| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 13552.a1 |
13552u1 |
13552.a |
13552u |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{21} \cdot 7^{5} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$4.565283925$ |
$1$ |
|
$2$ |
$1140480$ |
$2.717983$ |
$-8773917273/8605184$ |
$1.04428$ |
$5.90513$ |
$1$ |
$[0, 0, 0, -2035099, 1834370890]$ |
\(y^2=x^3-2035099x+1834370890\) |
56.2.0.b.1 |
$[(1213, 33920)]$ |
$1$ |
| 13552.b1 |
13552bc1 |
13552.b |
13552bc |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{21} \cdot 7^{5} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.519035$ |
$-8773917273/8605184$ |
$1.04428$ |
$4.39294$ |
$1$ |
$[0, 0, 0, -16819, -1378190]$ |
\(y^2=x^3-16819x-1378190\) |
56.2.0.b.1 |
$[ ]$ |
$1$ |
| 13552.c1 |
13552i2 |
13552.c |
13552i |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.733741062$ |
$1$ |
|
$7$ |
$23040$ |
$0.964279$ |
$3543122/49$ |
$1.08036$ |
$3.89861$ |
$1$ |
$[0, 1, 0, -4880, -131276]$ |
\(y^2=x^3+x^2-4880x-131276\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(-44, 14)]$ |
$1$ |
| 13552.c2 |
13552i1 |
13552.c |
13552i |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$0.866870531$ |
$1$ |
|
$9$ |
$11520$ |
$0.617705$ |
$-4/7$ |
$1.03482$ |
$3.22881$ |
$1$ |
$[0, 1, 0, -40, -5436]$ |
\(y^2=x^3+x^2-40x-5436\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(40, 242)]$ |
$1$ |
| 13552.d1 |
13552s2 |
13552.d |
13552s |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.492286236$ |
$1$ |
|
$5$ |
$92160$ |
$1.806076$ |
$15124197817/1294139$ |
$0.97750$ |
$4.85004$ |
$1$ |
$[0, 1, 0, -99744, 11159476]$ |
\(y^2=x^3+x^2-99744x+11159476\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(260, 1694)]$ |
$1$ |
| 13552.d2 |
13552s1 |
13552.d |
13552s |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{3} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.246143118$ |
$1$ |
|
$7$ |
$46080$ |
$1.459501$ |
$4657463/41503$ |
$0.89262$ |
$4.28053$ |
$1$ |
$[0, 1, 0, 6736, 809620]$ |
\(y^2=x^3+x^2+6736x+809620\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(18, 968)]$ |
$1$ |
| 13552.e1 |
13552r2 |
13552.e |
13552r |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$10.23013700$ |
$1$ |
|
$1$ |
$92160$ |
$1.799780$ |
$1426487591593/2156$ |
$0.95006$ |
$5.32792$ |
$1$ |
$[0, 1, 0, -454032, -117905900]$ |
\(y^2=x^3+x^2-454032x-117905900\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(590900/7, 453518890/7)]$ |
$1$ |
| 13552.e2 |
13552r1 |
13552.e |
13552r |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$5.115068501$ |
$1$ |
|
$3$ |
$46080$ |
$1.453207$ |
$-338608873/13552$ |
$0.87448$ |
$4.45775$ |
$1$ |
$[0, 1, 0, -28112, -1885292]$ |
\(y^2=x^3+x^2-28112x-1885292\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(12052, 1323014)]$ |
$1$ |
| 13552.f1 |
13552h2 |
13552.f |
13552h |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 7^{10} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.294909069$ |
$1$ |
|
$3$ |
$460800$ |
$2.703472$ |
$1278763167594532/375974556419$ |
$1.04359$ |
$5.89676$ |
$1$ |
$[0, 1, 0, -2757872, 1235503300]$ |
\(y^2=x^3+x^2-2757872x+1235503300\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(2416, 93170)]$ |
$1$ |
| 13552.f2 |
13552h1 |
13552.f |
13552h |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{5} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.589818138$ |
$1$ |
|
$3$ |
$230400$ |
$2.356899$ |
$24226243449392/29774625727$ |
$0.97408$ |
$5.34645$ |
$1$ |
$[0, 1, 0, 463148, 128760828]$ |
\(y^2=x^3+x^2+463148x+128760828\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(854, 33880)]$ |
$1$ |
| 13552.g1 |
13552j1 |
13552.g |
13552j |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{8} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.1 |
|
$88$ |
$32$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$2.241924$ |
$2575826944/5764801$ |
$1.10622$ |
$5.23939$ |
$1$ |
$[0, -1, 0, 241355, 77200169]$ |
\(y^2=x^3-x^2+241355x+77200169\) |
4.4.0.a.1, 8.16.0.a.1, 22.2.0.a.1, 44.8.0.a.1, 88.32.1.? |
$[ ]$ |
$1$ |
| 13552.h1 |
13552v1 |
13552.h |
13552v |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.1 |
|
$88$ |
$32$ |
$1$ |
$0.295412698$ |
$1$ |
|
$6$ |
$13824$ |
$1.042978$ |
$2575826944/5764801$ |
$1.10622$ |
$3.72720$ |
$1$ |
$[0, -1, 0, 1995, -58727]$ |
\(y^2=x^3-x^2+1995x-58727\) |
4.4.0.a.1, 8.16.0.a.1, 22.2.0.a.1, 44.8.0.a.1, 88.32.1.? |
$[(73, 686)]$ |
$1$ |
| 13552.i1 |
13552z1 |
13552.i |
13552z |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.597095$ |
$-78843215872/539$ |
$1.00604$ |
$5.02359$ |
$1$ |
$[0, -1, 0, -172949, 27741661]$ |
\(y^2=x^3-x^2-172949x+27741661\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 36.24.0-9.a.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.i2 |
13552z2 |
13552.i |
13552z |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$2.146400$ |
$-13278380032/156590819$ |
$1.06522$ |
$5.15823$ |
$1$ |
$[0, -1, 0, -95509, 52561181]$ |
\(y^2=x^3-x^2-95509x+52561181\) |
3.12.0.a.1, 12.24.0-3.a.1.2, 22.2.0.a.1, 63.36.0.b.1, 66.24.1.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.i3 |
13552z3 |
13552.i |
13552z |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{2} \cdot 11^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$518400$ |
$2.695709$ |
$9463555063808/115539436859$ |
$1.06593$ |
$5.84218$ |
$1$ |
$[0, -1, 0, 853131, -1359963779]$ |
\(y^2=x^3-x^2+853131x-1359963779\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 36.24.0-9.a.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.j1 |
13552n2 |
13552.j |
13552n |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$2.453829664$ |
$1$ |
|
$5$ |
$138240$ |
$1.940109$ |
$11422548526761/4312$ |
$1.11135$ |
$5.54658$ |
$1$ |
$[0, 0, 0, -908347, 333215850]$ |
\(y^2=x^3-908347x+333215850\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(543, 294)]$ |
$1$ |
| 13552.j2 |
13552n1 |
13552.j |
13552n |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{18} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.226914832$ |
$1$ |
|
$7$ |
$69120$ |
$1.593536$ |
$-2749884201/54208$ |
$1.01159$ |
$4.67439$ |
$1$ |
$[0, 0, 0, -56507, 5257450]$ |
\(y^2=x^3-56507x+5257450\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(-33, 2662)]$ |
$1$ |
| 13552.k1 |
13552e3 |
13552.k |
13552e |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$2.991639069$ |
$1$ |
|
$5$ |
$30720$ |
$1.426327$ |
$1707831108/26411$ |
$0.90642$ |
$4.47509$ |
$1$ |
$[0, 0, 0, -30371, 2009810]$ |
\(y^2=x^3-30371x+2009810\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 56.24.0-56.z.1.13, 616.48.0.? |
$[(82, 266)]$ |
$1$ |
| 13552.k2 |
13552e2 |
13552.k |
13552e |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$308$ |
$48$ |
$0$ |
$5.983278139$ |
$1$ |
|
$3$ |
$15360$ |
$1.079754$ |
$12869712/5929$ |
$0.92155$ |
$3.81562$ |
$1$ |
$[0, 0, 0, -3751, -39930]$ |
\(y^2=x^3-3751x-39930\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.3, 44.24.0-44.a.1.1, 308.48.0.? |
$[(-519/4, 13965/4)]$ |
$1$ |
| 13552.k3 |
13552e1 |
13552.k |
13552e |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 7 \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$11.96655627$ |
$1$ |
|
$1$ |
$7680$ |
$0.733180$ |
$121485312/77$ |
$0.96765$ |
$3.76016$ |
$2$ |
$[0, 0, 0, -3146, -67881]$ |
\(y^2=x^3-3146x-67881\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.5, 88.24.0.?, 154.6.0.?, $\ldots$ |
$[(-457511/120, 1813987/120)]$ |
$1$ |
| 13552.k4 |
13552e4 |
13552.k |
13552e |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$2.991639069$ |
$1$ |
|
$3$ |
$30720$ |
$1.426327$ |
$139863132/102487$ |
$0.92001$ |
$4.21209$ |
$2$ |
$[0, 0, 0, 13189, -300806]$ |
\(y^2=x^3+13189x-300806\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(561, 13552)]$ |
$1$ |
| 13552.l1 |
13552l1 |
13552.l |
13552l |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{18} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$44$ |
$16$ |
$0$ |
$0.987738637$ |
$1$ |
|
$4$ |
$6912$ |
$0.780802$ |
$-115538049/153664$ |
$1.03468$ |
$3.45502$ |
$1$ |
$[0, 0, 0, -803, 15906]$ |
\(y^2=x^3-803x+15906\) |
4.8.0.b.1, 44.16.0-4.b.1.1 |
$[(23, 98)]$ |
$1$ |
| 13552.m1 |
13552x1 |
13552.m |
13552x |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{18} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$76032$ |
$1.979750$ |
$-115538049/153664$ |
$1.03468$ |
$4.96720$ |
$1$ |
$[0, 0, 0, -97163, -21170886]$ |
\(y^2=x^3-97163x-21170886\) |
4.16.0-4.b.1.1 |
$[ ]$ |
$1$ |
| 13552.n1 |
13552b2 |
13552.n |
13552b |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.698338$ |
$2415899250/1294139$ |
$1.20887$ |
$4.58440$ |
$1$ |
$[0, 0, 0, -42955, 934362]$ |
\(y^2=x^3-42955x+934362\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[ ]$ |
$1$ |
| 13552.n2 |
13552b1 |
13552.n |
13552b |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.351765$ |
$66325500/41503$ |
$0.93491$ |
$4.13367$ |
$1$ |
$[0, 0, 0, 10285, 114466]$ |
\(y^2=x^3+10285x+114466\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[ ]$ |
$1$ |
| 13552.o1 |
13552m3 |
13552.o |
13552m |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{4} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$28.96139847$ |
$1$ |
|
$1$ |
$276480$ |
$2.519268$ |
$15226621995131793/2324168$ |
$1.03578$ |
$6.30283$ |
$2$ |
$[0, 0, 0, -9996899, -12165949598]$ |
\(y^2=x^3-9996899x-12165949598\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ |
$[(71707450568479/79395, 580676695422477133942/79395)]$ |
$1$ |
| 13552.o2 |
13552m4 |
13552.o |
13552m |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 7 \cdot 11^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$7.240349618$ |
$1$ |
|
$1$ |
$276480$ |
$2.519268$ |
$24331017010833/12004097336$ |
$1.13408$ |
$5.62605$ |
$2$ |
$[0, 0, 0, -1168739, 186752610]$ |
\(y^2=x^3-1168739x+186752610\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 88.24.0.?, $\ldots$ |
$[(93401/5, 27376976/5)]$ |
$1$ |
| 13552.o3 |
13552m2 |
13552.o |
13552m |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{18} \cdot 7^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$14.48069923$ |
$1$ |
|
$3$ |
$138240$ |
$2.172695$ |
$3750606459153/45914176$ |
$1.08438$ |
$5.42953$ |
$1$ |
$[0, 0, 0, -626659, -188908830]$ |
\(y^2=x^3-626659x-188908830\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[(-13675945/179, 5149718490/179)]$ |
$1$ |
| 13552.o4 |
13552m1 |
13552.o |
13552m |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{24} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$7.240349618$ |
$1$ |
|
$1$ |
$69120$ |
$1.826120$ |
$-5545233/3469312$ |
$1.05747$ |
$4.75288$ |
$2$ |
$[0, 0, 0, -7139, -7637278]$ |
\(y^2=x^3-7139x-7637278\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(100639/3, 31925366/3)]$ |
$1$ |
| 13552.p1 |
13552c4 |
13552.p |
13552c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20480$ |
$1.196915$ |
$1443468546/7$ |
$1.04654$ |
$4.53027$ |
$2$ |
$[0, 0, 0, -36179, 2648690]$ |
\(y^2=x^3-36179x+2648690\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.p2 |
13552c3 |
13552.p |
13552c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20480$ |
$1.196915$ |
$11090466/2401$ |
$1.11706$ |
$4.01854$ |
$2$ |
$[0, 0, 0, -7139, -183678]$ |
\(y^2=x^3-7139x-183678\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.p3 |
13552c2 |
13552.p |
13552c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$10240$ |
$0.850341$ |
$740772/49$ |
$1.06534$ |
$3.66126$ |
$1$ |
$[0, 0, 0, -2299, 39930]$ |
\(y^2=x^3-2299x+39930\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.p4 |
13552c1 |
13552.p |
13552c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5120$ |
$0.503768$ |
$432/7$ |
$0.89152$ |
$3.07924$ |
$2$ |
$[0, 0, 0, 121, 2662]$ |
\(y^2=x^3+121x+2662\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.q1 |
13552o1 |
13552.q |
13552o |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.331066070$ |
$1$ |
|
$4$ |
$11520$ |
$0.918747$ |
$-4194304/539$ |
$0.95840$ |
$3.71886$ |
$1$ |
$[0, 1, 0, -2581, 54943]$ |
\(y^2=x^3+x^2-2581x+54943\) |
22.2.0.a.1 |
$[(51, 242)]$ |
$1$ |
| 13552.r1 |
13552f1 |
13552.r |
13552f |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.251828283$ |
$1$ |
|
$0$ |
$23040$ |
$1.263729$ |
$-1024/65219$ |
$1.07918$ |
$4.04368$ |
$1$ |
$[0, 1, 0, -161, 261611]$ |
\(y^2=x^3+x^2-161x+261611\) |
22.2.0.a.1 |
$[(413/2, 9317/2)]$ |
$1$ |
| 13552.s1 |
13552p1 |
13552.s |
13552p |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1.124146505$ |
$1$ |
|
$2$ |
$2304$ |
$0.002180$ |
$24167/14$ |
$0.97903$ |
$2.43910$ |
$1$ |
$[0, 1, 0, 48, 20]$ |
\(y^2=x^3+x^2+48x+20\) |
56.2.0.b.1 |
$[(10, 40)]$ |
$1$ |
| 13552.t1 |
13552y1 |
13552.t |
13552y |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25344$ |
$1.201128$ |
$24167/14$ |
$0.97903$ |
$3.95129$ |
$1$ |
$[0, 1, 0, 5768, -3500]$ |
\(y^2=x^3+x^2+5768x-3500\) |
56.2.0.b.1 |
$[ ]$ |
$1$ |
| 13552.u1 |
13552k2 |
13552.u |
13552k |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.095789$ |
$194672/49$ |
$0.86453$ |
$2.61900$ |
$1$ |
$[0, -1, 0, -84, -196]$ |
\(y^2=x^3-x^2-84x-196\) |
2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.? |
$[ ]$ |
$1$ |
| 13552.u2 |
13552k1 |
13552.u |
13552k |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$-0.250785$ |
$131072/7$ |
$0.87634$ |
$2.28601$ |
$1$ |
$[0, -1, 0, -29, 68]$ |
\(y^2=x^3-x^2-29x+68\) |
2.3.0.a.1, 28.6.0.e.1, 44.6.0.b.1, 154.6.0.?, 308.12.0.? |
$[ ]$ |
$1$ |
| 13552.v1 |
13552w2 |
13552.v |
13552w |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$10.08950334$ |
$1$ |
|
$1$ |
$38016$ |
$1.294737$ |
$194672/49$ |
$0.86453$ |
$4.13119$ |
$1$ |
$[0, -1, 0, -10204, 301644]$ |
\(y^2=x^3-x^2-10204x+301644\) |
2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.? |
$[(-21339/22, 8675877/22)]$ |
$1$ |
| 13552.v2 |
13552w1 |
13552.v |
13552w |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 7 \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$20.17900669$ |
$1$ |
|
$1$ |
$19008$ |
$0.948163$ |
$131072/7$ |
$0.87634$ |
$3.79820$ |
$1$ |
$[0, -1, 0, -3549, -76360]$ |
\(y^2=x^3-x^2-3549x-76360\) |
2.3.0.a.1, 28.6.0.e.1, 44.6.0.b.1, 154.6.0.?, 308.12.0.? |
$[(-492169631/4092, 2823213949417/4092)]$ |
$1$ |
| 13552.w1 |
13552ba6 |
13552.w |
13552ba |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{21} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$5544$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$1$ |
$207360$ |
$2.305195$ |
$2251439055699625/25088$ |
$1.06489$ |
$6.10193$ |
$1$ |
$[0, -1, 0, -5286288, -4676390464]$ |
\(y^2=x^3-x^2-5286288x-4676390464\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.w2 |
13552ba5 |
13552.w |
13552ba |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{30} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$5544$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$1$ |
$103680$ |
$1.958622$ |
$-548347731625/1835008$ |
$1.02933$ |
$5.22804$ |
$1$ |
$[0, -1, 0, -330128, -73109056]$ |
\(y^2=x^3-x^2-330128x-73109056\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.w3 |
13552ba4 |
13552.w |
13552ba |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{6} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$5544$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.755890$ |
$4956477625/941192$ |
$1.00821$ |
$4.73279$ |
$1$ |
$[0, -1, 0, -68768, -5666560]$ |
\(y^2=x^3-x^2-68768x-5666560\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.w4 |
13552ba2 |
13552.w |
13552ba |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$5544$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.206583$ |
$128787625/98$ |
$0.96763$ |
$4.34912$ |
$1$ |
$[0, -1, 0, -20368, 1124928]$ |
\(y^2=x^3-x^2-20368x+1124928\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.w5 |
13552ba1 |
13552.w |
13552ba |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{14} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$5544$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.860010$ |
$-15625/28$ |
$1.01712$ |
$3.54960$ |
$1$ |
$[0, -1, 0, -1008, 25280]$ |
\(y^2=x^3-x^2-1008x+25280\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.w6 |
13552ba3 |
13552.w |
13552ba |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{18} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$5544$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$1.409315$ |
$9938375/21952$ |
$0.98695$ |
$4.18872$ |
$1$ |
$[0, -1, 0, 8672, -524544]$ |
\(y^2=x^3-x^2+8672x-524544\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 13552.x1 |
13552g2 |
13552.x |
13552g |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$5.096518968$ |
$1$ |
|
$3$ |
$30720$ |
$1.264660$ |
$1354435492/539$ |
$0.87282$ |
$4.45073$ |
$1$ |
$[0, -1, 0, -28112, -1804240]$ |
\(y^2=x^3-x^2-28112x-1804240\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(17230, 2261490)]$ |
$1$ |
| 13552.x2 |
13552g1 |
13552.x |
13552g |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$10.19303793$ |
$1$ |
|
$1$ |
$15360$ |
$0.918087$ |
$-810448/847$ |
$0.75673$ |
$3.63344$ |
$1$ |
$[0, -1, 0, -1492, -36672]$ |
\(y^2=x^3-x^2-1492x-36672\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(969241/15, 954068786/15)]$ |
$1$ |
| 13552.y1 |
13552q1 |
13552.y |
13552q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$16.04995485$ |
$1$ |
|
$0$ |
$31680$ |
$1.172646$ |
$-2141392/49$ |
$0.77953$ |
$4.13526$ |
$1$ |
$[0, -1, 0, -10204, -401124]$ |
\(y^2=x^3-x^2-10204x-401124\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.a.1.4, 56.4.0-4.a.1.1, $\ldots$ |
$[(17540305/351, 43495030684/351)]$ |
$1$ |
