| 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 |
| 31680.a1 |
31680cq1 |
31680.a |
31680cq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5 \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1.256831046$ |
$1$ |
|
$4$ |
$161280$ |
$1.541836$ |
$-76711450249/851840$ |
$0.93960$ |
$4.26023$ |
$[0, 0, 0, -50988, 4473808]$ |
\(y^2=x^3-50988x+4473808\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 440.2.0.?, 660.8.0.?, 1320.16.0.? |
$[(138, 256)]$ |
| 31680.a2 |
31680cq2 |
31680.a |
31680cq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{39} \cdot 3^{6} \cdot 5^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$3.770493138$ |
$1$ |
|
$0$ |
$483840$ |
$2.091141$ |
$2882081488391/2883584000$ |
$0.98944$ |
$4.60830$ |
$[0, 0, 0, 170772, 23190352]$ |
\(y^2=x^3+170772x+23190352\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 440.2.0.?, 660.8.0.?, 1320.16.0.? |
$[(1866/5, 753664/5)]$ |
| 31680.b1 |
31680cc1 |
31680.b |
31680cc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1.121912946$ |
$1$ |
|
$17$ |
$20480$ |
$0.528025$ |
$76136652/275$ |
$0.98136$ |
$3.13933$ |
$[0, 0, 0, -1068, 13392]$ |
\(y^2=x^3-1068x+13392\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(16, 20), (21, 15)]$ |
| 31680.b2 |
31680cc2 |
31680.b |
31680cc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1.121912946$ |
$1$ |
|
$21$ |
$40960$ |
$0.874598$ |
$-6353046/75625$ |
$1.24734$ |
$3.26292$ |
$[0, 0, 0, -588, 25488]$ |
\(y^2=x^3-588x+25488\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(-14, 176), (18, 144)]$ |
| 31680.c1 |
31680r4 |
31680.c |
31680r |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.748487$ |
$1628514404944/664335375$ |
$0.96334$ |
$4.28568$ |
$[0, 0, 0, -56028, 2772848]$ |
\(y^2=x^3-56028x+2772848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 44.6.0.c.1, $\ldots$ |
$[]$ |
| 31680.c2 |
31680r2 |
31680.c |
31680r |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.199181$ |
$158792223184/16335$ |
$0.92143$ |
$4.06106$ |
$[0, 0, 0, -25788, -1593808]$ |
\(y^2=x^3-25788x-1593808\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 44.6.0.c.1, $\ldots$ |
$[]$ |
| 31680.c3 |
31680r1 |
31680.c |
31680r |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.852608$ |
$-488095744/200475$ |
$0.94024$ |
$3.28708$ |
$[0, 0, 0, -1488, -28888]$ |
\(y^2=x^3-1488x-28888\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.3, $\ldots$ |
$[]$ |
| 31680.c4 |
31680r3 |
31680.c |
31680r |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.401915$ |
$223673040896/187171875$ |
$1.02215$ |
$3.82659$ |
$[0, 0, 0, 11472, 315848]$ |
\(y^2=x^3+11472x+315848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.11, $\ldots$ |
$[]$ |
| 31680.d1 |
31680dc4 |
31680.d |
31680dc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{8} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$12.03295862$ |
$1$ |
|
$9$ |
$196608$ |
$1.650230$ |
$228027144098/12890625$ |
$0.94421$ |
$4.29663$ |
$[0, 0, 0, -58188, -5131888]$ |
\(y^2=x^3-58188x-5131888\) |
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.1.8, $\ldots$ |
$[(-128, 468), (-148, 488)]$ |
| 31680.d2 |
31680dc2 |
31680.d |
31680dc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$3.008239655$ |
$1$ |
|
$27$ |
$98304$ |
$1.303658$ |
$2810381476/680625$ |
$0.90521$ |
$3.80555$ |
$[0, 0, 0, -10668, 323408]$ |
\(y^2=x^3-10668x+323408\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 44.12.0-2.a.1.2, $\ldots$ |
$[(16, 396), (28, 216)]$ |
| 31680.d3 |
31680dc1 |
31680.d |
31680dc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$0.752059913$ |
$1$ |
|
$25$ |
$49152$ |
$0.957084$ |
$9115564624/825$ |
$0.89208$ |
$3.78532$ |
$[0, 0, 0, -9948, 381872]$ |
\(y^2=x^3-9948x+381872\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 66.6.0.a.1, $\ldots$ |
$[(61, 45), (52, 72)]$ |
| 31680.d4 |
31680dc3 |
31680.d |
31680dc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{17} \cdot 3^{10} \cdot 5^{2} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$0.752059913$ |
$1$ |
|
$29$ |
$196608$ |
$1.650230$ |
$18814587262/29648025$ |
$0.95073$ |
$4.10840$ |
$[0, 0, 0, 25332, 2037008]$ |
\(y^2=x^3+25332x+2037008\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[(-46, 880), (64, 1980)]$ |
| 31680.e1 |
31680db4 |
31680.e |
31680db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{25} \cdot 3^{11} \cdot 5^{16} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$13762560$ |
$3.845093$ |
$680995599504466943307169/52207031250000000$ |
$1.06496$ |
$7.13529$ |
$[0, 0, 0, -1055753868, -13202718612208]$ |
\(y^2=x^3-1055753868x-13202718612208\) |
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.1.8, $\ldots$ |
$[]$ |
| 31680.e2 |
31680db2 |
31680.e |
31680db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{32} \cdot 3^{16} \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$6881280$ |
$3.498516$ |
$201738262891771037089/45727545600000000$ |
$1.05036$ |
$6.35135$ |
$[0, 0, 0, -70379148, -177247263472]$ |
\(y^2=x^3-70379148x-177247263472\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 44.12.0-2.a.1.2, $\ldots$ |
$[]$ |
| 31680.e3 |
31680db1 |
31680.e |
31680db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{46} \cdot 3^{11} \cdot 5^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3440640$ |
$3.151943$ |
$7220044159551112609/448454983680000$ |
$1.03565$ |
$6.03002$ |
$[0, 0, 0, -23193228, 40619566352]$ |
\(y^2=x^3-23193228x+40619566352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 31680.e4 |
31680db3 |
31680.e |
31680db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{25} \cdot 3^{26} \cdot 5^{4} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13762560$ |
$3.845093$ |
$2371297246710590562911/4084000833203280000$ |
$1.06688$ |
$6.65485$ |
$[0, 0, 0, 160020852, -1095253023472]$ |
\(y^2=x^3+160020852x-1095253023472\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 31680.f1 |
31680c3 |
31680.f |
31680c |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{36} \cdot 3^{9} \cdot 5^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$2.461624$ |
$15781142246787/8722841600$ |
$1.10012$ |
$5.09039$ |
$[0, 0, 0, -902988, 69958512]$ |
\(y^2=x^3-902988x+69958512\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 24.48.0-24.cc.1.3, $\ldots$ |
$[]$ |
| 31680.f2 |
31680c1 |
31680.f |
31680c |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.912317$ |
$5066026756449723/11000000$ |
$1.06053$ |
$5.01125$ |
$[0, 0, 0, -686988, 219164912]$ |
\(y^2=x^3-686988x+219164912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 24.48.0-24.cc.1.1, $\ldots$ |
$[]$ |
| 31680.f3 |
31680c2 |
31680.f |
31680c |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.258892$ |
$-4898016158612283/236328125000$ |
$1.02528$ |
$5.01573$ |
$[0, 0, 0, -679308, 224304368]$ |
\(y^2=x^3-679308x+224304368\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 24.48.0-24.cb.1.5, 88.6.0.?, $\ldots$ |
$[]$ |
| 31680.f4 |
31680c4 |
31680.f |
31680c |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{27} \cdot 3^{9} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$2.808197$ |
$935355271080573/566899520000$ |
$1.07091$ |
$5.48429$ |
$[0, 0, 0, 3520692, 553024368]$ |
\(y^2=x^3+3520692x+553024368\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 24.48.0-24.cb.1.1, 88.6.0.?, $\ldots$ |
$[]$ |
| 31680.g1 |
31680cz1 |
31680.g |
31680cz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{7} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134400$ |
$1.581280$ |
$-7458308028872/859375$ |
$0.95809$ |
$4.49942$ |
$[0, 0, 0, -117228, -15450352]$ |
\(y^2=x^3-117228x-15450352\) |
440.2.0.? |
$[]$ |
| 31680.h1 |
31680m2 |
31680.h |
31680m |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.460708919$ |
$1$ |
|
$29$ |
$49152$ |
$1.089548$ |
$26894628304/9075$ |
$0.90390$ |
$3.88972$ |
$[0, 0, 0, -14268, 655792]$ |
\(y^2=x^3-14268x+655792\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(2, 792), (56, 180)]$ |
| 31680.h2 |
31680m1 |
31680.h |
31680m |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.842835677$ |
$1$ |
|
$15$ |
$24576$ |
$0.742975$ |
$-67108864/61875$ |
$1.12182$ |
$3.13582$ |
$[0, 0, 0, -768, 13192]$ |
\(y^2=x^3-768x+13192\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(2, 108), (14, 72)]$ |
| 31680.i1 |
31680co4 |
31680.i |
31680co |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$6.032540424$ |
$1$ |
|
$1$ |
$442368$ |
$2.389435$ |
$6749703004355978704/5671875$ |
$1.02435$ |
$5.75598$ |
$[0, 0, 0, -8999868, -10392076208]$ |
\(y^2=x^3-8999868x-10392076208\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.7, $\ldots$ |
$[(54089/2, 12238875/2)]$ |
| 31680.i2 |
31680co3 |
31680.i |
31680co |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$12.06508084$ |
$1$ |
|
$1$ |
$221184$ |
$2.042862$ |
$-26348629355659264/24169921875$ |
$1.09948$ |
$4.95346$ |
$[0, 0, 0, -562368, -162451208]$ |
\(y^2=x^3-562368x-162451208\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 22.6.0.a.1, $\ldots$ |
$[(813122/23, 620964720/23)]$ |
| 31680.i3 |
31680co2 |
31680.i |
31680co |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$2.010846808$ |
$1$ |
|
$3$ |
$147456$ |
$1.840128$ |
$13584145739344/1195803675$ |
$0.96019$ |
$4.49037$ |
$[0, 0, 0, -113628, -13575152]$ |
\(y^2=x^3-113628x-13575152\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.5, $\ldots$ |
$[(-196, 1080)]$ |
| 31680.i4 |
31680co1 |
31680.i |
31680co |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$4.021693616$ |
$1$ |
|
$3$ |
$73728$ |
$1.493555$ |
$72268906496/606436875$ |
$1.10748$ |
$3.96871$ |
$[0, 0, 0, 7872, -987752]$ |
\(y^2=x^3+7872x-987752\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 22.6.0.a.1, $\ldots$ |
$[(266, 4464)]$ |
| 31680.j1 |
31680k1 |
31680.j |
31680k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{5} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.997564$ |
$4924392082991104/49825153125$ |
$1.02219$ |
$4.79147$ |
$[0, 0, 0, -321528, -69557848]$ |
\(y^2=x^3-321528x-69557848\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 31680.j2 |
31680k2 |
31680.j |
31680k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{10} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$2.344139$ |
$-5095552972624/1052841796875$ |
$1.05049$ |
$4.96319$ |
$[0, 0, 0, -81948, -170852272]$ |
\(y^2=x^3-81948x-170852272\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
| 31680.k1 |
31680cn2 |
31680.k |
31680cn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$9.508295939$ |
$1$ |
|
$1$ |
$98304$ |
$1.613079$ |
$93141032522704/136125$ |
$0.97028$ |
$4.67614$ |
$[0, 0, 0, -215868, -38603792]$ |
\(y^2=x^3-215868x-38603792\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(27269/7, 1265697/7)]$ |
| 31680.k2 |
31680cn1 |
31680.k |
31680cn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$4.754147969$ |
$1$ |
|
$3$ |
$49152$ |
$1.266506$ |
$-353912203264/13921875$ |
$0.96269$ |
$3.87721$ |
$[0, 0, 0, -13368, -614792]$ |
\(y^2=x^3-13368x-614792\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(281, 4221)]$ |
| 31680.l1 |
31680j1 |
31680.l |
31680j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.695454$ |
$379275264/15125$ |
$1.01554$ |
$3.21099$ |
$[0, 0, 0, -1368, 18792]$ |
\(y^2=x^3-1368x+18792\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 31680.l2 |
31680j2 |
31680.l |
31680j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.042027$ |
$2122416/171875$ |
$1.06651$ |
$3.45424$ |
$[0, 0, 0, 612, 68688]$ |
\(y^2=x^3+612x+68688\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
| 31680.m1 |
31680l2 |
31680.m |
31680l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.135788$ |
$3484156096/1830125$ |
$0.94957$ |
$3.55875$ |
$[0, 0, 0, -4548, 35872]$ |
\(y^2=x^3-4548x+35872\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ |
$[]$ |
| 31680.m2 |
31680l1 |
31680.m |
31680l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.789215$ |
$2961169856/1890625$ |
$0.95017$ |
$3.14176$ |
$[0, 0, 0, 1077, 4372]$ |
\(y^2=x^3+1077x+4372\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 132.12.0.?, $\ldots$ |
$[]$ |
| 31680.n1 |
31680o1 |
31680.n |
31680o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.894282$ |
$15657723904/49005$ |
$0.93143$ |
$3.56999$ |
$[0, 0, 0, -4728, -124792]$ |
\(y^2=x^3-4728x-124792\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 31680.n2 |
31680o2 |
31680.n |
31680o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.240856$ |
$-192143824/1804275$ |
$0.92027$ |
$3.68757$ |
$[0, 0, 0, -2748, -230128]$ |
\(y^2=x^3-2748x-230128\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
| 31680.o1 |
31680n1 |
31680.o |
31680n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{14} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.734516$ |
$9028656748079104/3969405$ |
$1.02473$ |
$4.84997$ |
$[0, 0, 0, -393528, 95019208]$ |
\(y^2=x^3-393528x+95019208\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 31680.o2 |
31680n2 |
31680.o |
31680n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{14} \cdot 3^{22} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.081089$ |
$-555816294307024/11837848275$ |
$0.98162$ |
$4.85199$ |
$[0, 0, 0, -391548, 96022672]$ |
\(y^2=x^3-391548x+96022672\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
| 31680.p1 |
31680ba2 |
31680.p |
31680ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$4.323006445$ |
$1$ |
|
$3$ |
$32768$ |
$0.996456$ |
$5702413264/5445$ |
$0.88669$ |
$3.74006$ |
$[0, 0, 0, -8508, -301808]$ |
\(y^2=x^3-8508x-301808\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(173, 1845)]$ |
| 31680.p2 |
31680ba1 |
31680.p |
31680ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.161503222$ |
$1$ |
|
$5$ |
$16384$ |
$0.649882$ |
$-10061824/22275$ |
$0.87906$ |
$3.01264$ |
$[0, 0, 0, -408, -6968]$ |
\(y^2=x^3-408x-6968\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(38, 180)]$ |
| 31680.q1 |
31680y2 |
31680.q |
31680y |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{10} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.755816820$ |
$1$ |
|
$5$ |
$196608$ |
$1.760260$ |
$2184181167184/717482205$ |
$0.95863$ |
$4.31401$ |
$[0, 0, 0, -61788, -3887152]$ |
\(y^2=x^3-61788x-3887152\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(-112, 1276)]$ |
| 31680.q2 |
31680y1 |
31680.q |
31680y |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{14} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.377908410$ |
$1$ |
|
$5$ |
$98304$ |
$1.413685$ |
$203269830656/218317275$ |
$0.98679$ |
$3.81736$ |
$[0, 0, 0, 11112, -417112]$ |
\(y^2=x^3+11112x-417112\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(49, 495)]$ |
| 31680.r1 |
31680cy1 |
31680.r |
31680cy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.534793$ |
$10061824/5445$ |
$0.90322$ |
$2.86077$ |
$[0, 0, 0, -408, -808]$ |
\(y^2=x^3-408x-808\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 31680.r2 |
31680cy2 |
31680.r |
31680cy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.881367$ |
$35969456/22275$ |
$0.88205$ |
$3.25123$ |
$[0, 0, 0, 1572, -6352]$ |
\(y^2=x^3+1572x-6352\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
| 31680.s1 |
31680z2 |
31680.s |
31680z |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{6} \cdot 5 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.991262078$ |
$1$ |
|
$5$ |
$16384$ |
$0.623811$ |
$5256144/605$ |
$0.79186$ |
$3.06565$ |
$[0, 0, 0, -828, 8208]$ |
\(y^2=x^3-828x+8208\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(21, 9)]$ |
| 31680.s2 |
31680z1 |
31680.s |
31680z |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.995631039$ |
$1$ |
|
$7$ |
$8192$ |
$0.277237$ |
$55296/275$ |
$0.96856$ |
$2.55426$ |
$[0, 0, 0, 72, 648]$ |
\(y^2=x^3+72x+648\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(6, 36)]$ |
| 31680.t1 |
31680h1 |
31680.t |
31680h |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5 \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.781921$ |
$-117649/440$ |
$0.93815$ |
$3.16050$ |
$[0, 0, 0, -588, -14992]$ |
\(y^2=x^3-588x-14992\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 330.8.0.?, 440.2.0.?, 1320.16.0.? |
$[]$ |
| 31680.t2 |
31680h2 |
31680.t |
31680h |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.331228$ |
$80062991/332750$ |
$0.92204$ |
$3.77174$ |
$[0, 0, 0, 5172, 355952]$ |
\(y^2=x^3+5172x+355952\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 330.8.0.?, 440.2.0.?, 1320.16.0.? |
$[]$ |
| 31680.u1 |
31680ci4 |
31680.u |
31680ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{19} \cdot 3^{26} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$4.092536332$ |
$1$ |
|
$3$ |
$983040$ |
$2.657009$ |
$7981893677157049/1917731420550$ |
$1.01586$ |
$5.37315$ |
$[0, 0, 0, -2398188, 1093170512]$ |
\(y^2=x^3-2398188x+1093170512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$ |
$[(506, 3040)]$ |
