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 |
53958.a1 |
53958n1 |
53958.a |
53958n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 17^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$1.168760292$ |
$1$ |
|
$4$ |
$1520640$ |
$2.137890$ |
$-293946977449/7029441792$ |
$0.95301$ |
$4.49386$ |
$[1, 1, 0, -73277, 49639485]$ |
\(y^2+xy=x^3+x^2-73277x+49639485\) |
4692.2.0.? |
$[(1738, 71075)]$ |
53958.b1 |
53958o1 |
53958.b |
53958o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{9} \cdot 3 \cdot 17 \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$2.829938890$ |
$1$ |
|
$0$ |
$269568$ |
$1.122469$ |
$8969081798761/26112$ |
$0.97709$ |
$3.88830$ |
$[1, 1, 0, -28312, -1845440]$ |
\(y^2+xy=x^3+x^2-28312x-1845440\) |
408.2.0.? |
$[(-1563/4, 3149/4)]$ |
53958.c1 |
53958k1 |
53958.c |
53958k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{19} \cdot 3 \cdot 17^{3} \cdot 23^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9384$ |
$2$ |
$0$ |
$30.87679205$ |
$1$ |
|
$0$ |
$14446080$ |
$3.551956$ |
$-1774286061290599638601/49736717160677376$ |
$1.00860$ |
$6.22138$ |
$[1, 1, 0, -133420423, -607425424139]$ |
\(y^2+xy=x^3+x^2-133420423x-607425424139\) |
9384.2.0.? |
$[(3412956667386843/271081, 192037105601860231060268/271081)]$ |
53958.d1 |
53958l1 |
53958.d |
53958l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 17^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$204$ |
$4$ |
$0$ |
$0.696081252$ |
$1$ |
|
$4$ |
$317952$ |
$1.779104$ |
$165348311/166464$ |
$0.87208$ |
$4.03888$ |
$[1, 1, 0, 48922, -3561516]$ |
\(y^2+xy=x^3+x^2+48922x-3561516\) |
4.2.0.a.1, 204.4.0.? |
$[(220, 4122)]$ |
53958.e1 |
53958i1 |
53958.e |
53958i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2 \cdot 3^{5} \cdot 17 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$5.026288510$ |
$1$ |
|
$2$ |
$264960$ |
$1.538954$ |
$19719625/8262$ |
$0.83696$ |
$3.84372$ |
$[1, 1, 0, -24080, 745602]$ |
\(y^2+xy=x^3+x^2-24080x+745602\) |
408.2.0.? |
$[(19, 534)]$ |
53958.f1 |
53958b2 |
53958.f |
53958b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{15} \cdot 3 \cdot 17^{4} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1774080$ |
$2.453850$ |
$15937437798679834505375/8210448384$ |
$1.04770$ |
$5.55522$ |
$[1, 1, 0, -12058485, -16122137811]$ |
\(y^2+xy=x^3+x^2-12058485x-16122137811\) |
2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? |
$[]$ |
53958.f2 |
53958b1 |
53958.f |
53958b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{30} \cdot 3^{2} \cdot 17^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$887040$ |
$2.107277$ |
$-3888965599817609375/2792802484224$ |
$1.06338$ |
$4.79190$ |
$[1, 1, 0, -753525, -252234963]$ |
\(y^2+xy=x^3+x^2-753525x-252234963\) |
2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? |
$[]$ |
53958.g1 |
53958c1 |
53958.g |
53958c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{15} \cdot 17 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2782080$ |
$2.768429$ |
$-666482465375/975725676$ |
$0.96528$ |
$5.20431$ |
$[1, 1, 0, -2214140, 2381559828]$ |
\(y^2+xy=x^3+x^2-2214140x+2381559828\) |
4692.2.0.? |
$[]$ |
53958.h1 |
53958a2 |
53958.h |
53958a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{2} \cdot 17^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1419264$ |
$2.506805$ |
$23953873173009625/50898365568$ |
$0.96242$ |
$5.18797$ |
$[1, 1, 0, -3176920, -2176822592]$ |
\(y^2+xy=x^3+x^2-3176920x-2176822592\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[]$ |
53958.h2 |
53958a1 |
53958.h |
53958a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{14} \cdot 3^{4} \cdot 17^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$709632$ |
$2.160229$ |
$-1636774161625/8821260288$ |
$0.94109$ |
$4.52187$ |
$[1, 1, 0, -129880, -57910976]$ |
\(y^2+xy=x^3+x^2-129880x-57910976\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
53958.i1 |
53958h1 |
53958.i |
53958h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{15} \cdot 17 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$2.922745938$ |
$1$ |
|
$2$ |
$120960$ |
$1.200682$ |
$-666482465375/975725676$ |
$0.96528$ |
$3.47771$ |
$[1, 1, 0, -4185, -197559]$ |
\(y^2+xy=x^3+x^2-4185x-197559\) |
4692.2.0.? |
$[(82, 97)]$ |
53958.j1 |
53958g2 |
53958.j |
53958g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{15} \cdot 3 \cdot 17^{4} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$28.34500621$ |
$1$ |
|
$0$ |
$40803840$ |
$4.021599$ |
$15937437798679834505375/8210448384$ |
$1.04770$ |
$7.28182$ |
$[1, 1, 0, -6378938840, 196094261358912]$ |
\(y^2+xy=x^3+x^2-6378938840x+196094261358912\) |
2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? |
$[(525223546557733/106051, 233648470021488869918/106051)]$ |
53958.j2 |
53958g1 |
53958.j |
53958g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{30} \cdot 3^{2} \cdot 17^{2} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$14.17250310$ |
$1$ |
|
$1$ |
$20401920$ |
$3.675026$ |
$-3888965599817609375/2792802484224$ |
$1.06338$ |
$6.51850$ |
$[1, 1, 0, -398615000, 3064956645696]$ |
\(y^2+xy=x^3+x^2-398615000x+3064956645696\) |
2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? |
$[(1580296432/311, 28513711817272/311)]$ |
53958.k1 |
53958d1 |
53958.k |
53958d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2 \cdot 3^{5} \cdot 17 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$-0.028793$ |
$19719625/8262$ |
$0.83696$ |
$2.11713$ |
$[1, 1, 0, -45, -81]$ |
\(y^2+xy=x^3+x^2-45x-81\) |
408.2.0.? |
$[]$ |
53958.l1 |
53958j1 |
53958.l |
53958j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 17 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9384$ |
$2$ |
$0$ |
$4.237661057$ |
$1$ |
|
$2$ |
$1267200$ |
$2.013794$ |
$19924551431/1608380064$ |
$0.95547$ |
$4.35565$ |
$[1, 1, 0, 29878, 23404788]$ |
\(y^2+xy=x^3+x^2+29878x+23404788\) |
9384.2.0.? |
$[(1393, 51939)]$ |
53958.m1 |
53958e1 |
53958.m |
53958e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 17^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$4692$ |
$4$ |
$0$ |
$0.636797527$ |
$1$ |
|
$12$ |
$13824$ |
$0.211358$ |
$165348311/166464$ |
$0.87208$ |
$2.31228$ |
$[1, 1, 0, 93, 333]$ |
\(y^2+xy=x^3+x^2+93x+333\) |
4.2.0.a.1, 4692.4.0.? |
$[(3, 24), (54, 381)]$ |
53958.n1 |
53958f1 |
53958.n |
53958f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{9} \cdot 3 \cdot 17 \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$6200064$ |
$2.690216$ |
$8969081798761/26112$ |
$0.97709$ |
$5.61490$ |
$[1, 1, 0, -14977323, 22303696125]$ |
\(y^2+xy=x^3+x^2-14977323x+22303696125\) |
408.2.0.? |
$[]$ |
53958.o1 |
53958m1 |
53958.o |
53958m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 17 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$3.192777070$ |
$1$ |
|
$3$ |
$95040$ |
$0.804219$ |
$1771561/612$ |
$1.28490$ |
$3.04703$ |
$[1, 1, 0, -1333, -12455]$ |
\(y^2+xy=x^3+x^2-1333x-12455\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(40, -5)]$ |
53958.o2 |
53958m2 |
53958.o |
53958m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2 \cdot 3^{4} \cdot 17^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$6.385554140$ |
$1$ |
|
$2$ |
$190080$ |
$1.150793$ |
$46268279/46818$ |
$0.94894$ |
$3.34646$ |
$[1, 1, 0, 3957, -81225]$ |
\(y^2+xy=x^3+x^2+3957x-81225\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(56225, 13304010)]$ |
53958.p1 |
53958s2 |
53958.p |
53958s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 17^{4} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$11.50157965$ |
$1$ |
|
$0$ |
$1554432$ |
$2.499294$ |
$1727568035999/4009008$ |
$1.03949$ |
$5.17597$ |
$[1, 0, 1, -3041497, 2037288620]$ |
\(y^2+xy+y=x^3-3041497x+2037288620\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[(1908630/29, 1987169951/29)]$ |
53958.p2 |
53958s1 |
53958.p |
53958s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 17^{2} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$5.750789828$ |
$1$ |
|
$3$ |
$777216$ |
$2.152718$ |
$-109902239/665856$ |
$0.91739$ |
$4.51307$ |
$[1, 0, 1, -121417, 55138316]$ |
\(y^2+xy+y=x^3-121417x+55138316\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[(2038, 89939)]$ |
53958.q1 |
53958r1 |
53958.q |
53958r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 17^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$9384$ |
$4$ |
$0$ |
$0.681865383$ |
$1$ |
|
$4$ |
$15360$ |
$0.110750$ |
$-67256761/41616$ |
$0.84851$ |
$2.29646$ |
$[1, 0, 1, -69, -320]$ |
\(y^2+xy+y=x^3-69x-320\) |
4.2.0.a.1, 9384.4.0.? |
$[(23, 90)]$ |
53958.r1 |
53958z1 |
53958.r |
53958z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 17^{2} \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$204$ |
$4$ |
$0$ |
$0.152658749$ |
$1$ |
|
$24$ |
$345600$ |
$1.752804$ |
$-187818970281289/17474724864$ |
$0.99644$ |
$4.18114$ |
$[1, 0, 1, -78039, 9033850]$ |
\(y^2+xy+y=x^3-78039x+9033850\) |
4.2.0.a.1, 204.4.0.? |
$[(-25, 3324), (167, 732)]$ |
53958.s1 |
53958v3 |
53958.s |
53958v |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 17^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$9384$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$855360$ |
$2.209175$ |
$46753267515625/11591221248$ |
$1.08666$ |
$4.61537$ |
$[1, 0, 1, -397026, 72764596]$ |
\(y^2+xy+y=x^3-397026x+72764596\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[]$ |
53958.s2 |
53958v1 |
53958.s |
53958v |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 17 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$9384$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$285120$ |
$1.659866$ |
$1845026709625/793152$ |
$1.00293$ |
$4.31871$ |
$[1, 0, 1, -135171, -19132226]$ |
\(y^2+xy+y=x^3-135171x-19132226\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[]$ |
53958.s3 |
53958v2 |
53958.s |
53958v |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 17^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$9384$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$570240$ |
$2.006439$ |
$-1107111813625/1228691592$ |
$1.01884$ |
$4.37011$ |
$[1, 0, 1, -114011, -25319410]$ |
\(y^2+xy+y=x^3-114011x-25319410\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[]$ |
53958.s4 |
53958v4 |
53958.s |
53958v |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 17^{6} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$9384$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1710720$ |
$2.555748$ |
$655215969476375/1001033261568$ |
$1.05358$ |
$4.90307$ |
$[1, 0, 1, 957214, 461702324]$ |
\(y^2+xy+y=x^3+957214x+461702324\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[]$ |
53958.t1 |
53958w1 |
53958.t |
53958w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3 \cdot 17 \cdot 23^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$760320$ |
$2.120426$ |
$6043486088375/5252055888$ |
$0.93413$ |
$4.42760$ |
$[1, 0, 1, 200744, 24537782]$ |
\(y^2+xy+y=x^3+200744x+24537782\) |
4692.2.0.? |
$[]$ |
53958.u1 |
53958p1 |
53958.u |
53958p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{19} \cdot 17 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$4.558437412$ |
$1$ |
|
$2$ |
$38763648$ |
$4.008522$ |
$139900792660212079521625/2529080952192$ |
$1.04239$ |
$7.19342$ |
$[1, 0, 1, -4627073346, 121145224779796]$ |
\(y^2+xy+y=x^3-4627073346x+121145224779796\) |
408.2.0.? |
$[(38858, 122685)]$ |
53958.v1 |
53958u1 |
53958.v |
53958u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{19} \cdot 17 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1685376$ |
$2.440777$ |
$139900792660212079521625/2529080952192$ |
$1.04239$ |
$5.46682$ |
$[1, 0, 1, -8746831, -9957629566]$ |
\(y^2+xy+y=x^3-8746831x-9957629566\) |
408.2.0.? |
$[]$ |
53958.w1 |
53958x2 |
53958.w |
53958x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2 \cdot 3^{4} \cdot 17^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$2.179447$ |
$42235085265625/7157582658$ |
$0.97669$ |
$4.60604$ |
$[1, 0, 1, -383801, 76927826]$ |
\(y^2+xy+y=x^3-383801x+76927826\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[]$ |
53958.w2 |
53958x1 |
53958.w |
53958x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{8} \cdot 17^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$608256$ |
$1.832876$ |
$66676466375/174443868$ |
$0.99390$ |
$4.12949$ |
$[1, 0, 1, 44689, 6826862]$ |
\(y^2+xy+y=x^3+44689x+6826862\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
53958.x1 |
53958q1 |
53958.x |
53958q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 17^{2} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$4692$ |
$4$ |
$0$ |
$5.838145556$ |
$1$ |
|
$2$ |
$7948800$ |
$3.320549$ |
$-187818970281289/17474724864$ |
$0.99644$ |
$5.90774$ |
$[1, 0, 1, -41282378, -109997420740]$ |
\(y^2+xy+y=x^3-41282378x-109997420740\) |
4.2.0.a.1, 4692.4.0.? |
$[(7485, 15409)]$ |
53958.y1 |
53958y1 |
53958.y |
53958y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 17^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$408$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$353280$ |
$1.678497$ |
$-67256761/41616$ |
$0.84851$ |
$4.02306$ |
$[1, 0, 1, -36248, 3817910]$ |
\(y^2+xy+y=x^3-36248x+3817910\) |
4.2.0.a.1, 408.4.0.? |
$[]$ |
53958.z1 |
53958ba2 |
53958.z |
53958ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 17^{4} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67584$ |
$0.931545$ |
$1727568035999/4009008$ |
$1.03949$ |
$3.44937$ |
$[1, 0, 1, -5750, -167944]$ |
\(y^2+xy+y=x^3-5750x-167944\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[]$ |
53958.z2 |
53958ba1 |
53958.z |
53958ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 17^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33792$ |
$0.584971$ |
$-109902239/665856$ |
$0.91739$ |
$2.78647$ |
$[1, 0, 1, -230, -4552]$ |
\(y^2+xy+y=x^3-230x-4552\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
53958.ba1 |
53958t2 |
53958.ba |
53958t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3 \cdot 17 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9384$ |
$16$ |
$0$ |
$6.947286348$ |
$1$ |
|
$0$ |
$912384$ |
$2.104725$ |
$-2505315353383513/4964136$ |
$0.95039$ |
$4.98076$ |
$[1, 0, 1, -1496817, 704733388]$ |
\(y^2+xy+y=x^3-1496817x+704733388\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 408.8.0.?, 9384.16.0.? |
$[(-10451/4, 2418827/4)]$ |
53958.ba2 |
53958t1 |
53958.ba |
53958t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2 \cdot 3^{3} \cdot 17^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9384$ |
$16$ |
$0$ |
$2.315762116$ |
$1$ |
|
$2$ |
$304128$ |
$1.555418$ |
$-1630532233/6101946$ |
$0.87823$ |
$3.85791$ |
$[1, 0, 1, -12972, 1552732]$ |
\(y^2+xy+y=x^3-12972x+1552732\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 408.8.0.?, 9384.16.0.? |
$[(-140, 863)]$ |
53958.bb1 |
53958bf1 |
53958.bb |
53958bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 17^{4} \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$0.124987542$ |
$1$ |
|
$22$ |
$258048$ |
$1.448578$ |
$-5338508919649/432972864$ |
$0.97612$ |
$3.85272$ |
$[1, 1, 1, -23816, 1500617]$ |
\(y^2+xy+y=x^3+x^2-23816x+1500617\) |
4.16.0-4.b.1.1 |
$[(151, 1097), (933, 27685)]$ |
53958.bc1 |
53958bb1 |
53958.bc |
53958bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3 \cdot 17 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$0.829401737$ |
$1$ |
|
$4$ |
$14976$ |
$0.170481$ |
$-9938375/3264$ |
$0.83458$ |
$2.38326$ |
$[1, 1, 1, -103, -547]$ |
\(y^2+xy+y=x^3+x^2-103x-547\) |
4692.2.0.? |
$[(13, 16)]$ |
53958.bd1 |
53958be1 |
53958.bd |
53958be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3 \cdot 17 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4692$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344448$ |
$1.738228$ |
$-9938375/3264$ |
$0.83458$ |
$4.10986$ |
$[1, 1, 1, -54498, 6108207]$ |
\(y^2+xy+y=x^3+x^2-54498x+6108207\) |
4692.2.0.? |
$[]$ |
53958.be1 |
53958bc1 |
53958.be |
53958bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3 \cdot 17 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9384$ |
$2$ |
$0$ |
$3.648112406$ |
$1$ |
|
$0$ |
$101376$ |
$1.015751$ |
$6967871/9384$ |
$0.78932$ |
$3.19869$ |
$[1, 1, 1, 2105, -41947]$ |
\(y^2+xy+y=x^3+x^2+2105x-41947\) |
9384.2.0.? |
$[(277/4, -57/4)]$ |
53958.bf1 |
53958bd1 |
53958.bf |
53958bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 17^{4} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$92$ |
$16$ |
$0$ |
$10.94544315$ |
$1$ |
|
$0$ |
$5935104$ |
$3.016327$ |
$-5338508919649/432972864$ |
$0.97612$ |
$5.57932$ |
$[1, 1, 1, -12598675, -18383995951]$ |
\(y^2+xy+y=x^3+x^2-12598675x-18383995951\) |
4.8.0.b.1, 92.16.0.? |
$[(136853/4, 44967525/4)]$ |
53958.bg1 |
53958bo1 |
53958.bg |
53958bo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 17^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.279136481$ |
$1$ |
|
$4$ |
$17280$ |
$0.125709$ |
$-8231953/62424$ |
$0.94270$ |
$2.27983$ |
$[1, 0, 0, -34, 284]$ |
\(y^2+xy=x^3-34x+284\) |
24.2.0.b.1 |
$[(14, 44)]$ |
53958.bh1 |
53958bj1 |
53958.bh |
53958bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{9} \cdot 3 \cdot 17 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$556416$ |
$1.937607$ |
$133912564177/26112$ |
$0.91288$ |
$4.65350$ |
$[1, 0, 0, -456009, -118542567]$ |
\(y^2+xy=x^3-456009x-118542567\) |
408.2.0.? |
$[]$ |
53958.bi1 |
53958bl2 |
53958.bi |
53958bl |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3 \cdot 17^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4692$ |
$16$ |
$0$ |
$0.909008349$ |
$1$ |
|
$2$ |
$3193344$ |
$2.894775$ |
$-575080389302194842625/5423952$ |
$1.00434$ |
$6.11364$ |
$[1, 0, 0, -91648203, 337694682945]$ |
\(y^2+xy=x^3-91648203x+337694682945\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 204.8.0.?, 4692.16.0.? |
$[(5564, 1979)]$ |
53958.bi2 |
53958bl1 |
53958.bi |
53958bl |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 17 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4692$ |
$16$ |
$0$ |
$0.303002783$ |
$1$ |
|
$6$ |
$1064448$ |
$2.345470$ |
$-1065740176698625/22874738688$ |
$0.94605$ |
$4.90566$ |
$[1, 0, 0, -1125723, 468076113]$ |
\(y^2+xy=x^3-1125723x+468076113\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 204.8.0.?, 4692.16.0.? |
$[(1332, 35835)]$ |
53958.bj1 |
53958bk1 |
53958.bj |
53958bk |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{25} \cdot 3^{3} \cdot 17^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.100446254$ |
$1$ |
|
$10$ |
$1008000$ |
$2.277679$ |
$315658347154011432625/1286347369218048$ |
$1.02509$ |
$4.90752$ |
$[1, 0, 0, -1147228, 471194384]$ |
\(y^2+xy=x^3-1147228x+471194384\) |
408.2.0.? |
$[(-904, 28196)]$ |
53958.bk1 |
53958bg1 |
53958.bk |
53958bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( 2^{25} \cdot 3^{3} \cdot 17^{5} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23184000$ |
$3.845425$ |
$315658347154011432625/1286347369218048$ |
$1.02509$ |
$6.63412$ |
$[1, 0, 0, -606883623, -5734235837367]$ |
\(y^2+xy=x^3-606883623x-5734235837367\) |
408.2.0.? |
$[]$ |
53958.bl1 |
53958bm1 |
53958.bl |
53958bm |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 17 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9384$ |
$2$ |
$0$ |
$1.816798838$ |
$1$ |
|
$4$ |
$456192$ |
$1.686419$ |
$-656008386769/5405184$ |
$0.89427$ |
$4.22510$ |
$[1, 0, 0, -95760, -11494656]$ |
\(y^2+xy=x^3-95760x-11494656\) |
9384.2.0.? |
$[(366, 1404)]$ |