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 |
32370.a1 |
32370b2 |
32370.a |
32370b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{6} \cdot 13^{4} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$9960$ |
$12$ |
$0$ |
$1.915543810$ |
$1$ |
|
$4$ |
$225792$ |
$1.683136$ |
$9929627175387210409/3456280854000000$ |
$0.94319$ |
$4.21205$ |
$[1, 1, 0, -44778, 2283732]$ |
\(y^2+xy=x^3+x^2-44778x+2283732\) |
2.3.0.a.1, 60.6.0.c.1, 664.6.0.?, 9960.12.0.? |
$[(-33, 1947)]$ |
32370.a2 |
32370b1 |
32370.a |
32370b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$9960$ |
$12$ |
$0$ |
$3.831087621$ |
$1$ |
|
$3$ |
$112896$ |
$1.336563$ |
$64187863516976471/64377870336000$ |
$0.92397$ |
$3.72659$ |
$[1, 1, 0, 8342, 254548]$ |
\(y^2+xy=x^3+x^2+8342x+254548\) |
2.3.0.a.1, 30.6.0.a.1, 664.6.0.?, 9960.12.0.? |
$[(93, 1312)]$ |
32370.b1 |
32370a1 |
32370.b |
32370a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{7} \cdot 3 \cdot 5^{3} \cdot 13 \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129480$ |
$2$ |
$0$ |
$2.313204783$ |
$1$ |
|
$2$ |
$10080$ |
$0.169938$ |
$90458382169/51792000$ |
$1.01188$ |
$2.42929$ |
$[1, 1, 0, -93, -3]$ |
\(y^2+xy=x^3+x^2-93x-3\) |
129480.2.0.? |
$[(-1, 10)]$ |
32370.c1 |
32370k2 |
32370.c |
32370k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$2.449100$ |
$415987778677867300700391961/3394926756000$ |
$1.06225$ |
$5.90205$ |
$[1, 1, 0, -15551977, -23612705051]$ |
\(y^2+xy=x^3+x^2-15551977x-23612705051\) |
2.3.0.a.1, 40.6.0.b.1, 4316.6.0.?, 43160.12.0.? |
$[]$ |
32370.c2 |
32370k1 |
32370.c |
32370k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{6} \cdot 13 \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$2.102528$ |
$-101552910586949596071961/9174797424000000$ |
$0.97147$ |
$5.10112$ |
$[1, 1, 0, -971977, -369269051]$ |
\(y^2+xy=x^3+x^2-971977x-369269051\) |
2.3.0.a.1, 40.6.0.c.1, 2158.6.0.?, 43160.12.0.? |
$[]$ |
32370.d1 |
32370d2 |
32370.d |
32370d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{13} \cdot 3^{6} \cdot 5 \cdot 13^{2} \cdot 83^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$419328$ |
$2.029751$ |
$525112809789753846361/239489540322140160$ |
$0.96643$ |
$4.59415$ |
$[1, 1, 0, -168077, 12139101]$ |
\(y^2+xy=x^3+x^2-168077x+12139101\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
32370.d2 |
32370d1 |
32370.d |
32370d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{26} \cdot 3^{3} \cdot 5^{2} \cdot 13 \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$209664$ |
$1.683180$ |
$5476709325203772839/4056796259942400$ |
$0.94945$ |
$4.15475$ |
$[1, 1, 0, 36723, 1448541]$ |
\(y^2+xy=x^3+x^2+36723x+1448541\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
32370.e1 |
32370h2 |
32370.e |
32370h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{8} \cdot 13^{10} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$6.849414416$ |
$1$ |
|
$2$ |
$7311360$ |
$3.433189$ |
$9114182012873371428034253641/5272591022653593600000000$ |
$1.07212$ |
$6.19930$ |
$[1, 1, 0, -43517572, 2034341584]$ |
\(y^2+xy=x^3+x^2-43517572x+2034341584\) |
2.3.0.a.1, 156.6.0.?, 664.6.0.?, 25896.12.0.? |
$[(-137, 89476)]$ |
32370.e2 |
32370h1 |
32370.e |
32370h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{34} \cdot 3 \cdot 5^{4} \cdot 13^{5} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$13.69882883$ |
$1$ |
|
$1$ |
$3655680$ |
$3.086617$ |
$142327207378419565089975479/82393712341486141440000$ |
$1.06429$ |
$5.79877$ |
$[1, 1, 0, 10877308, 261068496]$ |
\(y^2+xy=x^3+x^2+10877308x+261068496\) |
2.3.0.a.1, 78.6.0.?, 664.6.0.?, 25896.12.0.? |
$[(2899033/7, 4933624067/7)]$ |
32370.f1 |
32370f2 |
32370.f |
32370f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$4.592608272$ |
$1$ |
|
$2$ |
$56320$ |
$0.949319$ |
$315155285081060761/908949600$ |
$0.91653$ |
$3.87982$ |
$[1, 1, 0, -14177, -655659]$ |
\(y^2+xy=x^3+x^2-14177x-655659\) |
2.3.0.a.1, 260.6.0.?, 664.6.0.?, 43160.12.0.? |
$[(727, 18974)]$ |
32370.f2 |
32370f1 |
32370.f |
32370f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$2.296304136$ |
$1$ |
|
$3$ |
$28160$ |
$0.602745$ |
$79957153900441/4126786560$ |
$0.86484$ |
$3.08258$ |
$[1, 1, 0, -897, -10251]$ |
\(y^2+xy=x^3+x^2-897x-10251\) |
2.3.0.a.1, 130.6.0.?, 664.6.0.?, 43160.12.0.? |
$[(-15, 18)]$ |
32370.g1 |
32370c1 |
32370.g |
32370c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 83 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$10790$ |
$2$ |
$0$ |
$0.323182990$ |
$1$ |
|
$16$ |
$12096$ |
$0.193141$ |
$214921799/77688000$ |
$0.86591$ |
$2.46715$ |
$[1, 1, 0, 13, 429]$ |
\(y^2+xy=x^3+x^2+13x+429\) |
10790.2.0.? |
$[(-2, 21), (-7, 11)]$ |
32370.h1 |
32370j2 |
32370.h |
32370j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{16} \cdot 5^{7} \cdot 13^{2} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$817152$ |
$2.338955$ |
$35678487186836552181241/7830743359962656250$ |
$0.97208$ |
$5.00038$ |
$[1, 1, 0, -685847, -172529469]$ |
\(y^2+xy=x^3+x^2-685847x-172529469\) |
2.3.0.a.1, 40.6.0.b.1, 4316.6.0.?, 43160.12.0.? |
$[]$ |
32370.h2 |
32370j1 |
32370.h |
32370j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 13 \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$408576$ |
$1.992382$ |
$96029063586560318759/172834936523437500$ |
$0.96018$ |
$4.50245$ |
$[1, 1, 0, 95403, -16435719]$ |
\(y^2+xy=x^3+x^2+95403x-16435719\) |
2.3.0.a.1, 40.6.0.c.1, 2158.6.0.?, 43160.12.0.? |
$[]$ |
32370.i1 |
32370g2 |
32370.i |
32370g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$0.883458859$ |
$1$ |
|
$6$ |
$30720$ |
$0.641915$ |
$38344346064361/12782103750$ |
$0.86833$ |
$3.01181$ |
$[1, 1, 0, -702, 4374]$ |
\(y^2+xy=x^3+x^2-702x+4374\) |
2.3.0.a.1, 156.6.0.?, 664.6.0.?, 25896.12.0.? |
$[(23, 21)]$ |
32370.i2 |
32370g1 |
32370.i |
32370g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13 \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1.766917719$ |
$1$ |
|
$5$ |
$15360$ |
$0.295342$ |
$229108583159/241803900$ |
$0.83396$ |
$2.51878$ |
$[1, 1, 0, 128, 556]$ |
\(y^2+xy=x^3+x^2+128x+556\) |
2.3.0.a.1, 78.6.0.?, 664.6.0.?, 25896.12.0.? |
$[(-3, 14)]$ |
32370.j1 |
32370i2 |
32370.j |
32370i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$129480$ |
$12$ |
$0$ |
$3.091973662$ |
$1$ |
|
$2$ |
$12288$ |
$0.177855$ |
$287626699801/34927230$ |
$0.81802$ |
$2.54068$ |
$[1, 1, 0, -137, -609]$ |
\(y^2+xy=x^3+x^2-137x-609\) |
2.3.0.a.1, 120.6.0.?, 4316.6.0.?, 129480.12.0.? |
$[(15, 24)]$ |
32370.j2 |
32370i1 |
32370.j |
32370i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$129480$ |
$12$ |
$0$ |
$1.545986831$ |
$1$ |
|
$5$ |
$6144$ |
$-0.168718$ |
$214921799/971100$ |
$0.77714$ |
$2.03215$ |
$[1, 1, 0, 13, -39]$ |
\(y^2+xy=x^3+x^2+13x-39\) |
2.3.0.a.1, 120.6.0.?, 2158.6.0.?, 129480.12.0.? |
$[(5, 11)]$ |
32370.k1 |
32370e2 |
32370.k |
32370e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{12} \cdot 5^{10} \cdot 13^{2} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$668160$ |
$2.135765$ |
$26087406053312602105561/145596150527343750$ |
$0.96671$ |
$4.97023$ |
$[1, 1, 0, -617877, -186293601]$ |
\(y^2+xy=x^3+x^2-617877x-186293601\) |
2.3.0.a.1, 260.6.0.?, 664.6.0.?, 43160.12.0.? |
$[]$ |
32370.k2 |
32370e1 |
32370.k |
32370e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 13 \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$334080$ |
$1.789192$ |
$25982416925501954882041/816088162500$ |
$0.96661$ |
$4.96984$ |
$[1, 1, 0, -617047, -186820319]$ |
\(y^2+xy=x^3+x^2-617047x-186820319\) |
2.3.0.a.1, 130.6.0.?, 664.6.0.?, 43160.12.0.? |
$[]$ |
32370.l1 |
32370p1 |
32370.l |
32370p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{2} \cdot 3^{10} \cdot 5 \cdot 13 \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$10790$ |
$2$ |
$0$ |
$0.292989947$ |
$1$ |
|
$6$ |
$22080$ |
$0.431510$ |
$618252462359/1274277420$ |
$0.84886$ |
$2.70494$ |
$[1, 0, 1, 177, -1442]$ |
\(y^2+xy+y=x^3+177x-1442\) |
10790.2.0.? |
$[(17, 72)]$ |
32370.m1 |
32370o2 |
32370.m |
32370o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{7} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$129480$ |
$12$ |
$0$ |
$10.21851216$ |
$1$ |
|
$0$ |
$75264$ |
$0.917746$ |
$117966938272836121/2235342720$ |
$0.95418$ |
$3.78519$ |
$[1, 0, 1, -10218, -398372]$ |
\(y^2+xy+y=x^3-10218x-398372\) |
2.3.0.a.1, 120.6.0.?, 4316.6.0.?, 129480.12.0.? |
$[(22672/9, 3049228/9)]$ |
32370.m2 |
32370o1 |
32370.m |
32370o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$129480$ |
$12$ |
$0$ |
$5.109256080$ |
$1$ |
|
$3$ |
$37632$ |
$0.571173$ |
$-26042253021721/3977625600$ |
$0.85875$ |
$2.99711$ |
$[1, 0, 1, -618, -6692]$ |
\(y^2+xy+y=x^3-618x-6692\) |
2.3.0.a.1, 120.6.0.?, 2158.6.0.?, 129480.12.0.? |
$[(272, 4332)]$ |
32370.n1 |
32370m2 |
32370.n |
32370m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{7} \cdot 3^{8} \cdot 5^{5} \cdot 13^{2} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$0.344013028$ |
$1$ |
|
$10$ |
$537600$ |
$2.202274$ |
$1070994835091049039217801/3055434080400000$ |
$0.97941$ |
$5.32794$ |
$[1, 0, 1, -2131513, 1197607388]$ |
\(y^2+xy+y=x^3-2131513x+1197607388\) |
2.3.0.a.1, 40.6.0.b.1, 4316.6.0.?, 43160.12.0.? |
$[(904, 2660)]$ |
32370.n2 |
32370m1 |
32370.n |
32370m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{10} \cdot 13 \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$0.688026057$ |
$1$ |
|
$9$ |
$268800$ |
$1.855701$ |
$-251550404111151217801/13983840000000000$ |
$0.94937$ |
$4.53211$ |
$[1, 0, 1, -131513, 19207388]$ |
\(y^2+xy+y=x^3-131513x+19207388\) |
2.3.0.a.1, 40.6.0.c.1, 2158.6.0.?, 43160.12.0.? |
$[(219, 850)]$ |
32370.o1 |
32370n2 |
32370.o |
32370n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 13^{10} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1.210750280$ |
$1$ |
|
$4$ |
$1797120$ |
$2.681049$ |
$1586820489004627674375241/547031318600310336000$ |
$1.04679$ |
$5.36580$ |
$[1, 0, 1, -2429973, 926844256]$ |
\(y^2+xy+y=x^3-2429973x+926844256\) |
2.3.0.a.1, 40.6.0.b.1, 4316.6.0.?, 43160.12.0.? |
$[(140, 24207)]$ |
32370.o2 |
32370n1 |
32370.o |
32370n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 13^{5} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$0.605375140$ |
$1$ |
|
$7$ |
$898560$ |
$2.334476$ |
$10079542290658807544759/10224446828544000000$ |
$0.97641$ |
$4.87866$ |
$[1, 0, 1, 450027, 100860256]$ |
\(y^2+xy+y=x^3+450027x+100860256\) |
2.3.0.a.1, 40.6.0.c.1, 2158.6.0.?, 43160.12.0.? |
$[(-130, 6402)]$ |
32370.p1 |
32370l2 |
32370.p |
32370l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{10} \cdot 5 \cdot 13^{2} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.887349064$ |
$1$ |
|
$4$ |
$215040$ |
$1.689009$ |
$5482202227506649677241/687472668090$ |
$0.96080$ |
$4.82001$ |
$[1, 0, 1, -367348, 85666016]$ |
\(y^2+xy+y=x^3-367348x+85666016\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(406, 1664)]$ |
32370.p2 |
32370l1 |
32370.p |
32370l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{2} \cdot 3^{5} \cdot 5^{2} \cdot 13 \cdot 83^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.443674532$ |
$1$ |
|
$7$ |
$107520$ |
$1.342434$ |
$-1327666816275148441/14992083603900$ |
$0.92428$ |
$4.02016$ |
$[1, 0, 1, -22898, 1344656]$ |
\(y^2+xy+y=x^3-22898x+1344656\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(-9, 1249)]$ |
32370.q1 |
32370w2 |
32370.q |
32370w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{14} \cdot 5^{2} \cdot 13^{2} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$114688$ |
$1.272182$ |
$1105407875472992209/3354535308150$ |
$0.92317$ |
$4.00065$ |
$[1, 1, 1, -21541, 1204709]$ |
\(y^2+xy+y=x^3+x^2-21541x+1204709\) |
2.3.0.a.1, 156.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.q2 |
32370w1 |
32370.q |
32370w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{4} \cdot 13 \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$57344$ |
$0.925610$ |
$-54737817524209/489652897500$ |
$0.90268$ |
$3.31578$ |
$[1, 1, 1, -791, 34409]$ |
\(y^2+xy+y=x^3+x^2-791x+34409\) |
2.3.0.a.1, 78.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.r1 |
32370v2 |
32370.r |
32370v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$2.093502$ |
$1198901087852153958836929/18028131615000$ |
$0.97978$ |
$5.33881$ |
$[1, 1, 1, -2213196, -1268217771]$ |
\(y^2+xy+y=x^3+x^2-2213196x-1268217771\) |
2.3.0.a.1, 156.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.r2 |
32370v1 |
32370.r |
32370v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{6} \cdot 3 \cdot 5^{8} \cdot 13^{3} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.746929$ |
$-291884025403196036929/1135134975000000$ |
$0.94909$ |
$4.53824$ |
$[1, 1, 1, -138196, -19897771]$ |
\(y^2+xy+y=x^3+x^2-138196x-19897771\) |
2.3.0.a.1, 78.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.s1 |
32370s2 |
32370.s |
32370s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 13^{2} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78336$ |
$0.943116$ |
$14939465034635569/94303521000$ |
$0.89925$ |
$3.58621$ |
$[1, 1, 1, -5131, -142831]$ |
\(y^2+xy+y=x^3+x^2-5131x-142831\) |
2.3.0.a.1, 40.6.0.b.1, 4316.6.0.?, 43160.12.0.? |
$[]$ |
32370.s2 |
32370s1 |
32370.s |
32370s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 13 \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$43160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$39168$ |
$0.596542$ |
$-248739515569/9711000000$ |
$0.88655$ |
$2.93365$ |
$[1, 1, 1, -131, -4831]$ |
\(y^2+xy+y=x^3+x^2-131x-4831\) |
2.3.0.a.1, 40.6.0.c.1, 2158.6.0.?, 43160.12.0.? |
$[]$ |
32370.t1 |
32370q1 |
32370.t |
32370q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{15} \cdot 3 \cdot 5^{17} \cdot 13^{3} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4479840$ |
$3.273933$ |
$117714003845048537387399963569/13676325000000000000000$ |
$1.01166$ |
$6.44566$ |
$[1, 1, 1, -102102131, 397017992753]$ |
\(y^2+xy+y=x^3+x^2-102102131x+397017992753\) |
129480.2.0.? |
$[]$ |
32370.u1 |
32370t1 |
32370.u |
32370t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129480$ |
$2$ |
$0$ |
$0.359129281$ |
$1$ |
|
$6$ |
$45408$ |
$0.828781$ |
$63946734783832369/298321920$ |
$0.95110$ |
$3.72623$ |
$[1, 1, 1, -8331, 289209]$ |
\(y^2+xy+y=x^3+x^2-8331x+289209\) |
129480.2.0.? |
$[(51, -42)]$ |
32370.v1 |
32370r2 |
32370.v |
32370r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 13^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.746603$ |
$51301740077372365489/4731302861040600$ |
$0.94318$ |
$4.37018$ |
$[1, 1, 1, -77411, 7568489]$ |
\(y^2+xy+y=x^3+x^2-77411x+7568489\) |
2.3.0.a.1, 156.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.v2 |
32370r1 |
32370.v |
32370r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 13^{3} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.400028$ |
$19307283978466511/147113492760000$ |
$0.93455$ |
$3.85152$ |
$[1, 1, 1, 5589, 563289]$ |
\(y^2+xy+y=x^3+x^2+5589x+563289\) |
2.3.0.a.1, 78.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.w1 |
32370u2 |
32370.w |
32370u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{16} \cdot 13^{2} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3502080$ |
$3.063358$ |
$174812926972702895638339969/51128415000000000000000$ |
$1.00063$ |
$5.81857$ |
$[1, 1, 1, -11648856, 10757356569]$ |
\(y^2+xy+y=x^3+x^2-11648856x+10757356569\) |
2.3.0.a.1, 156.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.w2 |
32370u1 |
32370.w |
32370u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{8} \cdot 13 \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$25896$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1751040$ |
$2.716785$ |
$819854267046099435626111/1014199064985600000000$ |
$0.99090$ |
$5.31463$ |
$[1, 1, 1, 1949864, 1118583833]$ |
\(y^2+xy+y=x^3+x^2+1949864x+1118583833\) |
2.3.0.a.1, 78.6.0.?, 664.6.0.?, 25896.12.0.? |
$[]$ |
32370.x1 |
32370ba1 |
32370.x |
32370ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{13} \cdot 3^{11} \cdot 5 \cdot 13^{5} \cdot 83^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129480$ |
$2$ |
$0$ |
$0.346463774$ |
$1$ |
|
$8$ |
$1990560$ |
$2.766712$ |
$4359761216437217800809601/1540440004594232401920$ |
$0.99200$ |
$5.46312$ |
$[1, 1, 1, -3403400, -1509551863]$ |
\(y^2+xy+y=x^3+x^2-3403400x-1509551863\) |
129480.2.0.? |
$[(-1255, 28681)]$ |
32370.y1 |
32370x4 |
32370.y |
32370x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{5} \cdot 5^{4} \cdot 13^{8} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.102 |
2B |
$1992$ |
$48$ |
$0$ |
$20.44090010$ |
$4$ |
$2$ |
$0$ |
$3358720$ |
$3.024109$ |
$268849230929653178784660162481/20565591139811250$ |
$1.01360$ |
$6.52518$ |
$[1, 1, 1, -134460595, -600179557393]$ |
\(y^2+xy+y=x^3+x^2-134460595x-600179557393\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 996.12.0.?, 1992.48.0.? |
$[(2418198357/124, 118433019644539/124)]$ |
32370.y2 |
32370x2 |
32370.y |
32370x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{8} \cdot 13^{4} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.4 |
2Cs |
$1992$ |
$48$ |
$0$ |
$10.22045005$ |
$1$ |
|
$4$ |
$1679360$ |
$2.677536$ |
$65650090827352537996062481/18153575141751562500$ |
$0.99204$ |
$5.72426$ |
$[1, 1, 1, -8404345, -9379124893]$ |
\(y^2+xy+y=x^3+x^2-8404345x-9379124893\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 996.24.0.?, 1992.48.0.? |
$[(157107, 62183086)]$ |
32370.y3 |
32370x3 |
32370.y |
32370x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2 \cdot 3^{20} \cdot 5^{4} \cdot 13^{2} \cdot 83^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.59 |
2B |
$1992$ |
$48$ |
$0$ |
$20.44090010$ |
$1$ |
|
$0$ |
$3358720$ |
$3.024109$ |
$-43878119156148609331962481/34957002172395214811250$ |
$0.99814$ |
$5.76882$ |
$[1, 1, 1, -7348095, -11822442393]$ |
\(y^2+xy+y=x^3+x^2-7348095x-11822442393\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 1992.48.0.? |
$[(2494209607/126, 124390598041961/126)]$ |
32370.y4 |
32370x1 |
32370.y |
32370x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{16} \cdot 13^{2} \cdot 83 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.53 |
2B |
$1992$ |
$48$ |
$0$ |
$5.110225026$ |
$1$ |
|
$7$ |
$839680$ |
$2.330963$ |
$22927025125476871062481/8321682128906250000$ |
$0.97518$ |
$4.95779$ |
$[1, 1, 1, -591845, -107249893]$ |
\(y^2+xy+y=x^3+x^2-591845x-107249893\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 498.6.0.?, 996.24.0.?, $\ldots$ |
$[(857, 3556)]$ |
32370.z1 |
32370y1 |
32370.z |
32370y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{9} \cdot 3^{5} \cdot 5^{9} \cdot 13 \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129480$ |
$2$ |
$0$ |
$0.430857211$ |
$1$ |
|
$4$ |
$246240$ |
$1.720980$ |
$541566784593781144561/262197000000000$ |
$0.95161$ |
$4.59712$ |
$[1, 1, 1, -169815, -26994195]$ |
\(y^2+xy+y=x^3+x^2-169815x-26994195\) |
129480.2.0.? |
$[(-237, 18)]$ |
32370.ba1 |
32370z1 |
32370.ba |
32370z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{15} \cdot 5^{5} \cdot 13^{3} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$367200$ |
$1.885303$ |
$510005986216284448801/16353359627231250$ |
$0.95189$ |
$4.59133$ |
$[1, 1, 1, -166450, 25334285]$ |
\(y^2+xy+y=x^3+x^2-166450x+25334285\) |
129480.2.0.? |
$[]$ |
32370.bb1 |
32370be4 |
32370.bb |
32370be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2 \cdot 3^{8} \cdot 5^{6} \cdot 13^{6} \cdot 83^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$129480$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$2.777340$ |
$31255746702250544064937009/565867107807442593750$ |
$0.99013$ |
$5.65280$ |
$[1, 0, 0, -6562491, -6369225525]$ |
\(y^2+xy=x^3-6562491x-6369225525\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 260.6.0.?, 664.6.0.?, $\ldots$ |
$[]$ |
32370.bb2 |
32370be3 |
32370.bb |
32370be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{3} \cdot 13^{3} \cdot 83^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$129480$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1161216$ |
$2.430767$ |
$66636069090918259138129/29090664011813566500$ |
$0.98272$ |
$5.06053$ |
$[1, 0, 0, -844621, 148002701]$ |
\(y^2+xy=x^3-844621x+148002701\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 130.6.0.?, 390.48.0.?, $\ldots$ |
$[]$ |