^3-10482596x-12881562718\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-95703075734902/237247, 80872265529561938949/237247)]$ |
| 35574.bc1 |
35574s2 |
35574.bc |
35574s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$17.88011705$ |
$1$ |
|
$0$ |
$997920$ |
$2.517338$ |
$-29343015625/192$ |
$1.04053$ |
$5.61606$ |
$[1, 0, 1, -6895551, -6970112558]$ |
\(y^2+xy+y=x^3-6895551x-6970112558\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[(156204751/75, 1937360367524/75)]$ |
| 35574.bc2 |
35574s1 |
35574.bc |
35574s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 7^{8} \cdot 11^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$5.960039018$ |
$1$ |
|
$4$ |
$332640$ |
$1.968033$ |
$-9625/108$ |
$0.88066$ |
$4.47905$ |
$[1, 0, 1, -47556, -18028034]$ |
\(y^2+xy+y=x^3-47556x-18028034\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[(27719, 4600959)]$ |
