| 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 |
| 80688.a1 |
80688o1 |
80688.a |
80688o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{12} \cdot 3 \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.633774$ |
$32768/123$ |
$0.85567$ |
$3.77920$ |
$[0, -1, 0, 17931, 2158653]$ |
\(y^2=x^3-x^2+17931x+2158653\) |
246.2.0.? |
$[]$ |
| 80688.b1 |
80688t1 |
80688.b |
80688t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{28} \cdot 3^{3} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$5.642425376$ |
$1$ |
|
$0$ |
$7934976$ |
$3.161015$ |
$92806423177/1769472$ |
$0.99835$ |
$5.60083$ |
$[0, -1, 0, -30164424, -62696930832]$ |
\(y^2=x^3-x^2-30164424x-62696930832\) |
12.2.0.a.1 |
$[(-47623/4, 1702853/4)]$ |
| 80688.c1 |
80688s1 |
80688.c |
80688s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.262246630$ |
$1$ |
|
$2$ |
$619920$ |
$1.852880$ |
$-335872/3$ |
$0.87598$ |
$4.24784$ |
$[0, -1, 0, -183789, 30621345]$ |
\(y^2=x^3-x^2-183789x+30621345\) |
6.2.0.a.1 |
$[(5, 5450)]$ |
| 80688.d1 |
80688d1 |
80688.d |
80688d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 41^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$27.39185888$ |
$1$ |
|
$0$ |
$1612800$ |
$2.403885$ |
$-21764027392/16747803$ |
$0.95864$ |
$4.64456$ |
$[0, -1, 0, -620849, -287188515]$ |
\(y^2=x^3-x^2-620849x-287188515\) |
246.2.0.? |
$[(21796349164108/144413, 43063686335909848843/144413)]$ |
| 80688.e1 |
80688e6 |
80688.e |
80688e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$1968$ |
$192$ |
$1$ |
$2.177945718$ |
$1$ |
|
$3$ |
$552960$ |
$1.904581$ |
$3065617154/9$ |
$1.21059$ |
$4.58028$ |
$[0, -1, 0, -646064, 200091360]$ |
\(y^2=x^3-x^2-646064x+200091360\) |
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, $\ldots$ |
$[(1490, 50430)]$ |
| 80688.e2 |
80688e4 |
80688.e |
80688e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{10} \cdot 3 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$1968$ |
$192$ |
$1$ |
$17.42356574$ |
$1$ |
|
$1$ |
$276480$ |
$1.558008$ |
$28756228/3$ |
$1.05617$ |
$4.10567$ |
$[0, -1, 0, -108144, -13651152]$ |
\(y^2=x^3-x^2-108144x-13651152\) |
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, $\ldots$ |
$[(-171168391/949, 28004946280/949)]$ |
| 80688.e3 |
80688e3 |
80688.e |
80688e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$984$ |
$192$ |
$1$ |
$4.355891436$ |
$1$ |
|
$5$ |
$276480$ |
$1.558008$ |
$1556068/81$ |
$1.03212$ |
$3.84752$ |
$[0, -1, 0, -40904, 3051264]$ |
\(y^2=x^3-x^2-40904x+3051264\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 164.24.0.?, $\ldots$ |
$[(-32, 2080)]$ |
| 80688.e4 |
80688e2 |
80688.e |
80688e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$984$ |
$192$ |
$1$ |
$8.711782873$ |
$1$ |
|
$3$ |
$138240$ |
$1.211433$ |
$35152/9$ |
$0.97255$ |
$3.38935$ |
$[0, -1, 0, -7284, -176256]$ |
\(y^2=x^3-x^2-7284x-176256\) |
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, $\ldots$ |
$[(-5092/13, 268640/13)]$ |
| 80688.e5 |
80688e1 |
80688.e |
80688e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{4} \cdot 3 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$1968$ |
$192$ |
$1$ |
$17.42356574$ |
$1$ |
|
$1$ |
$69120$ |
$0.864861$ |
$2048/3$ |
$1.17572$ |
$2.93005$ |
$[0, -1, 0, 1121, -18242]$ |
\(y^2=x^3-x^2+1121x-18242\) |
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, $\ldots$ |
$[(35357214/299, 210696927440/299)]$ |
| 80688.e6 |
80688e5 |
80688.e |
80688e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$1968$ |
$192$ |
$1$ |
$2.177945718$ |
$1$ |
|
$3$ |
$552960$ |
$1.904581$ |
$207646/6561$ |
$1.15980$ |
$4.08300$ |
$[0, -1, 0, 26336, 12034528]$ |
\(y^2=x^3-x^2+26336x+12034528\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 164.12.0.?, $\ldots$ |
$[(-27, 3362)]$ |
| 80688.f1 |
80688n1 |
80688.f |
80688n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 41^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$2.408070$ |
$32553430057/212544$ |
$0.94292$ |
$4.85074$ |
$[0, -1, 0, -1789144, -915312656]$ |
\(y^2=x^3-x^2-1789144x-915312656\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[]$ |
| 80688.f2 |
80688n2 |
80688.f |
80688n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3870720$ |
$2.754642$ |
$-2062933417/88232328$ |
$1.00890$ |
$4.98859$ |
$[0, -1, 0, -713304, -2006644752]$ |
\(y^2=x^3-x^2-713304x-2006644752\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[]$ |
| 80688.g1 |
80688m1 |
80688.g |
80688m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{24} \cdot 3^{11} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$532224$ |
$1.918694$ |
$549464024729857/725594112$ |
$1.04271$ |
$4.39754$ |
$[0, -1, 0, -324624, -71000640]$ |
\(y^2=x^3-x^2-324624x-71000640\) |
12.2.0.a.1 |
$[]$ |
| 80688.h1 |
80688u1 |
80688.h |
80688u |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 41^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$2.749700894$ |
$1$ |
|
$2$ |
$120960$ |
$0.931748$ |
$59090512/27$ |
$0.96744$ |
$3.38935$ |
$[0, -1, 0, -7284, -236772]$ |
\(y^2=x^3-x^2-7284x-236772\) |
12.2.0.a.1 |
$[(137, 1148)]$ |
| 80688.i1 |
80688l1 |
80688.i |
80688l |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 41^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2361600$ |
$2.783615$ |
$-9129329/864$ |
$0.94721$ |
$5.12627$ |
$[0, -1, 0, -4801496, -4366607376]$ |
\(y^2=x^3-x^2-4801496x-4366607376\) |
5.6.0.a.1, 120.12.0.?, 205.12.0.?, 820.24.0.?, 984.2.0.?, $\ldots$ |
$[]$ |
| 80688.i2 |
80688l2 |
80688.i |
80688l |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{13} \cdot 3^{15} \cdot 41^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11808000$ |
$3.588333$ |
$19902511/28697814$ |
$1.14205$ |
$5.87401$ |
$[0, -1, 0, 6225864, 298400588784]$ |
\(y^2=x^3-x^2+6225864x+298400588784\) |
5.6.0.a.1, 120.12.0.?, 205.12.0.?, 820.24.0.?, 984.2.0.?, $\ldots$ |
$[]$ |
| 80688.j1 |
80688a1 |
80688.j |
80688a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$5.270487727$ |
$1$ |
|
$0$ |
$1451520$ |
$2.309517$ |
$334568302/807003$ |
$0.93145$ |
$4.48628$ |
$[0, -1, 0, 308744, -117631088]$ |
\(y^2=x^3-x^2+308744x-117631088\) |
984.2.0.? |
$[(23824/3, 3745268/3)]$ |
| 80688.k1 |
80688q2 |
80688.k |
80688q |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$15.55901848$ |
$1$ |
|
$0$ |
$1983744$ |
$2.464722$ |
$31899394000/3$ |
$0.96841$ |
$5.26091$ |
$[0, -1, 0, -8385388, 9348947308]$ |
\(y^2=x^3-x^2-8385388x+9348947308\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.b.1.3 |
$[(69494349/203, 8415699970/203)]$ |
| 80688.k2 |
80688q1 |
80688.k |
80688q |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$5.186339496$ |
$1$ |
|
$0$ |
$661248$ |
$1.915417$ |
$82000/27$ |
$0.77902$ |
$4.12169$ |
$[0, -1, 0, -114868, 9876124]$ |
\(y^2=x^3-x^2-114868x+9876124\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.b.1.1 |
$[(21309/7, 2222282/7)]$ |
| 80688.l1 |
80688h1 |
80688.l |
80688h |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3 \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.455229$ |
$-1024000/123$ |
$0.81905$ |
$3.70448$ |
$[0, -1, 0, -22413, -1411791]$ |
\(y^2=x^3-x^2-22413x-1411791\) |
246.2.0.? |
$[]$ |
| 80688.m1 |
80688i1 |
80688.m |
80688i |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$0.702635$ |
$11259625/3888$ |
$0.93616$ |
$2.83065$ |
$[0, -1, 0, -888, 6768]$ |
\(y^2=x^3-x^2-888x+6768\) |
12.2.0.a.1 |
$[]$ |
| 80688.n1 |
80688j1 |
80688.n |
80688j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90720$ |
$1.052639$ |
$-2643729241/124416$ |
$0.97264$ |
$3.32071$ |
$[0, -1, 0, -5480, 164208]$ |
\(y^2=x^3-x^2-5480x+164208\) |
24.2.0.b.1 |
$[]$ |
| 80688.o1 |
80688k1 |
80688.o |
80688k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3386880$ |
$2.646885$ |
$-2177286259681/717336$ |
$0.97361$ |
$5.22279$ |
$[0, -1, 0, -7262480, 7537696704]$ |
\(y^2=x^3-x^2-7262480x+7537696704\) |
984.2.0.? |
$[]$ |
| 80688.p1 |
80688b2 |
80688.p |
80688b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 41^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$328$ |
$12$ |
$0$ |
$13.75859354$ |
$1$ |
|
$1$ |
$2728960$ |
$2.587357$ |
$5142706/81$ |
$0.92628$ |
$5.00072$ |
$[0, -1, 0, -3147392, 2120788512]$ |
\(y^2=x^3-x^2-3147392x+2120788512\) |
2.3.0.a.1, 8.6.0.f.1, 164.6.0.?, 328.12.0.? |
$[(2843921/25, 4474099656/25)]$ |
| 80688.p2 |
80688b1 |
80688.p |
80688b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 41^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$328$ |
$12$ |
$0$ |
$6.879296772$ |
$1$ |
|
$3$ |
$1364480$ |
$2.240784$ |
$19652/9$ |
$0.85441$ |
$4.44663$ |
$[0, -1, 0, -390552, -42779520]$ |
\(y^2=x^3-x^2-390552x-42779520\) |
2.3.0.a.1, 8.6.0.f.1, 82.6.0.?, 328.12.0.? |
$[(4440, 292800)]$ |
| 80688.q1 |
80688r1 |
80688.q |
80688r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{12} \cdot 3 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$11.39622216$ |
$1$ |
|
$0$ |
$881664$ |
$2.063164$ |
$201433/3$ |
$0.84625$ |
$4.44663$ |
$[0, -1, 0, -390552, 92857008]$ |
\(y^2=x^3-x^2-390552x+92857008\) |
12.2.0.a.1 |
$[(65801/16, 12549349/16)]$ |
| 80688.r1 |
80688c1 |
80688.r |
80688c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$9.910472070$ |
$1$ |
|
$0$ |
$967680$ |
$2.046352$ |
$-83131122688/1107$ |
$0.95090$ |
$4.68833$ |
$[0, -1, 0, -970497, 368320797]$ |
\(y^2=x^3-x^2-970497x+368320797\) |
246.2.0.? |
$[(842972/47, 758670601/47)]$ |
| 80688.s1 |
80688p1 |
80688.s |
80688p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{23} \cdot 3 \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1774080$ |
$2.362343$ |
$-7916293657/251904$ |
$0.93151$ |
$4.73033$ |
$[0, -1, 0, -1116744, 466926576]$ |
\(y^2=x^3-x^2-1116744x+466926576\) |
984.2.0.? |
$[]$ |
| 80688.t1 |
80688v1 |
80688.t |
80688v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3^{25} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$211.4482262$ |
$1$ |
|
$0$ |
$49593600$ |
$3.918121$ |
$1602912804305104/847288609443$ |
$1.07786$ |
$6.21900$ |
$[0, -1, 0, -309432316, 616603607788]$ |
\(y^2=x^3-x^2-309432316x+616603607788\) |
12.2.0.a.1 |
$[(57234362824098710838815405270594814923607307126225974267123914823907790926805036061294004317/40132469593924316305493412700107362478600731, 379626237368576396177884654565318925731575246455973490936423289786531233449857240921344657852909920827664477223242007679658398290854188550/40132469593924316305493412700107362478600731)]$ |
| 80688.u1 |
80688bi1 |
80688.u |
80688bi |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2460$ |
$48$ |
$1$ |
$4.473805511$ |
$1$ |
|
$2$ |
$1344000$ |
$2.063190$ |
$-122023936/9963$ |
$0.99771$ |
$4.36798$ |
$[0, 1, 0, -277925, -60334701]$ |
\(y^2=x^3+x^2-277925x-60334701\) |
5.12.0.a.1, 60.24.0-5.a.1.4, 246.2.0.?, 820.24.0.?, 1230.24.1.?, $\ldots$ |
$[(8350, 761493)]$ |
| 80688.u2 |
80688bi2 |
80688.u |
80688bi |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{12} \cdot 3 \cdot 41^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2460$ |
$48$ |
$1$ |
$22.36902755$ |
$1$ |
|
$0$ |
$6720000$ |
$2.867908$ |
$841232384/347568603$ |
$1.09016$ |
$5.10862$ |
$[0, 1, 0, 528955, 3953893299]$ |
\(y^2=x^3+x^2+528955x+3953893299\) |
5.12.0.a.2, 60.24.0-5.a.2.4, 246.2.0.?, 820.24.0.?, 1230.24.1.?, $\ldots$ |
$[(188328678222/4757, 82323837027113745/4757)]$ |
| 80688.v1 |
80688bf1 |
80688.v |
80688bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$0.343448829$ |
$1$ |
|
$6$ |
$1451520$ |
$2.131283$ |
$524288/807003$ |
$1.21094$ |
$4.32648$ |
$[0, 1, 0, 17931, -47646513]$ |
\(y^2=x^3+x^2+17931x-47646513\) |
246.2.0.? |
$[(519, 10086)]$ |
| 80688.w1 |
80688be1 |
80688.w |
80688be |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 41^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$27.81960492$ |
$1$ |
|
$0$ |
$4959360$ |
$2.788536$ |
$59090512/27$ |
$0.96744$ |
$5.36145$ |
$[0, 1, 0, -12244964, -16489989960]$ |
\(y^2=x^3+x^2-12244964x-16489989960\) |
12.2.0.a.1 |
$[(1789054602403/18913, 1472986178638022364/18913)]$ |
| 80688.x1 |
80688bl1 |
80688.x |
80688bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{24} \cdot 3^{11} \cdot 41^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21821184$ |
$3.775482$ |
$549464024729857/725594112$ |
$1.04271$ |
$6.36963$ |
$[0, 1, 0, -545693504, -4901074815948]$ |
\(y^2=x^3+x^2-545693504x-4901074815948\) |
12.2.0.a.1 |
$[]$ |
| 80688.y1 |
80688ba1 |
80688.y |
80688ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.989071769$ |
$1$ |
|
$2$ |
$15120$ |
$-0.003906$ |
$-335872/3$ |
$0.87598$ |
$2.27574$ |
$[0, 1, 0, -109, 407]$ |
\(y^2=x^3+x^2-109x+407\) |
6.2.0.a.1 |
$[(7, 6)]$ |
| 80688.z1 |
80688bb1 |
80688.z |
80688bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{28} \cdot 3^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$3.375422801$ |
$1$ |
|
$2$ |
$193536$ |
$1.304230$ |
$92806423177/1769472$ |
$0.99835$ |
$3.62873$ |
$[0, 1, 0, -17944, -915820]$ |
\(y^2=x^3+x^2-17944x-915820\) |
12.2.0.a.1 |
$[(-73, 102)]$ |
| 80688.ba1 |
80688bc1 |
80688.ba |
80688bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{26} \cdot 3^{12} \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$5.843482393$ |
$1$ |
|
$5$ |
$67737600$ |
$4.264313$ |
$10341755683137709164937/356992303104$ |
$1.06164$ |
$7.19483$ |
$[0, 1, 0, -12208000824, 519172310165076]$ |
\(y^2=x^3+x^2-12208000824x+519172310165076\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[(63780, 2766)]$ |
| 80688.ba2 |
80688bc2 |
80688.ba |
80688bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{19} \cdot 3^{24} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$2.921741196$ |
$1$ |
|
$7$ |
$135475200$ |
$4.610886$ |
$-10298071306410575356297/60769798505543808$ |
$1.06173$ |
$7.19535$ |
$[0, 1, 0, -12190787384, 520709394617940]$ |
\(y^2=x^3+x^2-12190787384x+520709394617940\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[(-122522, 13232832)]$ |
| 80688.bb1 |
80688bd4 |
80688.bb |
80688bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{13} \cdot 3^{8} \cdot 41^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$328$ |
$48$ |
$0$ |
$4.161090059$ |
$1$ |
|
$5$ |
$3870720$ |
$2.713074$ |
$9357915116017/538002$ |
$0.98265$ |
$5.35180$ |
$[0, 1, 0, -11807904, 15612638580]$ |
\(y^2=x^3+x^2-11807904x+15612638580\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 328.48.0.? |
$[(-30, 126360)]$ |
| 80688.bb2 |
80688bd2 |
80688.bb |
80688bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$328$ |
$48$ |
$0$ |
$8.322180118$ |
$1$ |
|
$3$ |
$1935360$ |
$2.366501$ |
$2703045457/544644$ |
$0.99714$ |
$4.63049$ |
$[0, 1, 0, -780544, 214033076]$ |
\(y^2=x^3+x^2-780544x+214033076\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 164.24.0.?, 328.48.0.? |
$[(-614/5, 1908816/5)]$ |
| 80688.bb3 |
80688bd1 |
80688.bb |
80688bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$328$ |
$48$ |
$0$ |
$4.161090059$ |
$1$ |
|
$1$ |
$967680$ |
$2.019928$ |
$81182737/5904$ |
$0.95826$ |
$4.32023$ |
$[0, 1, 0, -242624, -43092684]$ |
\(y^2=x^3+x^2-242624x-43092684\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 82.6.0.?, 164.24.0.?, $\ldots$ |
$[(10780/3, 1005238/3)]$ |
| 80688.bb4 |
80688bd3 |
80688.bb |
80688bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 41^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$328$ |
$48$ |
$0$ |
$16.64436023$ |
$1$ |
|
$1$ |
$3870720$ |
$2.713074$ |
$25076571983/50863698$ |
$0.97224$ |
$4.90892$ |
$[0, 1, 0, 1640096, 1280082932]$ |
\(y^2=x^3+x^2+1640096x+1280082932\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 164.12.0.?, 328.48.0.? |
$[(18586444/115, 121317218022/115)]$ |
| 80688.bc1 |
80688y1 |
80688.bc |
80688y |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$2.052366060$ |
$1$ |
|
$2$ |
$57600$ |
$0.926829$ |
$-9129329/864$ |
$0.94721$ |
$3.15417$ |
$[0, 1, 0, -2856, -64332]$ |
\(y^2=x^3+x^2-2856x-64332\) |
5.6.0.a.1, 120.12.0.?, 205.12.0.?, 820.24.0.?, 984.2.0.?, $\ldots$ |
$[(68, 246)]$ |
| 80688.bc2 |
80688y2 |
80688.bc |
80688y |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{13} \cdot 3^{15} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$4920$ |
$48$ |
$1$ |
$0.410473212$ |
$1$ |
|
$4$ |
$288000$ |
$1.731548$ |
$19902511/28697814$ |
$1.14205$ |
$3.90191$ |
$[0, 1, 0, 3704, 4330868]$ |
\(y^2=x^3+x^2+3704x+4330868\) |
5.6.0.a.1, 120.12.0.?, 205.12.0.?, 820.24.0.?, 984.2.0.?, $\ldots$ |
$[(68, 2214)]$ |
| 80688.bd1 |
80688bj1 |
80688.bd |
80688bj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 41^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3306240$ |
$2.559422$ |
$11259625/3888$ |
$0.93616$ |
$4.80275$ |
$[0, 1, 0, -1493288, 445553844]$ |
\(y^2=x^3+x^2-1493288x+445553844\) |
12.2.0.a.1 |
$[]$ |
| 80688.be1 |
80688f1 |
80688.be |
80688f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.584324$ |
$128000/1107$ |
$0.84243$ |
$3.73696$ |
$[0, 1, 0, 11207, -1701421]$ |
\(y^2=x^3+x^2+11207x-1701421\) |
246.2.0.? |
$[]$ |
| 80688.bf1 |
80688w2 |
80688.bf |
80688w |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$4.430624965$ |
$1$ |
|
$0$ |
$48384$ |
$0.607936$ |
$31899394000/3$ |
$0.96841$ |
$3.28882$ |
$[0, 1, 0, -4988, 133944]$ |
\(y^2=x^3+x^2-4988x+133944\) |
3.4.0.a.1, 12.8.0.b.1, 246.8.0.?, 492.16.0.? |
$[(1983/7, 90/7)]$ |
| 80688.bf2 |
80688w1 |
80688.bf |
80688w |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1.476874988$ |
$1$ |
|
$2$ |
$16128$ |
$0.058630$ |
$82000/27$ |
$0.77902$ |
$2.14959$ |
$[0, 1, 0, -68, 120]$ |
\(y^2=x^3+x^2-68x+120\) |
3.4.0.a.1, 12.8.0.b.1, 246.8.0.?, 492.16.0.? |
$[(7, 6)]$ |
| 80688.bg1 |
80688x2 |
80688.bg |
80688x |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{17} \cdot 3 \cdot 41^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4920$ |
$48$ |
$1$ |
$19.52494861$ |
$1$ |
|
$0$ |
$60480000$ |
$4.245010$ |
$-21525971829968662032241/11122195296$ |
$1.06339$ |
$7.25971$ |
$[0, 1, 0, -15587173920, 749024758284276]$ |
\(y^2=x^3+x^2-15587173920x+749024758284276\) |
5.12.0.a.2, 120.24.0.?, 820.24.0.?, 984.2.0.?, 4920.48.1.? |
$[(121145392906/285, 42022603385497504/285)]$ |
| 80688.bg2 |
80688x1 |
80688.bg |
80688x |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( - 2^{37} \cdot 3^{5} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$4920$ |
$48$ |
$1$ |
$3.904989723$ |
$1$ |
|
$2$ |
$12096000$ |
$3.440292$ |
$-592915705201/334302806016$ |
$1.07782$ |
$5.71679$ |
$[0, 1, 0, -4707360, 122765657076]$ |
\(y^2=x^3+x^2-4707360x+122765657076\) |
5.12.0.a.1, 120.24.0.?, 820.24.0.?, 984.2.0.?, 4920.48.1.? |
$[(1489434, 1817739264)]$ |
