| 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 |
| 48960.a1 |
48960eo2 |
48960.a |
48960eo |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$11.39724325$ |
$1$ |
|
$2$ |
$276480$ |
$1.523083$ |
$-2608300961238784/6375$ |
$0.98278$ |
$4.53947$ |
$[0, 0, 0, -260148, -51071528]$ |
\(y^2=x^3-260148x-51071528\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 510.8.0.?, 2040.16.0.? |
$[(266933, 137912175)]$ |
| 48960.a2 |
48960eo1 |
48960.a |
48960eo |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$3.799081085$ |
$1$ |
|
$2$ |
$92160$ |
$0.973777$ |
$-4447738624/663255$ |
$0.87350$ |
$3.33076$ |
$[0, 0, 0, -3108, -74792]$ |
\(y^2=x^3-3108x-74792\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 510.8.0.?, 2040.16.0.? |
$[(101, 801)]$ |
| 48960.b1 |
48960bt4 |
48960.b |
48960bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.389561$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.28204$ |
$[0, 0, 0, -3767628, 2814779248]$ |
\(y^2=x^3-3767628x+2814779248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[ ]$ |
| 48960.b2 |
48960bt2 |
48960.b |
48960bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.042988$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.51996$ |
$[0, 0, 0, -242508, 41214832]$ |
\(y^2=x^3-242508x+41214832\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[ ]$ |
| 48960.b3 |
48960bt1 |
48960.b |
48960bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{30} \cdot 3^{8} \cdot 5^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.696413$ |
$114013572049/15667200$ |
$0.93207$ |
$4.12343$ |
$[0, 0, 0, -58188, -4717712]$ |
\(y^2=x^3-58188x-4717712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 34.6.0.a.1, $\ldots$ |
$[ ]$ |
| 48960.b4 |
48960bt3 |
48960.b |
48960bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{21} \cdot 3^{14} \cdot 5^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.389561$ |
$21464092074671/109596256200$ |
$1.00093$ |
$4.79896$ |
$[0, 0, 0, 333492, 207333232]$ |
\(y^2=x^3+333492x+207333232\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[ ]$ |
| 48960.c1 |
48960dn2 |
48960.c |
48960dn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.590934883$ |
$1$ |
|
$17$ |
$65536$ |
$1.015434$ |
$82142689923/425$ |
$0.98211$ |
$3.78786$ |
$[0, 0, 0, -17388, 882512]$ |
\(y^2=x^3-17388x+882512\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(74, 32), (-22, 1120)]$ |
| 48960.c2 |
48960dn1 |
48960.c |
48960dn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.590934883$ |
$1$ |
|
$15$ |
$32768$ |
$0.668861$ |
$-19034163/1445$ |
$0.82765$ |
$3.02419$ |
$[0, 0, 0, -1068, 14288]$ |
\(y^2=x^3-1068x+14288\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(13, 51), (-4, 136)]$ |
| 48960.d1 |
48960cj4 |
48960.d |
48960cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{17} \cdot 3^{13} \cdot 5^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$15.84395412$ |
$1$ |
|
$1$ |
$13762560$ |
$3.662243$ |
$1059623036730633329075378/154307373046875$ |
$1.05545$ |
$6.82441$ |
$[0, 0, 0, -971005548, -11646102977872]$ |
\(y^2=x^3-971005548x-11646102977872\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[(45400568/31, 206231737084/31)]$ |
| 48960.d2 |
48960cj3 |
48960.d |
48960cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{17} \cdot 3^{34} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$15.84395412$ |
$1$ |
|
$1$ |
$13762560$ |
$3.662243$ |
$1664865424893526702418/826424127435466125$ |
$1.06099$ |
$6.22657$ |
$[0, 0, 0, -112883628, 174100488752]$ |
\(y^2=x^3-112883628x+174100488752\) |
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.y.1.10, $\ldots$ |
$[(57354968/37, 420698254516/37)]$ |
| 48960.d3 |
48960cj2 |
48960.d |
48960cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{16} \cdot 3^{20} \cdot 5^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$7.921977064$ |
$1$ |
|
$5$ |
$6881280$ |
$3.315670$ |
$521902963282042184836/6241849278890625$ |
$1.03337$ |
$6.05496$ |
$[0, 0, 0, -60863628, -180863183248]$ |
\(y^2=x^3-60863628x-180863183248\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 24.24.0-24.b.1.3, $\ldots$ |
$[(41672, 8345572)]$ |
| 48960.d4 |
48960cj1 |
48960.d |
48960cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{14} \cdot 3^{13} \cdot 5^{3} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$3.960988532$ |
$1$ |
|
$5$ |
$3440640$ |
$2.969097$ |
$-3579968623693264/1906997690433375$ |
$1.07223$ |
$5.45765$ |
$[0, 0, 0, -728508, -7265118832]$ |
\(y^2=x^3-728508x-7265118832\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 30.6.0.a.1, $\ldots$ |
$[(2368, 65484)]$ |
| 48960.e1 |
48960br2 |
48960.e |
48960br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{12} \cdot 3^{14} \cdot 5 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$81920$ |
$1.037830$ |
$1111934656/557685$ |
$0.90473$ |
$3.30953$ |
$[0, 0, 0, -3108, -24352]$ |
\(y^2=x^3-3108x-24352\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 170.6.0.?, 340.12.0.?, $\ldots$ |
$[ ]$ |
| 48960.e2 |
48960br1 |
48960.e |
48960br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40960$ |
$0.691257$ |
$873722816/585225$ |
$0.90537$ |
$2.90208$ |
$[0, 0, 0, 717, -2932]$ |
\(y^2=x^3+717x-2932\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 340.12.0.?, 680.24.0.?, $\ldots$ |
$[ ]$ |
| 48960.f1 |
48960bs1 |
48960.f |
48960bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.444334$ |
$151732224/85$ |
$1.02320$ |
$2.99671$ |
$[0, 0, 0, -1008, -12312]$ |
\(y^2=x^3-1008x-12312\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 170.6.0.?, 340.24.0.?, $\ldots$ |
$[ ]$ |
| 48960.f2 |
48960bs2 |
48960.f |
48960bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.790907$ |
$-5256144/7225$ |
$0.89008$ |
$3.05471$ |
$[0, 0, 0, -828, -16848]$ |
\(y^2=x^3-828x-16848\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 340.12.0.?, 680.24.0.?, $\ldots$ |
$[ ]$ |
| 48960.g1 |
48960i2 |
48960.g |
48960i |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$6.560846634$ |
$1$ |
|
$3$ |
$491520$ |
$1.945297$ |
$294172502025843/2656250000$ |
$1.03353$ |
$4.54568$ |
$[0, 0, 0, -266028, 52399152]$ |
\(y^2=x^3-266028x+52399152\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(1432, 51068)]$ |
| 48960.g2 |
48960i1 |
48960.g |
48960i |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{26} \cdot 3^{3} \cdot 5^{5} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$3.280423317$ |
$1$ |
|
$5$ |
$245760$ |
$1.598724$ |
$-1847284083/231200000$ |
$1.07629$ |
$3.93477$ |
$[0, 0, 0, -4908, 1950768]$ |
\(y^2=x^3-4908x+1950768\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(-104, 1156)]$ |
| 48960.h1 |
48960dq2 |
48960.h |
48960dq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.247367808$ |
$1$ |
|
$7$ |
$73728$ |
$0.939589$ |
$4000752/1445$ |
$0.74512$ |
$3.22200$ |
$[0, 0, 0, -2268, 25488]$ |
\(y^2=x^3-2268x+25488\) |
2.3.0.a.1, 60.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(46, 136)]$ |
| 48960.h2 |
48960dq1 |
48960.h |
48960dq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.494735617$ |
$1$ |
|
$5$ |
$36864$ |
$0.593015$ |
$442368/425$ |
$0.78591$ |
$2.76132$ |
$[0, 0, 0, 432, 2808]$ |
\(y^2=x^3+432x+2808\) |
2.3.0.a.1, 60.6.0.b.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(-2, 44)]$ |
| 48960.i1 |
48960o1 |
48960.i |
48960o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.342828$ |
$7211429568/36125$ |
$0.95020$ |
$2.79233$ |
$[0, 0, 0, -483, 4068]$ |
\(y^2=x^3-483x+4068\) |
2.3.0.a.1, 60.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[ ]$ |
| 48960.i2 |
48960o2 |
48960.i |
48960o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.689402$ |
$-11852352/265625$ |
$0.99754$ |
$2.92475$ |
$[0, 0, 0, -228, 8352]$ |
\(y^2=x^3-228x+8352\) |
2.3.0.a.1, 60.6.0.b.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[ ]$ |
| 48960.j1 |
48960en4 |
48960.j |
48960en |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$2.816180879$ |
$1$ |
|
$5$ |
$163840$ |
$1.266077$ |
$3638052872/860625$ |
$0.88270$ |
$3.61186$ |
$[0, 0, 0, -9228, -262352]$ |
\(y^2=x^3-9228x-262352\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(-51, 275)]$ |
| 48960.j2 |
48960en2 |
48960.j |
48960en |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1.408090439$ |
$1$ |
|
$11$ |
$81920$ |
$0.919503$ |
$1111934656/65025$ |
$0.96358$ |
$3.30953$ |
$[0, 0, 0, -3108, 63232]$ |
\(y^2=x^3-3108x+63232\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 136.12.0.?, $\ldots$ |
$[(21, 85)]$ |
| 48960.j3 |
48960en1 |
48960.j |
48960en |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$2.816180879$ |
$1$ |
|
$3$ |
$40960$ |
$0.572929$ |
$68117264704/255$ |
$1.00012$ |
$3.30548$ |
$[0, 0, 0, -3063, 65248]$ |
\(y^2=x^3-3063x+65248\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(68, 414)]$ |
| 48960.j4 |
48960en3 |
48960.j |
48960en |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$2.816180879$ |
$1$ |
|
$5$ |
$163840$ |
$1.266077$ |
$55742968/1252815$ |
$0.91665$ |
$3.56137$ |
$[0, 0, 0, 2292, 259792]$ |
\(y^2=x^3+2292x+259792\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(-16, 468)]$ |
| 48960.k1 |
48960j1 |
48960.k |
48960j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.806981554$ |
$1$ |
|
$3$ |
$9216$ |
$-0.093429$ |
$16003008/425$ |
$0.75920$ |
$2.22646$ |
$[0, 0, 0, -63, -188]$ |
\(y^2=x^3-63x-188\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(12, 28)]$ |
| 48960.k2 |
48960j2 |
48960.k |
48960j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.403490777$ |
$1$ |
|
$5$ |
$18432$ |
$0.253145$ |
$1728/1445$ |
$0.90045$ |
$2.43949$ |
$[0, 0, 0, 12, -608]$ |
\(y^2=x^3+12x-608\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(14, 48)]$ |
| 48960.l1 |
48960dp1 |
48960.l |
48960dp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$2.415673407$ |
$1$ |
|
$2$ |
$12288$ |
$0.198589$ |
$-5038848/2125$ |
$0.81216$ |
$2.42689$ |
$[0, 0, 0, -108, -568]$ |
\(y^2=x^3-108x-568\) |
510.2.0.? |
$[(13, 15)]$ |
| 48960.m1 |
48960f1 |
48960.m |
48960f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$5.020711924$ |
$1$ |
|
$2$ |
$40960$ |
$0.880364$ |
$-22864543488/7099285$ |
$1.02882$ |
$3.19571$ |
$[0, 0, 0, -1788, -36072]$ |
\(y^2=x^3-1788x-36072\) |
510.2.0.? |
$[(237, 3585)]$ |
| 48960.n1 |
48960ch1 |
48960.n |
48960ch |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{13} \cdot 5^{13} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$15.24356255$ |
$1$ |
|
$0$ |
$1118208$ |
$2.428108$ |
$3086803246205696/45384521484375$ |
$1.03320$ |
$4.85092$ |
$[0, 0, 0, 275172, 274477048]$ |
\(y^2=x^3+275172x+274477048\) |
510.2.0.? |
$[(12490949/7, 44146276173/7)]$ |
| 48960.o1 |
48960ci1 |
48960.o |
48960ci |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{19} \cdot 5 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$7.321516206$ |
$1$ |
|
$0$ |
$159744$ |
$1.418236$ |
$-951468070144/135517455$ |
$0.93077$ |
$3.82678$ |
$[0, 0, 0, -18588, -1088872]$ |
\(y^2=x^3-18588x-1088872\) |
510.2.0.? |
$[(118597/23, 29832867/23)]$ |
| 48960.p1 |
48960ej3 |
48960.p |
48960ej |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{42} \cdot 3^{6} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$7.101648146$ |
$1$ |
|
$3$ |
$2211840$ |
$2.706505$ |
$8010684753304969/4456448000000$ |
$1.04256$ |
$5.15688$ |
$[0, 0, 0, -2401068, -281682992]$ |
\(y^2=x^3-2401068x-281682992\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(80684, 22914000)]$ |
| 48960.p2 |
48960ej1 |
48960.p |
48960ej |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$2.367216048$ |
$1$ |
|
$5$ |
$737280$ |
$2.157196$ |
$1841373668746009/31443200$ |
$0.98941$ |
$5.02073$ |
$[0, 0, 0, -1470828, 686569552]$ |
\(y^2=x^3-1470828x+686569552\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(716, 720)]$ |
| 48960.p3 |
48960ej2 |
48960.p |
48960ej |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$4.734432097$ |
$1$ |
|
$3$ |
$1474560$ |
$2.503773$ |
$-1673672305534489/241375690000$ |
$0.99210$ |
$5.03249$ |
$[0, 0, 0, -1424748, 731598928]$ |
\(y^2=x^3-1424748x+731598928\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0-12.d.1.7, $\ldots$ |
$[(204, 21200)]$ |
| 48960.p4 |
48960ej4 |
48960.p |
48960ej |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{30} \cdot 3^{6} \cdot 5^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$14.20329629$ |
$1$ |
|
$1$ |
$4423680$ |
$3.053078$ |
$479958568556831351/289000000000000$ |
$1.05690$ |
$5.53590$ |
$[0, 0, 0, 9395412, -2230461488]$ |
\(y^2=x^3+9395412x-2230461488\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0-12.d.1.7, $\ldots$ |
$[(2049953/76, 14878352655/76)]$ |
| 48960.q1 |
48960cg1 |
48960.q |
48960cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.537515535$ |
$1$ |
|
$4$ |
$349440$ |
$1.845221$ |
$-34831225434312/177482125$ |
$0.98923$ |
$4.46155$ |
$[0, 0, 0, -195948, 33532272]$ |
\(y^2=x^3-195948x+33532272\) |
680.2.0.? |
$[(334, 2312)]$ |
| 48960.r1 |
48960e2 |
48960.r |
48960e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$3.196653318$ |
$1$ |
|
$5$ |
$294912$ |
$1.900841$ |
$6074394750936/4515625$ |
$1.09917$ |
$4.60422$ |
$[0, 0, 0, -328428, -72398448]$ |
\(y^2=x^3-328428x-72398448\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(-326, 152)]$ |
| 48960.r2 |
48960e1 |
48960.r |
48960e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$6.393306636$ |
$1$ |
|
$3$ |
$147456$ |
$1.554266$ |
$-5949419328/10440125$ |
$1.14311$ |
$3.89917$ |
$[0, 0, 0, -16308, -1609632]$ |
\(y^2=x^3-16308x-1609632\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(1606, 64144)]$ |
| 48960.s1 |
48960bo1 |
48960.s |
48960bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.009567$ |
$55742968/53125$ |
$0.84898$ |
$3.22492$ |
$[0, 0, 0, 2292, 33968]$ |
\(y^2=x^3+2292x+33968\) |
680.2.0.? |
$[ ]$ |
| 48960.t1 |
48960ey2 |
48960.t |
48960ey |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$0.994456011$ |
$1$ |
|
$21$ |
$57344$ |
$0.969181$ |
$1184287112/3825$ |
$1.00210$ |
$3.50793$ |
$[0, 0, 0, -6348, 194128]$ |
\(y^2=x^3-6348x+194128\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(26, 216), (42, 40)]$ |
| 48960.t2 |
48960ey1 |
48960.t |
48960ey |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$0.994456011$ |
$1$ |
|
$19$ |
$28672$ |
$0.622607$ |
$-438976/4335$ |
$1.01300$ |
$2.85177$ |
$[0, 0, 0, -228, 5632]$ |
\(y^2=x^3-228x+5632\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(2, 72), (12, 68)]$ |
| 48960.u1 |
48960ex2 |
48960.u |
48960ex |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{19} \cdot 3^{16} \cdot 5^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.797579$ |
$420021471169/50191650$ |
$0.94166$ |
$4.24418$ |
$[0, 0, 0, -89868, 9237008]$ |
\(y^2=x^3-89868x+9237008\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[ ]$ |
| 48960.u2 |
48960ex1 |
48960.u |
48960ex |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{20} \cdot 3^{11} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.451004$ |
$302111711/1404540$ |
$0.92029$ |
$3.75463$ |
$[0, 0, 0, 8052, 737552]$ |
\(y^2=x^3+8052x+737552\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[ ]$ |
| 48960.v1 |
48960bn2 |
48960.v |
48960bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.270695$ |
$12352022024896/1445$ |
$0.95550$ |
$4.17217$ |
$[0, 0, 0, -69348, -7029088]$ |
\(y^2=x^3-69348x-7029088\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 24.12.0-4.b.1.1, $\ldots$ |
$[ ]$ |
| 48960.v2 |
48960bn1 |
48960.v |
48960bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.924121$ |
$-191501383744/2088025$ |
$0.92014$ |
$3.40293$ |
$[0, 0, 0, -4323, -110428]$ |
\(y^2=x^3-4323x-110428\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 20.12.0.d.1, 60.24.0-20.d.1.1, $\ldots$ |
$[ ]$ |
| 48960.w1 |
48960ew2 |
48960.w |
48960ew |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.678799$ |
$-32391289681150609/1228250000000$ |
$1.00352$ |
$5.29213$ |
$[0, 0, 0, -3825228, -2972458352]$ |
\(y^2=x^3-3825228x-2972458352\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 510.8.0.?, 680.2.0.?, 2040.16.0.? |
$[ ]$ |
| 48960.w2 |
48960ew1 |
48960.w |
48960ew |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{39} \cdot 3^{6} \cdot 5^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$2.129494$ |
$7023836099951/4456448000$ |
$0.99857$ |
$4.50502$ |
$[0, 0, 0, 229812, -13163888]$ |
\(y^2=x^3+229812x-13163888\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 510.8.0.?, 680.2.0.?, 2040.16.0.? |
$[ ]$ |
| 48960.x1 |
48960bp1 |
48960.x |
48960bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$2.040468781$ |
$1$ |
|
$15$ |
$49152$ |
$0.931339$ |
$68417929/425$ |
$0.84846$ |
$3.43646$ |
$[0, 0, 0, -4908, 131632]$ |
\(y^2=x^3-4908x+131632\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 34.6.0.a.1, 68.12.0.e.1, $\ldots$ |
$[(6, 320), (36, 40)]$ |
| 48960.x2 |
48960bp2 |
48960.x |
48960bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$2.040468781$ |
$1$ |
|
$19$ |
$98304$ |
$1.277912$ |
$-4826809/180625$ |
$1.05314$ |
$3.57843$ |
$[0, 0, 0, -2028, 284848]$ |
\(y^2=x^3-2028x+284848\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 68.12.0.d.1, 204.24.0.?, $\ldots$ |
$[(-42, 544), (86, 864)]$ |
