| 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 |
| 29760.a1 |
29760bw4 |
29760.a |
29760bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1240$ |
$48$ |
$0$ |
$3.688412139$ |
$1$ |
|
$3$ |
$73728$ |
$1.104612$ |
$22868380035364/174375$ |
$0.93806$ |
$4.06285$ |
$[0, -1, 0, -23841, -1408959]$ |
\(y^2=x^3-x^2-23841x-1408959\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 124.12.0.?, $\ldots$ |
$[(311, 4600)]$ |
| 29760.a2 |
29760bw3 |
29760.a |
29760bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1240$ |
$48$ |
$0$ |
$0.922103034$ |
$1$ |
|
$7$ |
$73728$ |
$1.104612$ |
$226669409284/41558445$ |
$0.90769$ |
$3.61493$ |
$[0, -1, 0, -5121, 118305]$ |
\(y^2=x^3-x^2-5121x+118305\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(24, 93)]$ |
| 29760.a3 |
29760bw2 |
29760.a |
29760bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1240$ |
$48$ |
$0$ |
$1.844206069$ |
$1$ |
|
$9$ |
$36864$ |
$0.758039$ |
$23767139536/1946025$ |
$0.86702$ |
$3.26142$ |
$[0, -1, 0, -1521, -20655]$ |
\(y^2=x^3-x^2-1521x-20655\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 124.12.0.?, $\ldots$ |
$[(-19, 32)]$ |
| 29760.a4 |
29760bw1 |
29760.a |
29760bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1240$ |
$48$ |
$0$ |
$3.688412139$ |
$1$ |
|
$3$ |
$18432$ |
$0.411466$ |
$103737344/1016955$ |
$0.90244$ |
$2.73351$ |
$[0, -1, 0, 99, -1539]$ |
\(y^2=x^3-x^2+99x-1539\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.z.1.9, 248.24.0.?, $\ldots$ |
$[(73, 624)]$ |
| 29760.b1 |
29760f4 |
29760.b |
29760f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3720$ |
$48$ |
$0$ |
$0.865728375$ |
$1$ |
|
$9$ |
$65536$ |
$1.099504$ |
$543538277281/1569375$ |
$0.92064$ |
$3.83442$ |
$[0, -1, 0, -10881, 439425]$ |
\(y^2=x^3-x^2-10881x+439425\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 124.12.0.?, $\ldots$ |
$[(81, 288)]$ |
| 29760.b2 |
29760f2 |
29760.b |
29760f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$1.731456751$ |
$1$ |
|
$11$ |
$32768$ |
$0.752932$ |
$374805361/216225$ |
$0.96767$ |
$3.12774$ |
$[0, -1, 0, -961, 961]$ |
\(y^2=x^3-x^2-961x+961\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.b.1, 120.24.0.?, 124.12.0.?, $\ldots$ |
$[(0, 31)]$ |
| 29760.b3 |
29760f1 |
29760.b |
29760f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3 \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3720$ |
$48$ |
$0$ |
$3.462913502$ |
$1$ |
|
$3$ |
$16384$ |
$0.406358$ |
$111284641/465$ |
$0.83191$ |
$3.00985$ |
$[0, -1, 0, -641, -6015]$ |
\(y^2=x^3-x^2-641x-6015\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 248.24.0.?, $\ldots$ |
$[(241, 3712)]$ |
| 29760.b4 |
29760f3 |
29760.b |
29760f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{18} \cdot 3 \cdot 5 \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3720$ |
$48$ |
$0$ |
$3.462913502$ |
$1$ |
|
$5$ |
$65536$ |
$1.099504$ |
$23862997439/13852815$ |
$1.00143$ |
$3.53097$ |
$[0, -1, 0, 3839, 3841]$ |
\(y^2=x^3-x^2+3839x+3841\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(3, 124)]$ |
| 29760.c1 |
29760e1 |
29760.c |
29760e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{17} \cdot 3^{5} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$16.88989717$ |
$1$ |
|
$0$ |
$591360$ |
$2.330093$ |
$-237947203935023980322/588515625$ |
$1.01916$ |
$5.69872$ |
$[0, -1, 0, -6557761, -6461519039]$ |
\(y^2=x^3-x^2-6557761x-6461519039\) |
3720.2.0.? |
$[(98191673/179, 269829867504/179)]$ |
| 29760.d1 |
29760k1 |
29760.d |
29760k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{7} \cdot 31^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$338688$ |
$1.987349$ |
$1293532570753912/5090071640625$ |
$0.99015$ |
$4.55796$ |
$[0, -1, 0, 72639, -18171135]$ |
\(y^2=x^3-x^2+72639x-18171135\) |
3720.2.0.? |
$[]$ |
| 29760.e1 |
29760bv1 |
29760.e |
29760bv |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{29} \cdot 3^{5} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$2.575968554$ |
$1$ |
|
$2$ |
$84480$ |
$1.241318$ |
$102437538839/77137920$ |
$0.93617$ |
$3.67241$ |
$[0, -1, 0, 6239, -106175]$ |
\(y^2=x^3-x^2+6239x-106175\) |
3720.2.0.? |
$[(669, 17408)]$ |
| 29760.f1 |
29760bq2 |
29760.f |
29760bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{26} \cdot 3^{2} \cdot 5^{14} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$2.594112$ |
$5805223604235668521/435937500000000$ |
$1.01018$ |
$5.40553$ |
$[0, -1, 0, -2396321, -1331141055]$ |
\(y^2=x^3-x^2-2396321x-1331141055\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
| 29760.f2 |
29760bq1 |
29760.f |
29760bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{34} \cdot 3 \cdot 5^{7} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$2.247540$ |
$1238798620042199/14760960000000$ |
$1.01326$ |
$4.87380$ |
$[0, -1, 0, 143199, -92363199]$ |
\(y^2=x^3-x^2+143199x-92363199\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
| 29760.g1 |
29760j2 |
29760.g |
29760j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.791618$ |
$11702923216/5084775$ |
$0.88169$ |
$3.19264$ |
$[0, -1, 0, -1201, 8401]$ |
\(y^2=x^3-x^2-1201x+8401\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[]$ |
| 29760.g2 |
29760j1 |
29760.g |
29760j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.445045$ |
$21217755136/389205$ |
$0.92022$ |
$2.98125$ |
$[0, -1, 0, -581, -5115]$ |
\(y^2=x^3-x^2-581x-5115\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[]$ |
| 29760.h1 |
29760d2 |
29760.h |
29760d |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{22} \cdot 3^{10} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$4.317070861$ |
$1$ |
|
$1$ |
$368640$ |
$1.969631$ |
$901456690969801/457629750000$ |
$0.99863$ |
$4.55413$ |
$[0, -1, 0, -128801, -6191199]$ |
\(y^2=x^3-x^2-128801x-6191199\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(11809/3, 1232000/3)]$ |
| 29760.h2 |
29760d1 |
29760.h |
29760d |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{26} \cdot 3^{5} \cdot 5^{3} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$8.634141723$ |
$1$ |
|
$1$ |
$184320$ |
$1.623056$ |
$11298232190519/7472736000$ |
$0.97672$ |
$4.12898$ |
$[0, -1, 0, 29919, -762975]$ |
\(y^2=x^3-x^2+29919x-762975\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(16696/11, 3253047/11)]$ |
| 29760.i1 |
29760h2 |
29760.i |
29760h |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{21} \cdot 3 \cdot 5 \cdot 31^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.289326$ |
$-15777367606441/3574920$ |
$0.94496$ |
$4.16144$ |
$[0, -1, 0, -33441, -2343135]$ |
\(y^2=x^3-x^2-33441x-2343135\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1860.8.0.?, 3720.16.0.? |
$[]$ |
| 29760.i2 |
29760h1 |
29760.i |
29760h |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.740020$ |
$1685159/209250$ |
$0.91805$ |
$3.12380$ |
$[0, -1, 0, 159, -11295]$ |
\(y^2=x^3-x^2+159x-11295\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1860.8.0.?, 3720.16.0.? |
$[]$ |
| 29760.j1 |
29760bm2 |
29760.j |
29760bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$215040$ |
$1.904346$ |
$3709622372097608/1595983753125$ |
$1.04387$ |
$4.48959$ |
$[0, -1, 0, -103201, -6429215]$ |
\(y^2=x^3-x^2-103201x-6429215\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[]$ |
| 29760.j2 |
29760bm1 |
29760.j |
29760bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{10} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$107520$ |
$1.557772$ |
$279674941219136/220693359375$ |
$1.07941$ |
$4.03677$ |
$[0, -1, 0, 21799, -754215]$ |
\(y^2=x^3-x^2+21799x-754215\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[]$ |
| 29760.k1 |
29760g1 |
29760.k |
29760g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.468660$ |
$92563776571134016/1099455474375$ |
$0.99109$ |
$4.19628$ |
$[0, -1, 0, -37696, 2800570]$ |
\(y^2=x^3-x^2-37696x+2800570\) |
2.3.0.a.1, 12.6.0.c.1, 124.6.0.?, 372.12.0.? |
$[]$ |
| 29760.k2 |
29760g2 |
29760.k |
29760g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.815235$ |
$-10595813489344/5391584862075$ |
$1.15541$ |
$4.37723$ |
$[0, -1, 0, -7321, 7156345]$ |
\(y^2=x^3-x^2-7321x+7156345\) |
2.3.0.a.1, 6.6.0.a.1, 124.6.0.?, 372.12.0.? |
$[]$ |
| 29760.l1 |
29760bt2 |
29760.l |
29760bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$0.992331526$ |
$1$ |
|
$9$ |
$12288$ |
$0.539434$ |
$1193895376/174375$ |
$0.83169$ |
$2.97105$ |
$[0, -1, 0, -561, -4239]$ |
\(y^2=x^3-x^2-561x-4239\) |
2.3.0.a.1, 12.6.0.c.1, 124.6.0.?, 372.12.0.? |
$[(-15, 24)]$ |
| 29760.l2 |
29760bt1 |
29760.l |
29760bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$1.984663053$ |
$1$ |
|
$5$ |
$6144$ |
$0.192861$ |
$21807104/72075$ |
$0.88422$ |
$2.46378$ |
$[0, -1, 0, 59, -395]$ |
\(y^2=x^3-x^2+59x-395\) |
2.3.0.a.1, 6.6.0.a.1, 124.6.0.?, 372.12.0.? |
$[(9, 28)]$ |
| 29760.m1 |
29760a4 |
29760.m |
29760a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1240$ |
$48$ |
$0$ |
$4.525013200$ |
$1$ |
|
$3$ |
$49152$ |
$1.192184$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.09432$ |
$[0, -1, 0, -26561, 1674945]$ |
\(y^2=x^3-x^2-26561x+1674945\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(144, 903)]$ |
| 29760.m2 |
29760a3 |
29760.m |
29760a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1240$ |
$48$ |
$0$ |
$4.525013200$ |
$1$ |
|
$3$ |
$49152$ |
$1.192184$ |
$607199886722/41558445$ |
$0.98437$ |
$3.77788$ |
$[0, -1, 0, -8961, -303615]$ |
\(y^2=x^3-x^2-8961x-303615\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$ |
$[(131, 868)]$ |
| 29760.m3 |
29760a2 |
29760.m |
29760a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1240$ |
$48$ |
$0$ |
$2.262506600$ |
$1$ |
|
$9$ |
$24576$ |
$0.845612$ |
$9220796644/1946025$ |
$0.95274$ |
$3.30408$ |
$[0, -1, 0, -1761, 23265]$ |
\(y^2=x^3-x^2-1761x+23265\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 124.12.0.?, $\ldots$ |
$[(51, 252)]$ |
| 29760.m4 |
29760a1 |
29760.m |
29760a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1240$ |
$48$ |
$0$ |
$1.131253300$ |
$1$ |
|
$5$ |
$12288$ |
$0.499038$ |
$91765424/174375$ |
$0.82858$ |
$2.80213$ |
$[0, -1, 0, 239, 2065]$ |
\(y^2=x^3-x^2+239x+2065\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 62.6.0.b.1, $\ldots$ |
$[(1, 48)]$ |
| 29760.n1 |
29760b6 |
29760.n |
29760b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3 \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.185 |
2B |
$7440$ |
$192$ |
$1$ |
$26.73352052$ |
$1$ |
|
$1$ |
$786432$ |
$2.421547$ |
$3216206300355197383681/57660$ |
$1.02949$ |
$6.01880$ |
$[0, -1, 0, -19681281, -33600317439]$ |
\(y^2=x^3-x^2-19681281x-33600317439\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.2.8, 60.12.0.h.1, $\ldots$ |
$[(740964936371/5383, 627481586845268140/5383)]$ |
| 29760.n2 |
29760b4 |
29760.n |
29760b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.130 |
2Cs |
$3720$ |
$192$ |
$1$ |
$13.36676026$ |
$1$ |
|
$3$ |
$393216$ |
$2.074974$ |
$785209010066844481/3324675600$ |
$1.00078$ |
$5.21132$ |
$[0, -1, 0, -1230081, -524696319]$ |
\(y^2=x^3-x^2-1230081x-524696319\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 60.24.0.c.1, 120.96.0.?, $\ldots$ |
$[(1245491/7, 1388614060/7)]$ |
| 29760.n3 |
29760b5 |
29760.n |
29760b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.225 |
2B |
$7440$ |
$192$ |
$1$ |
$26.73352052$ |
$1$ |
|
$1$ |
$786432$ |
$2.421547$ |
$-749011598724977281/51173462246460$ |
$1.00195$ |
$5.21757$ |
$[0, -1, 0, -1210881, -541887999]$ |
\(y^2=x^3-x^2-1210881x-541887999\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(795118089971/5593, 708311596892112340/5593)]$ |
| 29760.n4 |
29760b3 |
29760.n |
29760b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{8} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.219 |
2B |
$7440$ |
$192$ |
$1$ |
$3.341690065$ |
$1$ |
|
$5$ |
$393216$ |
$2.074974$ |
$5601911201812801/1271193750000$ |
$0.98526$ |
$4.73147$ |
$[0, -1, 0, -236801, 34659585]$ |
\(y^2=x^3-x^2-236801x+34659585\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 124.12.0.?, 240.96.0.?, $\ldots$ |
$[(385, 640)]$ |
| 29760.n5 |
29760b2 |
29760.n |
29760b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{26} \cdot 3^{4} \cdot 5^{4} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.85 |
2Cs |
$3720$ |
$192$ |
$1$ |
$6.683380131$ |
$1$ |
|
$5$ |
$196608$ |
$1.728399$ |
$200828550012481/12454560000$ |
$0.96232$ |
$4.40836$ |
$[0, -1, 0, -78081, -7909119]$ |
\(y^2=x^3-x^2-78081x-7909119\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 120.96.0.?, 124.24.0.?, $\ldots$ |
$[(25409, 4049920)]$ |
| 29760.n6 |
29760b1 |
29760.n |
29760b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{34} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.192 |
2B |
$7440$ |
$192$ |
$1$ |
$3.341690065$ |
$1$ |
|
$3$ |
$98304$ |
$1.381826$ |
$23862997439/457113600$ |
$0.96182$ |
$3.86773$ |
$[0, -1, 0, 3839, -519935]$ |
\(y^2=x^3-x^2+3839x-519935\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.1.14, 62.6.0.b.1, $\ldots$ |
$[(163, 2100)]$ |
| 29760.o1 |
29760bu4 |
29760.o |
29760bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{2} \cdot 31^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$248$ |
$48$ |
$0$ |
$1.843528890$ |
$1$ |
|
$7$ |
$98304$ |
$1.574261$ |
$2275072354448648/1870130025$ |
$0.96275$ |
$4.44213$ |
$[0, -1, 0, -87681, 10015425]$ |
\(y^2=x^3-x^2-87681x+10015425\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 248.48.0.? |
$[(273, 2520)]$ |
| 29760.o2 |
29760bu2 |
29760.o |
29760bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$248$ |
$48$ |
$0$ |
$3.687057780$ |
$1$ |
|
$7$ |
$49152$ |
$1.227688$ |
$8052916245184/3940700625$ |
$1.01744$ |
$3.69237$ |
$[0, -1, 0, -6681, 84825]$ |
\(y^2=x^3-x^2-6681x+84825\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 124.24.0.?, 248.48.0.? |
$[(11, 112)]$ |
| 29760.o3 |
29760bu1 |
29760.o |
29760bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{8} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$248$ |
$48$ |
$0$ |
$7.374115561$ |
$1$ |
|
$1$ |
$24576$ |
$0.881113$ |
$77723279891776/980859375$ |
$0.99616$ |
$3.50872$ |
$[0, -1, 0, -3556, -79550]$ |
\(y^2=x^3-x^2-3556x-79550\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 124.12.0.?, 248.48.0.? |
$[(-2319/8, 10409/8)]$ |
| 29760.o4 |
29760bu3 |
29760.o |
29760bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{16} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$248$ |
$48$ |
$0$ |
$7.374115561$ |
$1$ |
|
$3$ |
$98304$ |
$1.574261$ |
$48539249487352/33361208775$ |
$0.96983$ |
$4.06863$ |
$[0, -1, 0, 24319, 624225]$ |
\(y^2=x^3-x^2+24319x+624225\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 248.48.0.? |
$[(3111, 173712)]$ |
| 29760.p1 |
29760bn4 |
29760.p |
29760bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3 \cdot 5^{8} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$744$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$40960$ |
$1.054317$ |
$373559126408/36328125$ |
$0.90268$ |
$3.59614$ |
$[0, -1, 0, -4801, -115199]$ |
\(y^2=x^3-x^2-4801x-115199\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[]$ |
| 29760.p2 |
29760bn2 |
29760.p |
29760bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$20480$ |
$0.707745$ |
$34138350784/5405625$ |
$0.91196$ |
$3.16199$ |
$[0, -1, 0, -1081, 12025]$ |
\(y^2=x^3-x^2-1081x+12025\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 124.12.0.?, $\ldots$ |
$[]$ |
| 29760.p3 |
29760bn1 |
29760.p |
29760bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10240$ |
$0.361171$ |
$1923278337856/62775$ |
$0.94412$ |
$3.14962$ |
$[0, -1, 0, -1036, 13186]$ |
\(y^2=x^3-x^2-1036x+13186\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 124.12.0.?, $\ldots$ |
$[]$ |
| 29760.p4 |
29760bn3 |
29760.p |
29760bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3 \cdot 5^{2} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40960$ |
$1.054317$ |
$23838140152/69264075$ |
$0.91126$ |
$3.46408$ |
$[0, -1, 0, 1919, 64225]$ |
\(y^2=x^3-x^2+1919x+64225\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 29760.q1 |
29760bp2 |
29760.q |
29760bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.054688$ |
$474734543401/564975$ |
$0.91952$ |
$3.82128$ |
$[0, -1, 0, -10401, -404415]$ |
\(y^2=x^3-x^2-10401x-404415\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
| 29760.q2 |
29760bp1 |
29760.q |
29760bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.708114$ |
$-47045881/129735$ |
$0.99639$ |
$3.09634$ |
$[0, -1, 0, -481, -9599]$ |
\(y^2=x^3-x^2-481x-9599\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
| 29760.r1 |
29760i2 |
29760.r |
29760i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{3} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.854339$ |
$5953360210624/1081125$ |
$0.92892$ |
$3.66305$ |
$[0, -1, 0, -6041, -178695]$ |
\(y^2=x^3-x^2-6041x-178695\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[]$ |
| 29760.r2 |
29760i1 |
29760.r |
29760i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.507765$ |
$124700239936/39234375$ |
$0.90733$ |
$2.88402$ |
$[0, -1, 0, -416, -2070]$ |
\(y^2=x^3-x^2-416x-2070\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[]$ |
| 29760.s1 |
29760c2 |
29760.s |
29760c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$2.860196510$ |
$1$ |
|
$3$ |
$18432$ |
$0.512822$ |
$2533446736/62775$ |
$0.83738$ |
$3.04409$ |
$[0, -1, 0, -721, -7055]$ |
\(y^2=x^3-x^2-721x-7055\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[(63, 440)]$ |
| 29760.s2 |
29760c1 |
29760.s |
29760c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1.430098255$ |
$1$ |
|
$3$ |
$9216$ |
$0.166249$ |
$112377856/43245$ |
$0.87556$ |
$2.47248$ |
$[0, -1, 0, -101, 261]$ |
\(y^2=x^3-x^2-101x+261\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[(-7, 24)]$ |
| 29760.t1 |
29760bo1 |
29760.t |
29760bo |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$-0.174194$ |
$82881856/6975$ |
$0.82311$ |
$2.17377$ |
$[0, -1, 0, -36, 90]$ |
\(y^2=x^3-x^2-36x+90\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
