| 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 |
| 58800.a1 |
58800gh2 |
58800.a |
58800gh |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$6.676060309$ |
$1$ |
|
$0$ |
$622080$ |
$1.932358$ |
$266916252066900625/162$ |
$1.11489$ |
$5.05870$ |
$[0, -1, 0, -2296408, -1338669968]$ |
\(y^2=x^3-x^2-2296408x-1338669968\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 420.8.0.?, 840.16.0.? |
$[(-1262891/38, 531/38)]$ |
| 58800.a2 |
58800gh1 |
58800.a |
58800gh |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$2.225353436$ |
$1$ |
|
$0$ |
$207360$ |
$1.383051$ |
$505318200625/4251528$ |
$1.07784$ |
$3.85880$ |
$[0, -1, 0, -28408, -1820048]$ |
\(y^2=x^3-x^2-28408x-1820048\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 420.8.0.?, 840.16.0.? |
$[(-371/2, 729/2)]$ |
| 58800.b1 |
58800gr2 |
58800.b |
58800gr |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$3.652924411$ |
$1$ |
|
$2$ |
$21772800$ |
$3.710033$ |
$266916252066900625/162$ |
$1.11489$ |
$7.00118$ |
$[0, -1, 0, -2813100208, 57429232078912]$ |
\(y^2=x^3-x^2-2813100208x+57429232078912\) |
3.4.0.a.1, 8.2.0.b.1, 12.8.0-3.a.1.2, 24.16.0-24.b.1.6 |
$[(30688, 19944)]$ |
| 58800.b2 |
58800gr1 |
58800.b |
58800gr |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.217641470$ |
$1$ |
|
$4$ |
$7257600$ |
$3.160725$ |
$505318200625/4251528$ |
$1.07784$ |
$5.80127$ |
$[0, -1, 0, -34800208, 78452158912]$ |
\(y^2=x^3-x^2-34800208x+78452158912\) |
3.4.0.a.1, 8.2.0.b.1, 12.8.0-3.a.1.1, 24.16.0-24.b.1.2 |
$[(5992, 291600)]$ |
| 58800.c1 |
58800gi3 |
58800.c |
58800gi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$10.65826703$ |
$1$ |
|
$1$ |
$995328$ |
$2.132877$ |
$189123395584/16078125$ |
$1.04346$ |
$4.55935$ |
$[0, -1, 0, -369133, -79606988]$ |
\(y^2=x^3-x^2-369133x-79606988\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.1, 20.6.0.b.1, $\ldots$ |
$[(-170652/23, 29296100/23)]$ |
| 58800.c2 |
58800gi1 |
58800.c |
58800gi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$3.552755679$ |
$1$ |
|
$3$ |
$331776$ |
$1.583570$ |
$1594753024/4725$ |
$1.00209$ |
$4.12448$ |
$[0, -1, 0, -75133, 7931512]$ |
\(y^2=x^3-x^2-75133x+7931512\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.7, 20.6.0.b.1, $\ldots$ |
$[(72, 1700)]$ |
| 58800.c3 |
58800gi2 |
58800.c |
58800gi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1.776377839$ |
$1$ |
|
$3$ |
$663552$ |
$1.930143$ |
$-20720464/178605$ |
$0.91232$ |
$4.23332$ |
$[0, -1, 0, -44508, 14424012]$ |
\(y^2=x^3-x^2-44508x+14424012\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.7, 20.6.0.a.1, $\ldots$ |
$[(677, 17150)]$ |
| 58800.c4 |
58800gi4 |
58800.c |
58800gi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$5.329133518$ |
$1$ |
|
$1$ |
$1990656$ |
$2.479450$ |
$14647977776/132355125$ |
$0.97903$ |
$4.82310$ |
$[0, -1, 0, 396492, -367481988]$ |
\(y^2=x^3-x^2+396492x-367481988\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.1, 20.6.0.a.1, $\ldots$ |
$[(40053/2, 8029875/2)]$ |
| 58800.d1 |
58800gg2 |
58800.d |
58800gg |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3 \cdot 5^{10} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$10.89777601$ |
$1$ |
|
$2$ |
$3732480$ |
$2.856140$ |
$-7620530425/526848$ |
$0.98174$ |
$5.36834$ |
$[0, -1, 0, -6870208, -7331161088]$ |
\(y^2=x^3-x^2-6870208x-7331161088\) |
3.4.0.a.1, 120.8.0.?, 168.8.0.?, 420.8.0.?, 840.16.0.? |
$[(3255306, 5873372162)]$ |
| 58800.d2 |
58800gg1 |
58800.d |
58800gg |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{10} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$3.632592003$ |
$1$ |
|
$2$ |
$1244160$ |
$2.306831$ |
$2595575/1512$ |
$1.04999$ |
$4.63098$ |
$[0, -1, 0, 479792, -10561088]$ |
\(y^2=x^3-x^2+479792x-10561088\) |
3.4.0.a.1, 120.8.0.?, 168.8.0.?, 420.8.0.?, 840.16.0.? |
$[(306, 12838)]$ |
| 58800.e1 |
58800gj2 |
58800.e |
58800gj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1260$ |
$48$ |
$0$ |
$13.76350884$ |
$1$ |
|
$0$ |
$163296$ |
$1.228172$ |
$-30866268160/3$ |
$1.11642$ |
$4.06054$ |
$[0, -1, 0, -59453, -5559903]$ |
\(y^2=x^3-x^2-59453x-5559903\) |
3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 420.16.0.?, 1260.48.0.? |
$[(1268209/67, 100987286/67)]$ |
| 58800.e2 |
58800gj1 |
58800.e |
58800gj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$48$ |
$0$ |
$4.587836281$ |
$1$ |
|
$2$ |
$54432$ |
$0.678865$ |
$-40960/27$ |
$1.02991$ |
$2.89752$ |
$[0, -1, 0, -653, -9183]$ |
\(y^2=x^3-x^2-653x-9183\) |
3.4.0.a.1, 6.24.0.c.1, 420.48.0.? |
$[(181, 2402)]$ |
| 58800.f1 |
58800gk1 |
58800.f |
58800gk |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{26} \cdot 3 \cdot 5^{11} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$4.847545197$ |
$1$ |
|
$3$ |
$1290240$ |
$2.253880$ |
$393349474783/153600000$ |
$1.02445$ |
$4.59940$ |
$[0, -1, 0, -427408, 61477312]$ |
\(y^2=x^3-x^2-427408x+61477312\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(26, 7098)]$ |
| 58800.f2 |
58800gk2 |
58800.f |
58800gk |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{2} \cdot 5^{16} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.423772598$ |
$1$ |
|
$3$ |
$2580480$ |
$2.600452$ |
$12801408679457/11250000000$ |
$1.04802$ |
$4.91652$ |
$[0, -1, 0, 1364592, 441381312]$ |
\(y^2=x^3-x^2+1364592x+441381312\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-168, 14400)]$ |
| 58800.g1 |
58800ci1 |
58800.g |
58800ci |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$8.001017768$ |
$1$ |
|
$0$ |
$1032192$ |
$2.303570$ |
$-427361108435200/301327047$ |
$1.03906$ |
$4.96960$ |
$[0, -1, 0, -1656608, -820635213]$ |
\(y^2=x^3-x^2-1656608x-820635213\) |
14.2.0.a.1 |
$[(2038151/31, 2148510987/31)]$ |
| 58800.h1 |
58800gc1 |
58800.h |
58800gc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.515208090$ |
$1$ |
|
$0$ |
$387072$ |
$1.806326$ |
$-805661175040/729$ |
$1.02199$ |
$4.63668$ |
$[0, -1, 0, -489918, 132151167]$ |
\(y^2=x^3-x^2-489918x+132151167\) |
14.2.0.a.1 |
$[(1749/2, 9261/2)]$ |
| 58800.i1 |
58800hn1 |
58800.i |
58800hn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.638088$ |
$-805661175040/729$ |
$1.02199$ |
$4.45285$ |
$[0, -1, 0, -249958, -48017213]$ |
\(y^2=x^3-x^2-249958x-48017213\) |
14.2.0.a.1 |
$[]$ |
| 58800.j1 |
58800fa2 |
58800.j |
58800fa |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$840$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1975680$ |
$2.605297$ |
$-6329617441/279936$ |
$1.03234$ |
$5.11604$ |
$[0, -1, 0, -2764008, 1835974512]$ |
\(y^2=x^3-x^2-2764008x+1835974512\) |
7.24.0.a.1, 24.2.0.b.1, 140.48.0.?, 168.48.2.?, 840.96.2.? |
$[]$ |
| 58800.j2 |
58800fa1 |
58800.j |
58800fa |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$840$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$282240$ |
$1.632343$ |
$-2401/6$ |
$1.11692$ |
$3.91521$ |
$[0, -1, 0, -20008, -2505488]$ |
\(y^2=x^3-x^2-20008x-2505488\) |
7.24.0.a.2, 24.2.0.b.1, 140.48.0.?, 168.48.2.?, 840.96.2.? |
$[]$ |
| 58800.k1 |
58800bh2 |
58800.k |
58800bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{8} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.839275$ |
$1272112/75$ |
$0.82221$ |
$4.25893$ |
$[0, -1, 0, -122908, -15676688]$ |
\(y^2=x^3-x^2-122908x-15676688\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
| 58800.k2 |
58800bh1 |
58800.k |
58800bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.492702$ |
$2048/45$ |
$0.89768$ |
$3.74954$ |
$[0, -1, 0, 5717, -1013438]$ |
\(y^2=x^3-x^2+5717x-1013438\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 58800.l1 |
58800bg1 |
58800.l |
58800bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.989418$ |
$1950665639360512/492075$ |
$1.06723$ |
$4.86928$ |
$[0, -1, 0, -1147883, -472980738]$ |
\(y^2=x^3-x^2-1147883x-472980738\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
| 58800.l2 |
58800bg2 |
58800.l |
58800bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{18} \cdot 5^{7} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.335991$ |
$-120527903507632/1937102445$ |
$1.01998$ |
$4.87073$ |
$[0, -1, 0, -1143508, -476769488]$ |
\(y^2=x^3-x^2-1143508x-476769488\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 58800.m1 |
58800gb6 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$6.382650789$ |
$4$ |
$2$ |
$3$ |
$1572864$ |
$2.545025$ |
$53297461115137/147$ |
$1.05087$ |
$5.57798$ |
$[0, -1, 0, -15366808, -23180759888]$ |
\(y^2=x^3-x^2-15366808x-23180759888\) |
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, $\ldots$ |
$[(6018, 319774)]$ |
| 58800.m2 |
58800gb4 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.191325394$ |
$1$ |
|
$9$ |
$786432$ |
$2.198452$ |
$13027640977/21609$ |
$1.08149$ |
$4.82068$ |
$[0, -1, 0, -960808, -361655888]$ |
\(y^2=x^3-x^2-960808x-361655888\) |
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, $\ldots$ |
$[(-558, 650)]$ |
| 58800.m3 |
58800gb3 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$3.191325394$ |
$1$ |
|
$5$ |
$786432$ |
$2.198452$ |
$6570725617/45927$ |
$1.00160$ |
$4.75835$ |
$[0, -1, 0, -764808, 256136112]$ |
\(y^2=x^3-x^2-764808x+256136112\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.2, 28.12.0.h.1, $\ldots$ |
$[(618, 4374)]$ |
| 58800.m4 |
58800gb5 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$6.382650789$ |
$1$ |
|
$3$ |
$1572864$ |
$2.545025$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.90867$ |
$[0, -1, 0, -666808, -587447888]$ |
\(y^2=x^3-x^2-666808x-587447888\) |
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, $\ldots$ |
$[(5322, 382850)]$ |
| 58800.m5 |
58800gb2 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.595662697$ |
$1$ |
|
$13$ |
$393216$ |
$1.851879$ |
$7189057/3969$ |
$1.14862$ |
$4.13753$ |
$[0, -1, 0, -78808, -1799888]$ |
\(y^2=x^3-x^2-78808x-1799888\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.2, 24.48.0.w.2, $\ldots$ |
$[(418, 6174)]$ |
| 58800.m6 |
58800gb1 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$0.797831348$ |
$1$ |
|
$11$ |
$196608$ |
$1.505306$ |
$103823/63$ |
$0.97868$ |
$3.75166$ |
$[0, -1, 0, 19192, -231888]$ |
\(y^2=x^3-x^2+19192x-231888\) |
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, $\ldots$ |
$[(68, 1176)]$ |
| 58800.n1 |
58800hl2 |
58800.n |
58800hl |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.980970$ |
$1102736/147$ |
$0.81346$ |
$3.27469$ |
$[0, -1, 0, -3348, -64308]$ |
\(y^2=x^3-x^2-3348x-64308\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[]$ |
| 58800.n2 |
58800hl1 |
58800.n |
58800hl |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.634397$ |
$16384/63$ |
$0.90937$ |
$2.79652$ |
$[0, -1, 0, 327, -5508]$ |
\(y^2=x^3-x^2+327x-5508\) |
2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 58800.o1 |
58800bf4 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$2.413010$ |
$32779037733124/315$ |
$0.98701$ |
$5.40748$ |
$[0, -1, 0, -8232408, 9094305312]$ |
\(y^2=x^3-x^2-8232408x+9094305312\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 48.48.0-48.h.1.18, 80.48.0.?, $\ldots$ |
$[]$ |
| 58800.o2 |
58800bf6 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3 \cdot 5^{14} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$2.759583$ |
$14695548366242/57421875$ |
$0.98648$ |
$5.39754$ |
$[0, -1, 0, -7938408, -8577152688]$ |
\(y^2=x^3-x^2-7938408x-8577152688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 24.24.0.bj.1, $\ldots$ |
$[]$ |
| 58800.o3 |
58800bf3 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$2.413010$ |
$23366901604/13505625$ |
$1.08406$ |
$4.74764$ |
$[0, -1, 0, -735408, 8823312]$ |
\(y^2=x^3-x^2-735408x+8823312\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.e.1.13, 40.48.0-40.h.1.3, $\ldots$ |
$[]$ |
| 58800.o4 |
58800bf2 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.066437$ |
$32082281296/99225$ |
$0.92349$ |
$4.65027$ |
$[0, -1, 0, -514908, 142005312]$ |
\(y^2=x^3-x^2-514908x+142005312\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.l.1.17, 40.48.0-40.h.2.24, 56.48.0-56.h.2.32, $\ldots$ |
$[]$ |
| 58800.o5 |
58800bf1 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.719862$ |
$-24918016/229635$ |
$0.96130$ |
$4.00337$ |
$[0, -1, 0, -18783, 4082562]$ |
\(y^2=x^3-x^2-18783x+4082562\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 40.48.0-40.ca.1.6, 48.48.0-48.h.1.2, $\ldots$ |
$[]$ |
| 58800.o6 |
58800bf5 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3 \cdot 5^{8} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.759583$ |
$746185003198/432360075$ |
$1.10067$ |
$5.12616$ |
$[0, -1, 0, 2939592, 67623312]$ |
\(y^2=x^3-x^2+2939592x+67623312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 24.24.0.bn.1, $\ldots$ |
$[]$ |
| 58800.p1 |
58800k1 |
58800.p |
58800k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$9.755942396$ |
$1$ |
|
$0$ |
$48384$ |
$0.781055$ |
$-71680/27$ |
$0.82588$ |
$3.02680$ |
$[0, -1, 0, -1143, -18738]$ |
\(y^2=x^3-x^2-1143x-18738\) |
6.2.0.a.1 |
$[(16754/5, 2164142/5)]$ |
| 58800.q1 |
58800cg1 |
58800.q |
58800cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.224293518$ |
$1$ |
|
$2$ |
$34560$ |
$0.612820$ |
$-71680/27$ |
$0.82588$ |
$2.84297$ |
$[0, -1, 0, -583, 7162]$ |
\(y^2=x^3-x^2-583x+7162\) |
6.2.0.a.1 |
$[(6, 62)]$ |
| 58800.r1 |
58800l1 |
58800.r |
58800l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.049067869$ |
$1$ |
|
$2$ |
$92160$ |
$0.966979$ |
$-50176/75$ |
$0.85223$ |
$3.19480$ |
$[0, -1, 0, -1633, 48637]$ |
\(y^2=x^3-x^2-1633x+48637\) |
6.2.0.a.1 |
$[(12, 175)]$ |
| 58800.s1 |
58800fv2 |
58800.s |
58800fv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{27} \cdot 3 \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$25.58706059$ |
$1$ |
|
$0$ |
$3265920$ |
$2.917740$ |
$-16591834777/98304$ |
$1.06741$ |
$5.55240$ |
$[0, -1, 0, -13945808, -20143053888]$ |
\(y^2=x^3-x^2-13945808x-20143053888\) |
3.4.0.a.1, 24.8.0.d.1, 420.8.0.?, 840.16.0.? |
$[(5116847384824/29305, 8280225254921823232/29305)]$ |
| 58800.s2 |
58800fv1 |
58800.s |
58800fv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$8.529020198$ |
$1$ |
|
$0$ |
$1088640$ |
$2.368435$ |
$596183/864$ |
$1.03569$ |
$4.65676$ |
$[0, -1, 0, 460192, -147525888]$ |
\(y^2=x^3-x^2+460192x-147525888\) |
3.4.0.a.1, 24.8.0.d.1, 420.8.0.?, 840.16.0.? |
$[(37744/5, 7892128/5)]$ |
| 58800.t1 |
58800j1 |
58800.t |
58800j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.183476552$ |
$1$ |
|
$10$ |
$322560$ |
$1.743444$ |
$68782/45$ |
$0.85331$ |
$4.00543$ |
$[0, -1, 0, 48592, 1473312]$ |
\(y^2=x^3-x^2+48592x+1473312\) |
40.2.0.a.1 |
$[(572, 14700)]$ |
| 58800.u1 |
58800bb1 |
58800.u |
58800bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.224879564$ |
$1$ |
|
$6$ |
$55296$ |
$0.822817$ |
$-160000/3087$ |
$1.03020$ |
$3.02190$ |
$[0, -1, 0, -408, 18747]$ |
\(y^2=x^3-x^2-408x+18747\) |
14.2.0.a.1 |
$[(69/2, 1029/2), (-9, 147)]$ |
| 58800.v1 |
58800bc1 |
58800.v |
58800bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67200$ |
$0.905139$ |
$68782/243$ |
$0.97191$ |
$3.09072$ |
$[0, -1, 0, 992, -27488]$ |
\(y^2=x^3-x^2+992x-27488\) |
24.2.0.b.1 |
$[]$ |
| 58800.w1 |
58800fw1 |
58800.w |
58800fw |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1.347644770$ |
$1$ |
|
$4$ |
$248832$ |
$1.519903$ |
$-77626969/182250$ |
$0.95834$ |
$3.79301$ |
$[0, -1, 0, -13008, 1288512]$ |
\(y^2=x^3-x^2-13008x+1288512\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 168.8.0.?, 420.8.0.?, $\ldots$ |
$[(-78, 1350)]$ |
| 58800.w2 |
58800fw2 |
58800.w |
58800fw |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{15} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$4.042934310$ |
$1$ |
|
$2$ |
$746496$ |
$2.069210$ |
$50872947671/140625000$ |
$1.01195$ |
$4.35696$ |
$[0, -1, 0, 112992, -28447488]$ |
\(y^2=x^3-x^2+112992x-28447488\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 168.8.0.?, 420.8.0.?, $\ldots$ |
$[(762, 22350)]$ |
| 58800.x1 |
58800hf4 |
58800.x |
58800hf |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$3456000$ |
$2.936844$ |
$502270291349/1889568$ |
$1.07575$ |
$5.59289$ |
$[0, -1, 0, -16229208, 25088316912]$ |
\(y^2=x^3-x^2-16229208x+25088316912\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$ |
$[]$ |
| 58800.x2 |
58800hf2 |
58800.x |
58800hf |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$691200$ |
$2.132122$ |
$131872229/18$ |
$1.12852$ |
$4.84211$ |
$[0, -1, 0, -1039208, -407363088]$ |
\(y^2=x^3-x^2-1039208x-407363088\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$ |
$[]$ |
| 58800.x3 |
58800hf3 |
58800.x |
58800hf |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1728000$ |
$2.590267$ |
$-19465109/248832$ |
$1.09754$ |
$4.95376$ |
$[0, -1, 0, -549208, 752956912]$ |
\(y^2=x^3-x^2-549208x+752956912\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$ |
$[]$ |
