| 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 |
| 16704.a1 |
16704be1 |
16704.a |
16704be |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{13} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21504$ |
$0.798146$ |
$-881395456/63423$ |
$0.89711$ |
$3.52113$ |
$[0, 0, 0, -1812, -31480]$ |
\(y^2=x^3-1812x-31480\) |
174.2.0.? |
$[ ]$ |
| 16704.b1 |
16704cc1 |
16704.b |
16704cc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1.128054246$ |
$1$ |
|
$2$ |
$9216$ |
$0.364775$ |
$6912/29$ |
$0.59389$ |
$2.82746$ |
$[0, 0, 0, 108, 1080]$ |
\(y^2=x^3+108x+1080\) |
174.2.0.? |
$[(-3, 27)]$ |
| 16704.c1 |
16704n1 |
16704.c |
16704n |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.364775$ |
$6912/29$ |
$0.59389$ |
$2.82746$ |
$[0, 0, 0, 108, -1080]$ |
\(y^2=x^3+108x-1080\) |
174.2.0.? |
$[ ]$ |
| 16704.d1 |
16704cx1 |
16704.d |
16704cx |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{13} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1.001508710$ |
$1$ |
|
$2$ |
$21504$ |
$0.798146$ |
$-881395456/63423$ |
$0.89711$ |
$3.52113$ |
$[0, 0, 0, -1812, 31480]$ |
\(y^2=x^3-1812x+31480\) |
174.2.0.? |
$[(-19, 243)]$ |
| 16704.e1 |
16704cv1 |
16704.e |
16704cv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{27} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$3.203778858$ |
$1$ |
|
$2$ |
$2365440$ |
$3.109383$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.23566$ |
$[0, 0, 0, -4437804, 16963904464]$ |
\(y^2=x^3-4437804x+16963904464\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 348.8.0.?, 696.16.0.? |
$[(650, 119808)]$ |
| 16704.e2 |
16704cv2 |
16704.e |
16704cv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{51} \cdot 3^{13} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$9.611336576$ |
$1$ |
|
$0$ |
$7096320$ |
$3.658688$ |
$36079072622241241607/458176313589497856$ |
$1.08854$ |
$6.90524$ |
$[0, 0, 0, 39652116, -439825302704]$ |
\(y^2=x^3+39652116x-439825302704\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 348.8.0.?, 696.16.0.? |
$[(106684538/23, 1102432960512/23)]$ |
| 16704.f1 |
16704m1 |
16704.f |
16704m |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.112526$ |
$9261/928$ |
$1.54708$ |
$3.76886$ |
$[0, 0, 0, 756, -104976]$ |
\(y^2=x^3+756x-104976\) |
696.2.0.? |
$[ ]$ |
| 16704.g1 |
16704bb1 |
16704.g |
16704bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10752$ |
$0.686798$ |
$-185193/116$ |
$0.85122$ |
$3.28393$ |
$[0, 0, 0, -684, -9936]$ |
\(y^2=x^3-684x-9936\) |
116.2.0.? |
$[ ]$ |
| 16704.h1 |
16704cu1 |
16704.h |
16704cu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.112047801$ |
$1$ |
|
$4$ |
$7680$ |
$0.443427$ |
$48668/29$ |
$0.83955$ |
$2.92848$ |
$[0, 0, 0, 276, -304]$ |
\(y^2=x^3+276x-304\) |
116.2.0.? |
$[(2, 16)]$ |
| 16704.i1 |
16704l1 |
16704.i |
16704l |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$0.544969186$ |
$1$ |
|
$14$ |
$15360$ |
$0.893917$ |
$-12665630691/232$ |
$1.09099$ |
$4.01451$ |
$[0, 0, 0, -9324, 346544]$ |
\(y^2=x^3-9324x+346544\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 174.8.0.?, 696.16.0.? |
$[(70, 192), (52, 48)]$ |
| 16704.i2 |
16704l2 |
16704.i |
16704l |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{9} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$0.544969186$ |
$1$ |
|
$14$ |
$46080$ |
$1.443224$ |
$-970299/48778$ |
$0.99506$ |
$4.17810$ |
$[0, 0, 0, -3564, 767664]$ |
\(y^2=x^3-3564x+767664\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 174.8.0.?, 696.16.0.? |
$[(70, 928), (6, 864)]$ |
| 16704.j1 |
16704cs1 |
16704.j |
16704cs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{17} \cdot 3^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.639674298$ |
$1$ |
|
$4$ |
$10240$ |
$0.586358$ |
$24334/87$ |
$0.81241$ |
$3.09760$ |
$[0, 0, 0, 276, -4016]$ |
\(y^2=x^3+276x-4016\) |
696.2.0.? |
$[(26, 144)]$ |
| 16704.k1 |
16704z1 |
16704.k |
16704z |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{17} \cdot 3^{7} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.412252714$ |
$1$ |
|
$18$ |
$10240$ |
$0.586358$ |
$24334/87$ |
$0.81241$ |
$3.09760$ |
$[0, 0, 0, 276, 4016]$ |
\(y^2=x^3+276x+4016\) |
696.2.0.? |
$[(22, 144), (4, 72)]$ |
| 16704.l1 |
16704ca1 |
16704.l |
16704ca |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$2.031767930$ |
$1$ |
|
$2$ |
$15360$ |
$0.893917$ |
$-12665630691/232$ |
$1.09099$ |
$4.01451$ |
$[0, 0, 0, -9324, -346544]$ |
\(y^2=x^3-9324x-346544\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 348.8.0.?, 696.16.0.? |
$[(122, 576)]$ |
| 16704.l2 |
16704ca2 |
16704.l |
16704ca |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{9} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$0.677255976$ |
$1$ |
|
$4$ |
$46080$ |
$1.443224$ |
$-970299/48778$ |
$0.99506$ |
$4.17810$ |
$[0, 0, 0, -3564, -767664]$ |
\(y^2=x^3-3564x-767664\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 348.8.0.?, 696.16.0.? |
$[(858, 25056)]$ |
| 16704.m1 |
16704ba1 |
16704.m |
16704ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.443427$ |
$48668/29$ |
$0.83955$ |
$2.92848$ |
$[0, 0, 0, 276, 304]$ |
\(y^2=x^3+276x+304\) |
116.2.0.? |
$[ ]$ |
| 16704.n1 |
16704ct1 |
16704.n |
16704ct |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.909067158$ |
$1$ |
|
$4$ |
$10752$ |
$0.686798$ |
$-185193/116$ |
$0.85122$ |
$3.28393$ |
$[0, 0, 0, -684, 9936]$ |
\(y^2=x^3-684x+9936\) |
116.2.0.? |
$[(10, 64)]$ |
| 16704.o1 |
16704cb1 |
16704.o |
16704cb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1.975419358$ |
$1$ |
|
$2$ |
$46080$ |
$1.112526$ |
$9261/928$ |
$1.54708$ |
$3.76886$ |
$[0, 0, 0, 756, 104976]$ |
\(y^2=x^3+756x+104976\) |
696.2.0.? |
$[(0, 324)]$ |
| 16704.p1 |
16704bc1 |
16704.p |
16704bc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{27} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2365440$ |
$3.109383$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.23566$ |
$[0, 0, 0, -4437804, -16963904464]$ |
\(y^2=x^3-4437804x-16963904464\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 174.8.0.?, 696.16.0.? |
$[ ]$ |
| 16704.p2 |
16704bc2 |
16704.p |
16704bc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{51} \cdot 3^{13} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7096320$ |
$3.658688$ |
$36079072622241241607/458176313589497856$ |
$1.08854$ |
$6.90524$ |
$[0, 0, 0, 39652116, 439825302704]$ |
\(y^2=x^3+39652116x+439825302704\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 174.8.0.?, 696.16.0.? |
$[ ]$ |
| 16704.q1 |
16704bq2 |
16704.q |
16704bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( 2^{29} \cdot 3^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$168960$ |
$2.075443$ |
$144091275020705979/1722368$ |
$1.09275$ |
$5.68543$ |
$[0, 0, 0, -2097036, -1168845040]$ |
\(y^2=x^3-2097036x-1168845040\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[ ]$ |
| 16704.q2 |
16704bq1 |
16704.q |
16704bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{40} \cdot 3^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$84480$ |
$1.728868$ |
$-35091039199419/121634816$ |
$1.02166$ |
$4.83035$ |
$[0, 0, 0, -130956, -18295024]$ |
\(y^2=x^3-130956x-18295024\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[ ]$ |
| 16704.r1 |
16704d2 |
16704.r |
16704d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( 2^{17} \cdot 3^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$0.637765636$ |
$1$ |
|
$7$ |
$7168$ |
$0.514023$ |
$1940598/841$ |
$0.86613$ |
$3.03987$ |
$[0, 0, 0, -396, 1520]$ |
\(y^2=x^3-396x+1520\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[(-2, 48)]$ |
| 16704.r2 |
16704d1 |
16704.r |
16704d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1.275531272$ |
$1$ |
|
$5$ |
$3584$ |
$0.167449$ |
$37044/29$ |
$0.73057$ |
$2.56145$ |
$[0, 0, 0, 84, 176]$ |
\(y^2=x^3+84x+176\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[(4, 24)]$ |
| 16704.s1 |
16704cp1 |
16704.s |
16704cp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( 2^{10} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$696$ |
$48$ |
$0$ |
$1.638348615$ |
$1$ |
|
$5$ |
$5760$ |
$0.253315$ |
$5619712/29$ |
$0.88985$ |
$2.98917$ |
$[0, 0, 0, -336, 2360]$ |
\(y^2=x^3-336x+2360\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[(1, 45)]$ |
| 16704.s2 |
16704cp2 |
16704.s |
16704cp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$696$ |
$48$ |
$0$ |
$0.819174307$ |
$1$ |
|
$7$ |
$11520$ |
$0.599889$ |
$-35152/841$ |
$0.85096$ |
$3.13768$ |
$[0, 0, 0, -156, 4880]$ |
\(y^2=x^3-156x+4880\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 116.12.0.?, 232.24.0.?, $\ldots$ |
$[(-2, 72)]$ |
| 16704.t1 |
16704de1 |
16704.t |
16704de |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{13} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$1.289396$ |
$1192310528/53338743$ |
$1.01314$ |
$3.98595$ |
$[0, 0, 0, 2004, -301624]$ |
\(y^2=x^3+2004x-301624\) |
174.2.0.? |
$[ ]$ |
| 16704.u1 |
16704co1 |
16704.u |
16704co |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{21} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$3.953254521$ |
$1$ |
|
$2$ |
$46080$ |
$1.460522$ |
$-5802287872/416118303$ |
$1.03444$ |
$4.19939$ |
$[0, 0, 0, -3396, 851384]$ |
\(y^2=x^3-3396x+851384\) |
174.2.0.? |
$[(-35, 963)]$ |
| 16704.v1 |
16704v1 |
16704.v |
16704v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.374561$ |
$-562432/783$ |
$0.80037$ |
$2.87848$ |
$[0, 0, 0, -156, -1384]$ |
\(y^2=x^3-156x-1384\) |
174.2.0.? |
$[ ]$ |
| 16704.w1 |
16704u1 |
16704.w |
16704u |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{21} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.460522$ |
$-5802287872/416118303$ |
$1.03444$ |
$4.19939$ |
$[0, 0, 0, -3396, -851384]$ |
\(y^2=x^3-3396x-851384\) |
174.2.0.? |
$[ ]$ |
| 16704.x1 |
16704cn1 |
16704.x |
16704cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$0.827662887$ |
$1$ |
|
$2$ |
$6144$ |
$0.374561$ |
$-562432/783$ |
$0.80037$ |
$2.87848$ |
$[0, 0, 0, -156, 1384]$ |
\(y^2=x^3-156x+1384\) |
174.2.0.? |
$[(5, 27)]$ |
| 16704.y1 |
16704bj1 |
16704.y |
16704bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{13} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$0.754314963$ |
$1$ |
|
$2$ |
$43008$ |
$1.289396$ |
$1192310528/53338743$ |
$1.01314$ |
$3.98595$ |
$[0, 0, 0, 2004, 301624]$ |
\(y^2=x^3+2004x+301624\) |
174.2.0.? |
$[(365, 7047)]$ |
| 16704.z1 |
16704w1 |
16704.z |
16704w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( 2^{10} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$696$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.253315$ |
$5619712/29$ |
$0.88985$ |
$2.98917$ |
$[0, 0, 0, -336, -2360]$ |
\(y^2=x^3-336x-2360\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[ ]$ |
| 16704.z2 |
16704w2 |
16704.z |
16704w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$696$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.599889$ |
$-35152/841$ |
$0.85096$ |
$3.13768$ |
$[0, 0, 0, -156, -4880]$ |
\(y^2=x^3-156x-4880\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 116.12.0.?, 232.24.0.?, $\ldots$ |
$[ ]$ |
| 16704.ba1 |
16704c2 |
16704.ba |
16704c |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( 2^{29} \cdot 3^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$2.394658475$ |
$1$ |
|
$3$ |
$168960$ |
$2.075443$ |
$144091275020705979/1722368$ |
$1.09275$ |
$5.68543$ |
$[0, 0, 0, -2097036, 1168845040]$ |
\(y^2=x^3-2097036x+1168845040\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[(3678, 207872)]$ |
| 16704.ba2 |
16704c1 |
16704.ba |
16704c |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{40} \cdot 3^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$4.789316951$ |
$1$ |
|
$3$ |
$84480$ |
$1.728868$ |
$-35091039199419/121634816$ |
$1.02166$ |
$4.83035$ |
$[0, 0, 0, -130956, 18295024]$ |
\(y^2=x^3-130956x+18295024\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[(-124, 5712)]$ |
| 16704.bb1 |
16704bp2 |
16704.bb |
16704bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( 2^{17} \cdot 3^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7168$ |
$0.514023$ |
$1940598/841$ |
$0.86613$ |
$3.03987$ |
$[0, 0, 0, -396, -1520]$ |
\(y^2=x^3-396x-1520\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[ ]$ |
| 16704.bb2 |
16704bp1 |
16704.bb |
16704bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.167449$ |
$37044/29$ |
$0.73057$ |
$2.56145$ |
$[0, 0, 0, 84, -176]$ |
\(y^2=x^3+84x-176\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[ ]$ |
| 16704.bc1 |
16704bo1 |
16704.bc |
16704bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.385915314$ |
$1$ |
|
$16$ |
$3584$ |
$0.146365$ |
$-157464/29$ |
$0.79925$ |
$2.66741$ |
$[0, 0, 0, -108, 496]$ |
\(y^2=x^3-108x+496\) |
696.2.0.? |
$[(6, 8), (-10, 24)]$ |
| 16704.bd1 |
16704dc1 |
16704.bd |
16704dc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.560926161$ |
$1$ |
|
$16$ |
$15360$ |
$0.837970$ |
$2863288/7047$ |
$0.86773$ |
$3.39757$ |
$[0, 0, 0, 852, 17264]$ |
\(y^2=x^3+852x+17264\) |
696.2.0.? |
$[(70, 648), (-11, 81)]$ |
| 16704.be1 |
16704db2 |
16704.be |
16704db |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$301056$ |
$2.566673$ |
$-30526075007211889/103499257854$ |
$1.03180$ |
$5.86539$ |
$[0, 0, 0, -3750348, -2803651184]$ |
\(y^2=x^3-3750348x-2803651184\) |
7.24.0.a.2, 168.48.0.?, 696.2.0.?, 812.48.0.?, 4872.96.2.? |
$[ ]$ |
| 16704.be2 |
16704db1 |
16704.be |
16704db |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{13} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$1.593718$ |
$-117649/8118144$ |
$1.24364$ |
$4.36397$ |
$[0, 0, 0, -588, 1895056]$ |
\(y^2=x^3-588x+1895056\) |
7.24.0.a.1, 168.48.0.?, 696.2.0.?, 812.48.0.?, 4872.96.2.? |
$[ ]$ |
| 16704.bf1 |
16704cj1 |
16704.bf |
16704cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.922920835$ |
$1$ |
|
$2$ |
$1920$ |
$-0.144396$ |
$-64/29$ |
$0.93799$ |
$2.21875$ |
$[0, 0, 0, -3, 56]$ |
\(y^2=x^3-3x+56\) |
116.2.0.? |
$[(-4, 2)]$ |
| 16704.bg1 |
16704ci1 |
16704.bg |
16704ci |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$4.171685533$ |
$1$ |
|
$0$ |
$1920$ |
$-0.144396$ |
$-64/29$ |
$0.93799$ |
$2.21875$ |
$[0, 0, 0, -3, -56]$ |
\(y^2=x^3-3x-56\) |
116.2.0.? |
$[(40/3, 116/3)]$ |
| 16704.bh1 |
16704bh2 |
16704.bh |
16704bh |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$4872$ |
$96$ |
$2$ |
$0.390102489$ |
$1$ |
|
$4$ |
$301056$ |
$2.566673$ |
$-30526075007211889/103499257854$ |
$1.03180$ |
$5.86539$ |
$[0, 0, 0, -3750348, 2803651184]$ |
\(y^2=x^3-3750348x+2803651184\) |
7.24.0.a.2, 168.48.0.?, 406.48.0.?, 696.2.0.?, 4872.96.2.? |
$[(1237, 7569)]$ |
| 16704.bh2 |
16704bh1 |
16704.bh |
16704bh |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{13} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$2.730717426$ |
$1$ |
|
$2$ |
$43008$ |
$1.593718$ |
$-117649/8118144$ |
$1.24364$ |
$4.36397$ |
$[0, 0, 0, -588, -1895056]$ |
\(y^2=x^3-588x-1895056\) |
7.24.0.a.1, 168.48.0.?, 406.48.0.?, 696.2.0.?, 4872.96.2.? |
$[(229, 3159)]$ |
| 16704.bi1 |
16704da1 |
16704.bi |
16704da |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$0.837970$ |
$2863288/7047$ |
$0.86773$ |
$3.39757$ |
$[0, 0, 0, 852, -17264]$ |
\(y^2=x^3+852x-17264\) |
696.2.0.? |
$[ ]$ |
| 16704.bj1 |
16704bn1 |
16704.bj |
16704bn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3584$ |
$0.146365$ |
$-157464/29$ |
$0.79925$ |
$2.66741$ |
$[0, 0, 0, -108, -496]$ |
\(y^2=x^3-108x-496\) |
696.2.0.? |
$[ ]$ |
| 16704.bk1 |
16704bg1 |
16704.bk |
16704bg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{11} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$2.234812943$ |
$1$ |
|
$2$ |
$10240$ |
$0.554232$ |
$10976000/7047$ |
$0.89158$ |
$3.05802$ |
$[0, 0, 0, 420, -1096]$ |
\(y^2=x^3+420x-1096\) |
174.2.0.? |
$[(13, 81)]$ |
| 16704.bl1 |
16704bf1 |
16704.bl |
16704bf |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1.054382694$ |
$1$ |
|
$2$ |
$3072$ |
$0.182689$ |
$32000/87$ |
$0.73713$ |
$2.59214$ |
$[0, 0, 0, 60, -344]$ |
\(y^2=x^3+60x-344\) |
174.2.0.? |
$[(5, 9)]$ |
