| 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 |
| 17328.a1 |
17328y1 |
17328.a |
17328y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.818114027$ |
$1$ |
|
$2$ |
$31104$ |
$0.924207$ |
$205083359/314928$ |
$1.00799$ |
$3.46805$ |
$[0, -1, 0, 1400, -26384]$ |
\(y^2=x^3-x^2+1400x-26384\) |
6.2.0.a.1 |
$[(20, 96)]$ |
| 17328.b1 |
17328w1 |
17328.b |
17328w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.347706548$ |
$1$ |
|
$4$ |
$34560$ |
$1.043114$ |
$8192/171$ |
$0.94370$ |
$3.66596$ |
$[0, -1, 0, 963, 67761]$ |
\(y^2=x^3-x^2+963x+67761\) |
38.2.0.a.1 |
$[(165, 2166)]$ |
| 17328.c1 |
17328x1 |
17328.c |
17328x |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.520816842$ |
$1$ |
|
$2$ |
$57600$ |
$1.328817$ |
$-1404928/171$ |
$0.86512$ |
$4.13222$ |
$[0, -1, 0, -13477, 667021]$ |
\(y^2=x^3-x^2-13477x+667021\) |
38.2.0.a.1 |
$[(-44, 1083)]$ |
| 17328.d1 |
17328f5 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.520014$ |
$3065617154/9$ |
$1.21059$ |
$4.82934$ |
$[0, -1, 0, -138744, -19845360]$ |
\(y^2=x^3-x^2-138744x-19845360\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[]$ |
| 17328.d2 |
17328f4 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.173441$ |
$28756228/3$ |
$1.05617$ |
$4.27993$ |
$[0, -1, 0, -23224, 1369888]$ |
\(y^2=x^3-x^2-23224x+1369888\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[]$ |
| 17328.d3 |
17328f3 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$27648$ |
$1.173441$ |
$1556068/81$ |
$1.03212$ |
$3.98109$ |
$[0, -1, 0, -8784, -299376]$ |
\(y^2=x^3-x^2-8784x-299376\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 76.24.0.?, $\ldots$ |
$[]$ |
| 17328.d4 |
17328f2 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$13824$ |
$0.826867$ |
$35152/9$ |
$0.97255$ |
$3.45071$ |
$[0, -1, 0, -1564, 18304]$ |
\(y^2=x^3-x^2-1564x+18304\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[]$ |
| 17328.d5 |
17328f1 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.480294$ |
$2048/3$ |
$1.17572$ |
$2.91903$ |
$[0, -1, 0, 241, 1698]$ |
\(y^2=x^3-x^2+241x+1698\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 17328.d6 |
17328f6 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.520014$ |
$207646/6561$ |
$1.15980$ |
$4.25369$ |
$[0, -1, 0, 5656, -1200432]$ |
\(y^2=x^3-x^2+5656x-1200432\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 17328.e1 |
17328c2 |
17328.e |
17328c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$4.359760088$ |
$1$ |
|
$3$ |
$121600$ |
$1.799314$ |
$1203052/9$ |
$1.19561$ |
$4.85978$ |
$[0, -1, 0, -153184, 22977904]$ |
\(y^2=x^3-x^2-153184x+22977904\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(94, 3066)]$ |
| 17328.e2 |
17328c1 |
17328.e |
17328c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3 \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$8.719520176$ |
$1$ |
|
$1$ |
$60800$ |
$1.452740$ |
$5488/3$ |
$0.87364$ |
$4.16548$ |
$[0, -1, 0, -16004, -178080]$ |
\(y^2=x^3-x^2-16004x-178080\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(-551/7, 6278/7)]$ |
| 17328.f1 |
17328g1 |
17328.f |
17328g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.098933$ |
$-104272/243$ |
$0.87512$ |
$2.52084$ |
$[0, -1, 0, -44, -240]$ |
\(y^2=x^3-x^2-44x-240\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[]$ |
| 17328.g1 |
17328p1 |
17328.g |
17328p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$76$ |
$8$ |
$0$ |
$0.433598740$ |
$1$ |
|
$12$ |
$3840$ |
$0.257912$ |
$-65536/81$ |
$1.10590$ |
$2.72659$ |
$[0, -1, 0, -101, 729]$ |
\(y^2=x^3-x^2-101x+729\) |
4.4.0.a.1, 38.2.0.a.1, 76.8.0.? |
$[(13, 38), (5, 18)]$ |
| 17328.h1 |
17328t1 |
17328.h |
17328t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{5} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$4.195733449$ |
$1$ |
|
$3$ |
$172800$ |
$1.984676$ |
$96386901625/18468$ |
$0.97983$ |
$5.25365$ |
$[0, -1, 0, -551728, -157527872]$ |
\(y^2=x^3-x^2-551728x-157527872\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(14472, 1738576)]$ |
| 17328.h2 |
17328t2 |
17328.h |
17328t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$8.391466898$ |
$1$ |
|
$1$ |
$345600$ |
$2.331249$ |
$-69173457625/42633378$ |
$0.99175$ |
$5.29395$ |
$[0, -1, 0, -493968, -191860416]$ |
\(y^2=x^3-x^2-493968x-191860416\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(709090/7, 596362614/7)]$ |
| 17328.i1 |
17328a1 |
17328.i |
17328a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.683793593$ |
$1$ |
|
$2$ |
$32832$ |
$1.311680$ |
$-4864000/27$ |
$0.93971$ |
$4.27609$ |
$[0, -1, 0, -22863, 1344618]$ |
\(y^2=x^3-x^2-22863x+1344618\) |
6.2.0.a.1 |
$[(134, 818)]$ |
| 17328.j1 |
17328s2 |
17328.j |
17328s |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1596$ |
$96$ |
$2$ |
$3.966189854$ |
$1$ |
|
$2$ |
$16128$ |
$0.934402$ |
$-89289015625/2187$ |
$1.08884$ |
$4.03909$ |
$[0, -1, 0, -10608, -417024]$ |
\(y^2=x^3-x^2-10608x-417024\) |
6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.24.0.?, 532.48.0.?, $\ldots$ |
$[(152, 1208)]$ |
| 17328.j2 |
17328s1 |
17328.j |
17328s |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1596$ |
$96$ |
$2$ |
$0.566598550$ |
$1$ |
|
$4$ |
$2304$ |
$-0.038554$ |
$2375/3$ |
$0.82914$ |
$2.26916$ |
$[0, -1, 0, 32, 64]$ |
\(y^2=x^3-x^2+32x+64\) |
6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.24.0.?, 532.48.0.?, $\ldots$ |
$[(0, 8)]$ |
| 17328.k1 |
17328r1 |
17328.k |
17328r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.262921894$ |
$1$ |
|
$2$ |
$656640$ |
$2.823822$ |
$-1100553625/62208$ |
$1.03685$ |
$6.01168$ |
$[0, -1, 0, -6298848, 6377045760]$ |
\(y^2=x^3-x^2-6298848x+6377045760\) |
6.2.0.a.1 |
$[(22544, 3364736)]$ |
| 17328.l1 |
17328e1 |
17328.l |
17328e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.541025$ |
$70575104/61731$ |
$0.95058$ |
$4.22988$ |
$[0, -1, 0, 19735, 756549]$ |
\(y^2=x^3-x^2+19735x+756549\) |
38.2.0.a.1 |
$[]$ |
| 17328.m1 |
17328q2 |
17328.m |
17328q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2042880$ |
$3.118839$ |
$248028267187/76527504$ |
$1.06020$ |
$6.25554$ |
$[0, -1, 0, -14365032, 14323060080]$ |
\(y^2=x^3-x^2-14365032x+14323060080\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 17328.m2 |
17328q1 |
17328.m |
17328q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1021440$ |
$2.772266$ |
$14580432307/559872$ |
$1.02951$ |
$5.96518$ |
$[0, -1, 0, -5585512, -4907600528]$ |
\(y^2=x^3-x^2-5585512x-4907600528\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
| 17328.n1 |
17328u2 |
17328.n |
17328u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$4.163568094$ |
$1$ |
|
$1$ |
$51840$ |
$1.494776$ |
$340062928/13851$ |
$0.89938$ |
$4.39099$ |
$[0, -1, 0, -33332, 2269500]$ |
\(y^2=x^3-x^2-33332x+2269500\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(13181/2, 1510785/2)]$ |
| 17328.n2 |
17328u1 |
17328.n |
17328u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$8.327136189$ |
$1$ |
|
$1$ |
$25920$ |
$1.148201$ |
$131072/9747$ |
$1.13743$ |
$3.79821$ |
$[0, -1, 0, 963, 129492]$ |
\(y^2=x^3-x^2+963x+129492\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(-34684/31, 6418580/31)]$ |
| 17328.o1 |
17328v3 |
17328.o |
17328v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{17} \cdot 3^{3} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$78.49149013$ |
$1$ |
|
$1$ |
$2073600$ |
$3.266808$ |
$74220219816682217473/16416$ |
$1.10905$ |
$7.35014$ |
$[0, -1, 0, -505700472, -4376948403600]$ |
\(y^2=x^3-x^2-505700472x-4376948403600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$ |
$[(315160151366864644209233534289236194/3406359259652775, 54834231450575148095476362561651647559416643323579378/3406359259652775)]$ |
| 17328.o2 |
17328v2 |
17328.o |
17328v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{6} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$39.24574506$ |
$1$ |
|
$3$ |
$1036800$ |
$2.920231$ |
$18120364883707393/269485056$ |
$1.09068$ |
$6.49792$ |
$[0, -1, 0, -31606392, -68381404560]$ |
\(y^2=x^3-x^2-31606392x-68381404560\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 76.12.0.?, $\ldots$ |
$[(-1671490029055814966/22688291, 10786173557606052903245850/22688291)]$ |
| 17328.o3 |
17328v4 |
17328.o |
17328v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{17} \cdot 3^{12} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$19.62287253$ |
$1$ |
|
$1$ |
$2073600$ |
$3.266808$ |
$-16576888679672833/2216253521952$ |
$1.04427$ |
$6.51009$ |
$[0, -1, 0, -30682232, -72568958352]$ |
\(y^2=x^3-x^2-30682232x-72568958352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 76.12.0.?, $\ldots$ |
$[(1074572953084/4575, 1107105849160963552/4575)]$ |
| 17328.o4 |
17328v1 |
17328.o |
17328v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{32} \cdot 3^{3} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$19.62287253$ |
$1$ |
|
$1$ |
$518400$ |
$2.573658$ |
$4824238966273/537919488$ |
$1.00823$ |
$5.65457$ |
$[0, -1, 0, -2033272, -1002007952]$ |
\(y^2=x^3-x^2-2033272x-1002007952\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$ |
$[(-11642701446/3457, 301519895554862/3457)]$ |
| 17328.p1 |
17328b1 |
17328.p |
17328b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.481957344$ |
$1$ |
|
$0$ |
$32832$ |
$1.157221$ |
$38912/27$ |
$0.92397$ |
$3.78042$ |
$[0, -1, 0, 4573, -54618]$ |
\(y^2=x^3-x^2+4573x-54618\) |
6.2.0.a.1 |
$[(2062/7, 157396/7)]$ |
| 17328.q1 |
17328d1 |
17328.q |
17328d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{16} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$76$ |
$8$ |
$0$ |
$5.012179859$ |
$1$ |
|
$0$ |
$51200$ |
$1.345346$ |
$-4434684928/43046721$ |
$1.11199$ |
$4.04391$ |
$[0, -1, 0, -4129, -429203]$ |
\(y^2=x^3-x^2-4129x-429203\) |
4.4.0.a.1, 38.2.0.a.1, 76.8.0.? |
$[(47869/10, 10346697/10)]$ |
| 17328.r1 |
17328h1 |
17328.r |
17328h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$57600$ |
$1.117296$ |
$470596/57$ |
$0.94139$ |
$3.85856$ |
$[0, -1, 0, -5896, 156928]$ |
\(y^2=x^3-x^2-5896x+156928\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[]$ |
| 17328.r2 |
17328h2 |
17328.r |
17328h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$115200$ |
$1.463869$ |
$715822/3249$ |
$0.90786$ |
$4.16961$ |
$[0, -1, 0, 8544, 792288]$ |
\(y^2=x^3-x^2+8544x+792288\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[]$ |
| 17328.s1 |
17328bd1 |
17328.s |
17328bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.288246821$ |
$1$ |
|
$6$ |
$590976$ |
$2.396427$ |
$205083359/314928$ |
$1.00799$ |
$5.27815$ |
$[0, 1, 0, 505280, 177935924]$ |
\(y^2=x^3+x^2+505280x+177935924\) |
6.2.0.a.1 |
$[(842, 34656)]$ |
| 17328.t1 |
17328o1 |
17328.t |
17328o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.424534891$ |
$1$ |
|
$2$ |
$69120$ |
$1.455542$ |
$-81415168/13851$ |
$0.91437$ |
$4.27093$ |
$[0, 1, 0, -20697, 1296819]$ |
\(y^2=x^3+x^2-20697x+1296819\) |
38.2.0.a.1 |
$[(6, 1083)]$ |
| 17328.u1 |
17328bg3 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 19^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$138240$ |
$1.920359$ |
$115714886617/1539$ |
$0.98111$ |
$5.27237$ |
$[0, 1, 0, -586384, 172633556]$ |
\(y^2=x^3+x^2-586384x+172633556\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 76.24.0.?, 456.48.0.? |
$[]$ |
| 17328.u2 |
17328bg2 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$69120$ |
$1.573784$ |
$30664297/3249$ |
$0.90727$ |
$4.42855$ |
$[0, 1, 0, -37664, 2530356]$ |
\(y^2=x^3+x^2-37664x+2530356\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.? |
$[]$ |
| 17328.u3 |
17328bg1 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{12} \cdot 3 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$1.227211$ |
$389017/57$ |
$0.96267$ |
$3.98109$ |
$[0, 1, 0, -8784, -276780]$ |
\(y^2=x^3+x^2-8784x-276780\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 114.6.0.?, 152.24.0.?, $\ldots$ |
$[]$ |
| 17328.u4 |
17328bg4 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.920359$ |
$67419143/390963$ |
$0.97474$ |
$4.73463$ |
$[0, 1, 0, 48976, 12545940]$ |
\(y^2=x^3+x^2+48976x+12545940\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 17328.v1 |
17328i2 |
17328.v |
17328i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6400$ |
$0.327095$ |
$1203052/9$ |
$1.19561$ |
$3.04968$ |
$[0, 1, 0, -424, -3484]$ |
\(y^2=x^3+x^2-424x-3484\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 17328.v2 |
17328i1 |
17328.v |
17328i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3 \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3200$ |
$-0.019479$ |
$5488/3$ |
$0.87364$ |
$2.35539$ |
$[0, 1, 0, -44, 12]$ |
\(y^2=x^3+x^2-44x+12\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
| 17328.w1 |
17328j1 |
17328.w |
17328j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$109440$ |
$1.571154$ |
$-104272/243$ |
$0.87512$ |
$4.33094$ |
$[0, 1, 0, -16004, 1741932]$ |
\(y^2=x^3+x^2-16004x+1741932\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[]$ |
| 17328.x1 |
17328bb1 |
17328.x |
17328bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$76$ |
$8$ |
$0$ |
$2.081242215$ |
$1$ |
|
$2$ |
$72960$ |
$1.730131$ |
$-65536/81$ |
$1.10590$ |
$4.53668$ |
$[0, 1, 0, -36581, -4780977]$ |
\(y^2=x^3+x^2-36581x-4780977\) |
4.4.0.a.1, 38.2.0.a.1, 76.8.0.? |
$[(1203, 41154)]$ |
| 17328.y1 |
17328l1 |
17328.y |
17328l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.096836760$ |
$1$ |
|
$2$ |
$1728$ |
$-0.160540$ |
$-4864000/27$ |
$0.93971$ |
$2.46600$ |
$[0, 1, 0, -63, -216]$ |
\(y^2=x^3+x^2-63x-216\) |
6.2.0.a.1 |
$[(12, 30)]$ |
| 17328.z1 |
17328z1 |
17328.z |
17328z |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.436047817$ |
$1$ |
|
$4$ |
$34560$ |
$1.351603$ |
$-1100553625/62208$ |
$1.03685$ |
$4.20158$ |
$[0, 1, 0, -17448, -935244]$ |
\(y^2=x^3+x^2-17448x-935244\) |
6.2.0.a.1 |
$[(174, 1152)]$ |
| 17328.ba1 |
17328ba2 |
17328.ba |
17328ba |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1596$ |
$96$ |
$2$ |
$0.247429248$ |
$1$ |
|
$6$ |
$306432$ |
$2.406620$ |
$-89289015625/2187$ |
$1.08884$ |
$5.84918$ |
$[0, 1, 0, -3829608, 2883345012]$ |
\(y^2=x^3+x^2-3829608x+2883345012\) |
6.2.0.a.1, 7.8.0.a.1, 28.16.0-7.a.1.2, 42.16.0.a.1, 84.32.0.?, $\ldots$ |
$[(2286, 77976)]$ |
| 17328.ba2 |
17328ba1 |
17328.ba |
17328ba |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1596$ |
$96$ |
$2$ |
$1.732004740$ |
$1$ |
|
$0$ |
$43776$ |
$1.433666$ |
$2375/3$ |
$0.82914$ |
$4.07926$ |
$[0, 1, 0, 11432, -507820]$ |
\(y^2=x^3+x^2+11432x-507820\) |
6.2.0.a.1, 7.8.0.a.1, 28.16.0-7.a.1.1, 42.16.0.a.1, 84.32.0.?, $\ldots$ |
$[(358/3, 2888/3)]$ |
| 17328.bb1 |
17328be3 |
17328.bb |
17328be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{14} \cdot 3 \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$311040$ |
$2.270870$ |
$8671983378625/82308$ |
$1.00775$ |
$5.71466$ |
$[0, 1, 0, -2472248, -1497000108]$ |
\(y^2=x^3+x^2-2472248x-1497000108\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.10, $\ldots$ |
$[]$ |
| 17328.bb2 |
17328be4 |
17328.bb |
17328be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$622080$ |
$2.617443$ |
$-8078253774625/846825858$ |
$1.01015$ |
$5.72445$ |
$[0, 1, 0, -2414488, -1570216684]$ |
\(y^2=x^3+x^2-2414488x-1570216684\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 17328.bb3 |
17328be1 |
17328.bb |
17328be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$103680$ |
$1.721563$ |
$57066625/32832$ |
$1.04766$ |
$4.49219$ |
$[0, 1, 0, -46328, 277716]$ |
\(y^2=x^3+x^2-46328x+277716\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 17328.bb4 |
17328be2 |
17328.bb |
17328be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$2.068134$ |
$3616805375/2105352$ |
$1.07346$ |
$4.91730$ |
$[0, 1, 0, 184712, 2403284]$ |
\(y^2=x^3+x^2+184712x+2403284\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.8, $\ldots$ |
$[]$ |
