| 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 |
| 53361.a1 |
53361cf1 |
53361.a |
53361cf |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{11} \cdot 7^{9} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9461760$ |
$3.158016$ |
$495616/243$ |
$1.02921$ |
$5.62226$ |
$[0, 0, 1, -15065589, 8797048510]$ |
\(y^2+y=x^3-15065589x+8797048510\) |
42.2.0.a.1 |
$[]$ |
| 53361.b1 |
53361ce1 |
53361.b |
53361ce |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{13} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17031168$ |
$3.484013$ |
$25104437248/2470629$ |
$1.01230$ |
$6.08116$ |
$[0, 0, 1, -79632399, -249176053800]$ |
\(y^2+y=x^3-79632399x-249176053800\) |
42.2.0.a.1 |
$[]$ |
| 53361.c1 |
53361cc1 |
53361.c |
53361cc |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51264$ |
$0.690840$ |
$-3469312/3$ |
$0.94092$ |
$3.22798$ |
$[0, 0, 1, -2541, -49338]$ |
\(y^2+y=x^3-2541x-49338\) |
6.2.0.a.1 |
$[]$ |
| 53361.d1 |
53361r1 |
53361.d |
53361r |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 7^{9} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1.979909925$ |
$1$ |
|
$4$ |
$1824768$ |
$2.588909$ |
$1216512/343$ |
$0.82151$ |
$5.03063$ |
$[0, 0, 1, -1760913, -644053930]$ |
\(y^2+y=x^3-1760913x-644053930\) |
42.2.0.a.1 |
$[(-420, 4630)]$ |
| 53361.e1 |
53361bz1 |
53361.e |
53361bz |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{11} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$1.611376$ |
$3584000/29403$ |
$0.93683$ |
$3.90831$ |
$[0, 0, 1, 12705, -2000826]$ |
\(y^2+y=x^3+12705x-2000826\) |
6.2.0.a.1 |
$[]$ |
| 53361.f1 |
53361w1 |
53361.f |
53361w |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{11} \cdot 7^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.110244850$ |
$1$ |
|
$2$ |
$2419200$ |
$2.584332$ |
$3584000/29403$ |
$0.93683$ |
$4.98094$ |
$[0, 0, 1, 622545, 686283232]$ |
\(y^2+y=x^3+622545x+686283232\) |
6.2.0.a.1 |
$[(2200, 112711)]$ |
| 53361.g1 |
53361q1 |
53361.g |
53361q |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1.158208093$ |
$1$ |
|
$4$ |
$55296$ |
$0.840656$ |
$1216512/343$ |
$0.82151$ |
$3.10327$ |
$[0, 0, 1, -1617, -17922]$ |
\(y^2+y=x^3-1617x-17922\) |
42.2.0.a.1 |
$[(-28, 73)]$ |
| 53361.h1 |
53361ca3 |
53361.h |
53361ca |
$3$ |
$25$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$11550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$6480000$ |
$3.217918$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.53768$ |
$[0, 0, 1, -417300807, 3281118763788]$ |
\(y^2+y=x^3-417300807x+3281118763788\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 210.24.0.?, $\ldots$ |
$[]$ |
| 53361.h2 |
53361ca2 |
53361.h |
53361ca |
$3$ |
$25$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$11550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$1296000$ |
$2.413200$ |
$-122023936/161051$ |
$1.01300$ |
$4.81976$ |
$[0, 0, 1, -551397, 285447258]$ |
\(y^2+y=x^3-551397x+285447258\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 210.120.0.?, 275.300.12.?, $\ldots$ |
$[]$ |
| 53361.h3 |
53361ca1 |
53361.h |
53361ca |
$3$ |
$25$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$11550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$259200$ |
$1.608480$ |
$-4096/11$ |
$0.82546$ |
$3.92310$ |
$[0, 0, 1, -17787, -2168532]$ |
\(y^2+y=x^3-17787x-2168532\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 210.24.0.?, $\ldots$ |
$[]$ |
| 53361.i1 |
53361cb1 |
53361.i |
53361cb |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{17} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8921088$ |
$3.147308$ |
$313944395776/1240029$ |
$0.98990$ |
$5.87265$ |
$[0, 0, 1, -37370487, 87630253884]$ |
\(y^2+y=x^3-37370487x+87630253884\) |
42.2.0.a.1 |
$[]$ |
| 53361.j1 |
53361x1 |
53361.j |
53361x |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.460047388$ |
$1$ |
|
$6$ |
$358848$ |
$1.663795$ |
$-3469312/3$ |
$0.94092$ |
$4.30062$ |
$[0, 0, 1, -124509, 16922848]$ |
\(y^2+y=x^3-124509x+16922848\) |
6.2.0.a.1 |
$[(196, 220)]$ |
| 53361.k1 |
53361cd1 |
53361.k |
53361cd |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{11} \cdot 7^{3} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1351680$ |
$2.185062$ |
$495616/243$ |
$1.02921$ |
$4.54962$ |
$[0, 0, 1, -307461, -25647372]$ |
\(y^2+y=x^3-307461x-25647372\) |
42.2.0.a.1 |
$[]$ |
| 53361.l1 |
53361cg1 |
53361.l |
53361cg |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$108864$ |
$0.885851$ |
$45056/27$ |
$1.13667$ |
$3.10327$ |
$[0, 0, 1, 1617, 4716]$ |
\(y^2+y=x^3+1617x+4716\) |
6.2.0.a.1 |
$[]$ |
| 53361.m1 |
53361n2 |
53361.m |
53361n |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 7^{6} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.198349371$ |
$1$ |
|
$4$ |
$1036800$ |
$2.232517$ |
$19034163/121$ |
$0.94120$ |
$4.84271$ |
$[1, -1, 1, -890462, -321419150]$ |
\(y^2+xy+y=x^3-x^2-890462x-321419150\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-547, 1604)]$ |
| 53361.m2 |
53361n1 |
53361.m |
53361n |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 7^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.099174685$ |
$1$ |
|
$7$ |
$518400$ |
$1.885944$ |
$19683/11$ |
$1.13667$ |
$4.21117$ |
$[1, -1, 1, -90047, 1948510]$ |
\(y^2+xy+y=x^3-x^2-90047x+1948510\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(-8, 1637)]$ |
| 53361.n1 |
53361t1 |
53361.n |
53361t |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{13} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$6.098376340$ |
$1$ |
|
$2$ |
$2257920$ |
$2.572010$ |
$17999471/24057$ |
$0.89764$ |
$4.91710$ |
$[1, -1, 1, 1066108, -485118840]$ |
\(y^2+xy+y=x^3-x^2+1066108x-485118840\) |
132.2.0.? |
$[(524, 14475)]$ |
| 53361.o1 |
53361bq1 |
53361.o |
53361bq |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$2.308723$ |
$24167/441$ |
$0.87626$ |
$4.68191$ |
$[1, -1, 1, 158971, -134845378]$ |
\(y^2+xy+y=x^3-x^2+158971x-134845378\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[]$ |
| 53361.p1 |
53361bo6 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1966080$ |
$2.795414$ |
$53297461115137/147$ |
$1.05087$ |
$5.90376$ |
$[1, -1, 1, -41836136, 104164339920]$ |
\(y^2+xy+y=x^3-x^2-41836136x+104164339920\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[]$ |
| 53361.p2 |
53361bo4 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 7^{10} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$983040$ |
$2.448841$ |
$13027640977/21609$ |
$1.08149$ |
$5.13971$ |
$[1, -1, 1, -2615801, 1626696096]$ |
\(y^2+xy+y=x^3-x^2-2615801x+1626696096\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[]$ |
| 53361.p3 |
53361bo3 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{14} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$983040$ |
$2.448841$ |
$6570725617/45927$ |
$1.00160$ |
$5.07682$ |
$[1, -1, 1, -2082191, -1148929680]$ |
\(y^2+xy+y=x^3-x^2-2082191x-1148929680\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 53361.p4 |
53361bo5 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 7^{14} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1966080$ |
$2.795414$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.22848$ |
$[1, -1, 1, -1815386, 2640341652]$ |
\(y^2+xy+y=x^3-x^2-1815386x+2640341652\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 53361.p5 |
53361bo2 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$491520$ |
$2.102268$ |
$7189057/3969$ |
$1.14862$ |
$4.45046$ |
$[1, -1, 1, -214556, 8256966]$ |
\(y^2+xy+y=x^3-x^2-214556x+8256966\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 53361.p6 |
53361bo1 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.755693$ |
$103823/63$ |
$0.97868$ |
$4.06115$ |
$[1, -1, 1, 52249, 999870]$ |
\(y^2+xy+y=x^3-x^2+52249x+999870\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[]$ |
| 53361.q1 |
53361bp6 |
53361.q |
53361bp |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{14} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7372800$ |
$3.343998$ |
$10206027697760497/5557167$ |
$1.00022$ |
$6.38652$ |
$[1, -1, 1, -241139471, 1441346935592]$ |
\(y^2+xy+y=x^3-x^2-241139471x+1441346935592\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.1, 24.24.0-8.n.1.7, $\ldots$ |
$[]$ |
| 53361.q2 |
53361bp4 |
53361.q |
53361bp |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3686400$ |
$2.997425$ |
$2533811507137/58110129$ |
$0.95470$ |
$5.62390$ |
$[1, -1, 1, -15155636, 22258845326]$ |
\(y^2+xy+y=x^3-x^2-15155636x+22258845326\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.i.1.28, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 53361.q3 |
53361bp2 |
53361.q |
53361bp |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 7^{10} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1843200$ |
$2.650852$ |
$6570725617/2614689$ |
$0.92677$ |
$5.07682$ |
$[1, -1, 1, -2082191, -645830314]$ |
\(y^2+xy+y=x^3-x^2-2082191x-645830314\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.i.2.28, 28.24.0-4.b.1.2, $\ldots$ |
$[]$ |
| 53361.q4 |
53361bp1 |
53361.q |
53361bp |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$2.304279$ |
$4354703137/1617$ |
$0.90109$ |
$5.03903$ |
$[1, -1, 1, -1815386, -940703200]$ |
\(y^2+xy+y=x^3-x^2-1815386x-940703200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.1, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
| 53361.q5 |
53361bp5 |
53361.q |
53361bp |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 7^{7} \cdot 11^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7372800$ |
$3.343998$ |
$3288008303/13504609503$ |
$1.06765$ |
$5.82787$ |
$[1, -1, 1, 1653079, 68913114680]$ |
\(y^2+xy+y=x^3-x^2+1653079x+68913114680\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0-8.n.1.1, $\ldots$ |
$[]$ |
| 53361.q6 |
53361bp3 |
53361.q |
53361bp |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{7} \cdot 7^{14} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3686400$ |
$2.997425$ |
$221115865823/190238433$ |
$0.96278$ |
$5.39985$ |
$[1, -1, 1, 6722374, -4681842910]$ |
\(y^2+xy+y=x^3-x^2+6722374x-4681842910\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.1, 24.24.0.bz.1, $\ldots$ |
$[]$ |
| 53361.r1 |
53361bm2 |
53361.r |
53361bm |
$2$ |
$11$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$1848$ |
$480$ |
$16$ |
$1.547045348$ |
$1$ |
|
$10$ |
$570240$ |
$2.203247$ |
$-24729001$ |
$0.96853$ |
$5.00456$ |
$[1, -1, 1, -1601942, 780829382]$ |
\(y^2+xy+y=x^3-x^2-1601942x+780829382\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 88.240.16.?, 168.4.0.?, $\ldots$ |
$[(696, 1285), (1695/2, 105023/2)]$ |
| 53361.r2 |
53361bm1 |
53361.r |
53361bm |
$2$ |
$11$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$1848$ |
$480$ |
$16$ |
$1.547045348$ |
$1$ |
|
$12$ |
$51840$ |
$1.004301$ |
$-121$ |
$0.94611$ |
$3.25050$ |
$[1, -1, 1, -1112, -55492]$ |
\(y^2+xy+y=x^3-x^2-1112x-55492\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 88.240.16.?, 168.4.0.?, $\ldots$ |
$[(58, 240), (597, 14254)]$ |
| 53361.s1 |
53361bn1 |
53361.s |
53361bn |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{12} \cdot 7^{12} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$10948608$ |
$3.515419$ |
$-30515071121161/85766121$ |
$0.99491$ |
$6.29356$ |
$[1, -1, 1, -171823532, -868965797752]$ |
\(y^2+xy+y=x^3-x^2-171823532x-868965797752\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[]$ |
| 53361.t1 |
53361br1 |
53361.t |
53361br |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{13} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.599054$ |
$17999471/24057$ |
$0.89764$ |
$3.84447$ |
$[1, -1, 1, 21757, 1408124]$ |
\(y^2+xy+y=x^3-x^2+21757x+1408124\) |
132.2.0.? |
$[]$ |
| 53361.u1 |
53361e1 |
53361.u |
53361e |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3386880$ |
$2.807724$ |
$-6193152/14641$ |
$1.26669$ |
$5.24651$ |
$[0, 0, 1, -2241162, -2912109874]$ |
\(y^2+y=x^3-2241162x-2912109874\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[]$ |
| 53361.v1 |
53361l1 |
53361.v |
53361l |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$3.687878245$ |
$1$ |
|
$0$ |
$161280$ |
$1.285463$ |
$-6193152/14641$ |
$1.26669$ |
$3.56829$ |
$[0, 0, 1, -5082, -314449]$ |
\(y^2+y=x^3-5082x-314449\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[(561/2, 10523/2)]$ |
| 53361.w1 |
53361bc2 |
53361.w |
53361bc |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{9} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1.264118622$ |
$1$ |
|
$10$ |
$221184$ |
$1.599747$ |
$35084566528/1029$ |
$1.04087$ |
$4.34953$ |
$[0, 0, 1, -148764, 22084312]$ |
\(y^2+y=x^3-148764x+22084312\) |
3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.2, 231.8.0.?, 462.16.0.? |
$[(280, 1543), (-406, 3944)]$ |
| 53361.w2 |
53361bc1 |
53361.w |
53361bc |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 7^{7} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1.264118622$ |
$1$ |
|
$10$ |
$73728$ |
$1.050440$ |
$360448/189$ |
$0.93152$ |
$3.29431$ |
$[0, 0, 1, -3234, -21695]$ |
\(y^2+y=x^3-3234x-21695\) |
3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.1, 231.8.0.?, 462.16.0.? |
$[(-35, 220), (91, 661)]$ |
| 53361.x1 |
53361y2 |
53361.x |
53361y |
$2$ |
$11$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$9.429401792$ |
$1$ |
|
$0$ |
$506880$ |
$2.098137$ |
$-32768$ |
$1.02512$ |
$4.62081$ |
$[0, 0, 1, -391314, -96670863]$ |
\(y^2+y=x^3-391314x-96670863\) |
|
$[(2507967/43, 3436316747/43)]$ |
| 53361.x2 |
53361y1 |
53361.x |
53361y |
$2$ |
$11$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.857218344$ |
$1$ |
|
$4$ |
$46080$ |
$0.899188$ |
$-32768$ |
$1.02512$ |
$3.29903$ |
$[0, 0, 1, -3234, 72630]$ |
\(y^2+y=x^3-3234x+72630\) |
|
$[(0, 269)]$ |
| 53361.y1 |
53361bb2 |
53361.y |
53361bb |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 7^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.798695$ |
$35084566528/1029$ |
$1.04087$ |
$5.67131$ |
$[0, 0, 1, -18000444, -29394219605]$ |
\(y^2+y=x^3-18000444x-29394219605\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 21.8.0-3.a.1.1, 42.16.0-42.b.1.1 |
$[]$ |
| 53361.y2 |
53361bb1 |
53361.y |
53361bb |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$2.249390$ |
$360448/189$ |
$0.93152$ |
$4.61609$ |
$[0, 0, 1, -391314, 28875712]$ |
\(y^2+y=x^3-391314x+28875712\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 21.8.0-3.a.1.2, 42.16.0-42.b.1.2 |
$[]$ |
| 53361.z1 |
53361z1 |
53361.z |
53361z |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.934555$ |
$884736/539$ |
$1.02512$ |
$4.25799$ |
$[0, 0, 1, 106722, -3081598]$ |
\(y^2+y=x^3+106722x-3081598\) |
22.2.0.a.1 |
$[]$ |
| 53361.ba1 |
53361j2 |
53361.ba |
53361j |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$8.270252254$ |
$1$ |
|
$0$ |
$725760$ |
$2.323380$ |
$0$ |
|
$4.70275$ |
$[0, 0, 1, 0, -150998290]$ |
\(y^2+y=x^3-150998290\) |
|
$[(160710/13, 58496170/13)]$ |
| 53361.ba2 |
53361j1 |
53361.ba |
53361j |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$2.756750751$ |
$1$ |
|
$2$ |
$241920$ |
$1.774075$ |
$0$ |
|
$4.09717$ |
$[0, 0, 1, 0, 5592529]$ |
\(y^2+y=x^3+5592529\) |
|
$[(-143, 1633)]$ |
| 53361.bb1 |
53361b1 |
53361.bb |
53361b |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$26208$ |
$0.650458$ |
$0$ |
|
$2.85844$ |
$[0, 0, 1, 0, -6603]$ |
\(y^2+y=x^3-6603\) |
|
$[]$ |
| 53361.bb2 |
53361b2 |
53361.bb |
53361b |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$78624$ |
$1.199764$ |
$0$ |
|
$3.46402$ |
$[0, 0, 1, 0, 178274]$ |
\(y^2+y=x^3+178274\) |
|
$[]$ |
| 53361.bc1 |
53361i1 |
53361.bc |
53361i |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.586799050$ |
$1$ |
|
$0$ |
$41184$ |
$0.876451$ |
$0$ |
|
$3.10758$ |
$[0, 0, 1, 0, -25622]$ |
\(y^2+y=x^3-25622\) |
|
$[(121/2, 359/2)]$ |
| 53361.bc2 |
53361i2 |
53361.bc |
53361i |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.760397150$ |
$1$ |
|
$0$ |
$123552$ |
$1.425756$ |
$0$ |
|
$3.71317$ |
$[0, 0, 1, 0, 691787]$ |
\(y^2+y=x^3+691787\) |
|
$[(-327/2, 3047/2)]$ |
| 53361.bd1 |
53361g1 |
53361.bd |
53361g |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$11$ |
11.165.5.1 |
11Nn.1.4 |
|
|
|
$1.488470653$ |
$1$ |
|
$4$ |
$26208$ |
$0.725789$ |
$0$ |
|
$2.94149$ |
$[0, 0, 1, 0, -10376]$ |
\(y^2+y=x^3-10376\) |
|
$[(22, 16)]$ |
