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 |
23184.a1 |
23184bc2 |
23184.a |
23184bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$7728$ |
$96$ |
$3$ |
$1.025252377$ |
$1$ |
|
$5$ |
$82944$ |
$1.362261$ |
$870143011569648/671898241$ |
$0.96420$ |
$4.30204$ |
$[0, 0, 0, -37887, 2836570]$ |
\(y^2=x^3-37887x+2836570\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 12.12.0.m.1, 24.24.0.cw.1, $\ldots$ |
$[(386, 6762)]$ |
23184.a2 |
23184bc1 |
23184.a |
23184bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$7728$ |
$96$ |
$3$ |
$2.050504754$ |
$1$ |
|
$3$ |
$41472$ |
$1.015686$ |
$-1679412953088/3049579729$ |
$1.07901$ |
$3.54565$ |
$[0, 0, 0, -1872, 63415]$ |
\(y^2=x^3-1872x+63415\) |
2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 8.12.0.v.1, 12.12.0.l.1, $\ldots$ |
$[(-7, 276)]$ |
23184.b1 |
23184f1 |
23184.b |
23184f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26112$ |
$0.685849$ |
$-3525581824/23667$ |
$0.85715$ |
$3.39578$ |
$[0, 0, 0, -1812, -29860]$ |
\(y^2=x^3-1812x-29860\) |
966.2.0.? |
$[]$ |
23184.c1 |
23184g2 |
23184.c |
23184g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.055439$ |
$5756278756/2705927$ |
$0.89317$ |
$3.58133$ |
$[0, 0, 0, -3387, -32870]$ |
\(y^2=x^3-3387x-32870\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
23184.c2 |
23184g1 |
23184.c |
23184g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$0.708865$ |
$253012016/181447$ |
$0.84073$ |
$3.13254$ |
$[0, 0, 0, 753, -3890]$ |
\(y^2=x^3+753x-3890\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
23184.d1 |
23184bv1 |
23184.d |
23184bv |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{11} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96000$ |
$1.367975$ |
$-98867482624/20696067$ |
$1.05025$ |
$4.03287$ |
$[0, 0, 0, -13872, -733840]$ |
\(y^2=x^3-13872x-733840\) |
966.2.0.? |
$[]$ |
23184.e1 |
23184bb1 |
23184.e |
23184bb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$6.908601668$ |
$1$ |
|
$2$ |
$126720$ |
$1.486473$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.76493$ |
$[0, 0, 0, -178659, -29066014]$ |
\(y^2=x^3-178659x-29066014\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 3864.16.0.? |
$[(3223, 181314)]$ |
23184.e2 |
23184bb2 |
23184.e |
23184bb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{27} \cdot 3^{9} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$2.302867222$ |
$1$ |
|
$2$ |
$380160$ |
$2.035778$ |
$-5999796014211/2790817792$ |
$0.99901$ |
$4.79722$ |
$[0, 0, 0, -163539, -34187886]$ |
\(y^2=x^3-163539x-34187886\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 3864.16.0.? |
$[(591, 8694)]$ |
23184.f1 |
23184bl1 |
23184.f |
23184bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{25} \cdot 3^{9} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$6.599766278$ |
$1$ |
|
$2$ |
$299520$ |
$2.181858$ |
$-14943832855786297/85501108224$ |
$0.98256$ |
$5.18966$ |
$[0, 0, 0, -738939, -245695574]$ |
\(y^2=x^3-738939x-245695574\) |
3864.2.0.? |
$[(83405, 24086016)]$ |
23184.g1 |
23184d1 |
23184.g |
23184d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.484017665$ |
$1$ |
|
$4$ |
$29440$ |
$1.058865$ |
$1888152282/45054401$ |
$0.95440$ |
$3.57907$ |
$[0, 0, 0, 981, -75014]$ |
\(y^2=x^3+981x-75014\) |
3864.2.0.? |
$[(215, 3174)]$ |
23184.h1 |
23184ca1 |
23184.h |
23184ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{7} \cdot 7^{11} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.446362729$ |
$1$ |
|
$6$ |
$760320$ |
$2.586582$ |
$83228502970940543/69854999176704$ |
$1.01004$ |
$5.35953$ |
$[0, 0, 0, 1309821, 387199874]$ |
\(y^2=x^3+1309821x+387199874\) |
3864.2.0.? |
$[(775, 43218)]$ |
23184.i1 |
23184br2 |
23184.i |
23184br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3^{22} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1622016$ |
$2.991936$ |
$1733490909744055732873/99355964553216$ |
$1.06274$ |
$6.34887$ |
$[0, 0, 0, -36038091, 83266301050]$ |
\(y^2=x^3-36038091x+83266301050\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
23184.i2 |
23184br1 |
23184.i |
23184br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{34} \cdot 3^{14} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$811008$ |
$2.645363$ |
$-354499561600764553/101902222098432$ |
$1.00156$ |
$5.54383$ |
$[0, 0, 0, -2123211, 1456827514]$ |
\(y^2=x^3-2123211x+1456827514\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
23184.j1 |
23184v1 |
23184.j |
23184v |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7 \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.148630444$ |
$1$ |
|
$10$ |
$10368$ |
$0.409083$ |
$-221184/161$ |
$0.65829$ |
$2.84083$ |
$[0, 0, 0, -216, 1836]$ |
\(y^2=x^3-216x+1836\) |
966.2.0.? |
$[(-6, 54), (21, 81)]$ |
23184.k1 |
23184e4 |
23184.k |
23184e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.709976$ |
$369937818893666/123409881$ |
$1.03140$ |
$4.75173$ |
$[0, 0, 0, -170931, -27192814]$ |
\(y^2=x^3-170931x-27192814\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ |
$[]$ |
23184.k2 |
23184e3 |
23184.k |
23184e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.709976$ |
$48260105780546/1193313807$ |
$0.94726$ |
$4.54909$ |
$[0, 0, 0, -86691, 9612290]$ |
\(y^2=x^3-86691x+9612290\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 184.24.0.?, $\ldots$ |
$[]$ |
23184.k3 |
23184e2 |
23184.k |
23184e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$65536$ |
$1.363403$ |
$267100692772/102880449$ |
$1.00917$ |
$3.96311$ |
$[0, 0, 0, -12171, -298870]$ |
\(y^2=x^3-12171x-298870\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
23184.k4 |
23184e1 |
23184.k |
23184e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.016829$ |
$8284506032/7394247$ |
$0.88021$ |
$3.47963$ |
$[0, 0, 0, 2409, -33514]$ |
\(y^2=x^3+2409x-33514\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$ |
$[]$ |
23184.l1 |
23184u1 |
23184.l |
23184u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31360$ |
$1.109554$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.77016$ |
$[0, 0, 0, -6096, -195984]$ |
\(y^2=x^3-6096x-195984\) |
966.2.0.? |
$[]$ |
23184.m1 |
23184j2 |
23184.m |
23184j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$0.989285771$ |
$1$ |
|
$7$ |
$46080$ |
$1.432669$ |
$1030541881826/62236321$ |
$0.92068$ |
$4.16640$ |
$[0, 0, 0, -24051, 1358674]$ |
\(y^2=x^3-24051x+1358674\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(29, 828)]$ |
23184.m2 |
23184j1 |
23184.m |
23184j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.978571543$ |
$1$ |
|
$5$ |
$23040$ |
$1.086096$ |
$1969910093092/7889$ |
$0.91859$ |
$4.16190$ |
$[0, 0, 0, -23691, 1403530]$ |
\(y^2=x^3-23691x+1403530\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(93, 68)]$ |
23184.n1 |
23184k2 |
23184.n |
23184k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{14} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.063196781$ |
$1$ |
|
$7$ |
$40960$ |
$1.210253$ |
$26860713266/7394247$ |
$0.89749$ |
$3.80354$ |
$[0, 0, 0, -7131, -167830]$ |
\(y^2=x^3-7131x-167830\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(-47, 252)]$ |
23184.n2 |
23184k1 |
23184.n |
23184k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.126393563$ |
$1$ |
|
$5$ |
$20480$ |
$0.863680$ |
$224727548/299943$ |
$0.85386$ |
$3.28525$ |
$[0, 0, 0, 1149, -17134]$ |
\(y^2=x^3+1149x-17134\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(49, 396)]$ |
23184.o1 |
23184bj4 |
23184.o |
23184bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$2.472625042$ |
$1$ |
|
$5$ |
$40960$ |
$1.136820$ |
$209267191953/55223$ |
$0.94092$ |
$4.07675$ |
$[0, 0, 0, -17811, 914706]$ |
\(y^2=x^3-17811x+914706\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 92.12.0.?, $\ldots$ |
$[(79, 26)]$ |
23184.o2 |
23184bj2 |
23184.o |
23184bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1932$ |
$48$ |
$0$ |
$1.236312521$ |
$1$ |
|
$13$ |
$20480$ |
$0.790246$ |
$72511713/25921$ |
$0.92625$ |
$3.28405$ |
$[0, 0, 0, -1251, 10530]$ |
\(y^2=x^3-1251x+10530\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 92.12.0.?, $\ldots$ |
$[(7, 46)]$ |
23184.o3 |
23184bj1 |
23184.o |
23184bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$2.472625042$ |
$1$ |
|
$5$ |
$10240$ |
$0.443672$ |
$5545233/161$ |
$0.79467$ |
$3.02828$ |
$[0, 0, 0, -531, -4590]$ |
\(y^2=x^3-531x-4590\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[(-14, 10)]$ |
23184.o4 |
23184bj3 |
23184.o |
23184bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$2.472625042$ |
$1$ |
|
$5$ |
$40960$ |
$1.136820$ |
$2014698447/1958887$ |
$0.97932$ |
$3.61480$ |
$[0, 0, 0, 3789, 74034]$ |
\(y^2=x^3+3789x+74034\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(-9, 198)]$ |
23184.p1 |
23184l2 |
23184.p |
23184l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$0.407956899$ |
$1$ |
|
$11$ |
$16384$ |
$0.885246$ |
$50668941906/1127$ |
$1.02051$ |
$3.86668$ |
$[0, 0, 0, -8811, 318330]$ |
\(y^2=x^3-8811x+318330\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(57, 36)]$ |
23184.p2 |
23184l1 |
23184.p |
23184l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$0.815913798$ |
$1$ |
|
$7$ |
$8192$ |
$0.538673$ |
$-22180932/3703$ |
$0.93538$ |
$3.05350$ |
$[0, 0, 0, -531, 5346]$ |
\(y^2=x^3-531x+5346\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(9, 36)]$ |
23184.q1 |
23184m1 |
23184.q |
23184m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.158951924$ |
$1$ |
|
$2$ |
$75264$ |
$1.660042$ |
$-4124632486295808/70140333767$ |
$1.00005$ |
$4.51179$ |
$[0, 0, 0, -75771, 8145009]$ |
\(y^2=x^3-75771x+8145009\) |
46.2.0.a.1 |
$[(160, 343)]$ |
23184.r1 |
23184a1 |
23184.r |
23184a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8448$ |
$0.371841$ |
$135834624/85169$ |
$1.16958$ |
$2.74275$ |
$[0, 0, 0, 204, -324]$ |
\(y^2=x^3+204x-324\) |
966.2.0.? |
$[]$ |
23184.s1 |
23184bo1 |
23184.s |
23184bo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{15} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.636230$ |
$-25727239787761/101406816$ |
$0.94715$ |
$4.55614$ |
$[0, 0, 0, -88563, -10178894]$ |
\(y^2=x^3-88563x-10178894\) |
3864.2.0.? |
$[]$ |
23184.t1 |
23184y1 |
23184.t |
23184y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{19} \cdot 3^{3} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.737852735$ |
$1$ |
|
$6$ |
$16128$ |
$0.802239$ |
$212776173/1009792$ |
$1.15280$ |
$3.25966$ |
$[0, 0, 0, 597, 15066]$ |
\(y^2=x^3+597x+15066\) |
3864.2.0.? |
$[(21, 192)]$ |
23184.u1 |
23184be1 |
23184.u |
23184be |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{13} \cdot 3^{3} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5376$ |
$0.237348$ |
$-14348907/322$ |
$0.98053$ |
$2.79875$ |
$[0, 0, 0, -243, -1486]$ |
\(y^2=x^3-243x-1486\) |
3864.2.0.? |
$[]$ |
23184.v1 |
23184i1 |
23184.v |
23184i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.938822774$ |
$1$ |
|
$2$ |
$5760$ |
$0.198394$ |
$-157216000/1127$ |
$0.78840$ |
$2.81058$ |
$[0, 0, 0, -255, 1577]$ |
\(y^2=x^3-255x+1577\) |
46.2.0.a.1 |
$[(8, 7)]$ |
23184.w1 |
23184bf1 |
23184.w |
23184bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.104107054$ |
$1$ |
|
$2$ |
$2880$ |
$0.045894$ |
$32000/1127$ |
$0.75706$ |
$2.37083$ |
$[0, 0, 0, 15, -173]$ |
\(y^2=x^3+15x-173\) |
46.2.0.a.1 |
$[(18, 77)]$ |
23184.x1 |
23184h2 |
23184.x |
23184h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$4.668083144$ |
$1$ |
|
$3$ |
$184320$ |
$2.018818$ |
$263822189935250/149429406721$ |
$1.01471$ |
$4.71809$ |
$[0, 0, 0, -152715, 3349082]$ |
\(y^2=x^3-152715x+3349082\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(863, 22678)]$ |
23184.x2 |
23184h1 |
23184.x |
23184h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$2.334041572$ |
$1$ |
|
$5$ |
$92160$ |
$1.672245$ |
$7953970437500/4703287687$ |
$1.05161$ |
$4.30076$ |
$[0, 0, 0, 37725, 416306]$ |
\(y^2=x^3+37725x+416306\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(35, 1334)]$ |
23184.y1 |
23184bm1 |
23184.y |
23184bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6400$ |
$0.444624$ |
$512000/483$ |
$0.74348$ |
$2.79126$ |
$[0, 0, 0, 240, 1136]$ |
\(y^2=x^3+240x+1136\) |
966.2.0.? |
$[]$ |
23184.z1 |
23184bg1 |
23184.z |
23184bg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{21} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1932$ |
$16$ |
$0$ |
$4.546098378$ |
$1$ |
|
$2$ |
$380160$ |
$2.437466$ |
$-47327266415721472000/1222082060283$ |
$1.04050$ |
$5.71478$ |
$[0, 0, 0, -4306440, 3439817516]$ |
\(y^2=x^3-4306440x+3439817516\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 966.8.0.?, 1932.16.0.? |
$[(1202, 362)]$ |
23184.z2 |
23184bg2 |
23184.z |
23184bg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{11} \cdot 7^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1932$ |
$16$ |
$0$ |
$13.63829513$ |
$1$ |
|
$0$ |
$1140480$ |
$2.986774$ |
$-1400832679220224000/150124273180279587$ |
$1.09251$ |
$5.88458$ |
$[0, 0, 0, -1332120, 8074892828]$ |
\(y^2=x^3-1332120x+8074892828\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 966.8.0.?, 1932.16.0.? |
$[(172214/23, 1065965834/23)]$ |
23184.ba1 |
23184bh2 |
23184.ba |
23184bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{19} \cdot 3^{6} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.555466191$ |
$1$ |
|
$7$ |
$129024$ |
$1.763206$ |
$24553362849625/1755162752$ |
$0.94866$ |
$4.55082$ |
$[0, 0, 0, -87195, 9278026]$ |
\(y^2=x^3-87195x+9278026\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(125, 576)]$ |
23184.ba2 |
23184bh1 |
23184.ba |
23184bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{26} \cdot 3^{6} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$3.110932382$ |
$1$ |
|
$5$ |
$64512$ |
$1.416634$ |
$4533086375/60669952$ |
$0.94157$ |
$4.00359$ |
$[0, 0, 0, 4965, 633418]$ |
\(y^2=x^3+4965x+633418\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(-49, 522)]$ |
23184.bb1 |
23184bn4 |
23184.bb |
23184bn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{27} \cdot 3^{8} \cdot 7^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$5529600$ |
$3.602814$ |
$385693937170561837203625/2159357734550274048$ |
$1.04188$ |
$6.88661$ |
$[0, 0, 0, -218374635, -1236062404582]$ |
\(y^2=x^3-218374635x-1236062404582\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.3, $\ldots$ |
$[]$ |
23184.bb2 |
23184bn2 |
23184.bb |
23184bn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{12} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1843200$ |
$3.053509$ |
$155355156733986861625/8291568305839392$ |
$1.02028$ |
$6.10888$ |
$[0, 0, 0, -16127355, 23750985386]$ |
\(y^2=x^3-16127355x+23750985386\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.9, $\ldots$ |
$[]$ |
23184.bb3 |
23184bn3 |
23184.bb |
23184bn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{42} \cdot 3^{10} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2764800$ |
$3.256241$ |
$-8152944444844179625/235342826399858688$ |
$1.05206$ |
$6.20659$ |
$[0, 0, 0, -6037995, -40734523366]$ |
\(y^2=x^3-6037995x-40734523366\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.3, $\ldots$ |
$[]$ |
23184.bb4 |
23184bn1 |
23184.bb |
23184bn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{18} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$2.706936$ |
$11079872671250375/324440155855872$ |
$1.03171$ |
$5.54732$ |
$[0, 0, 0, 668805, 1482636458]$ |
\(y^2=x^3+668805x+1482636458\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.9, $\ldots$ |
$[]$ |
23184.bc1 |
23184q1 |
23184.bc |
23184q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{18} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$685440$ |
$2.639629$ |
$100718081964000000/37453512751940327$ |
$1.16350$ |
$5.46991$ |
$[0, 0, 0, 219825, -1004823927]$ |
\(y^2=x^3+219825x-1004823927\) |
46.2.0.a.1 |
$[]$ |
23184.bd1 |
23184bt1 |
23184.bd |
23184bt |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{11} \cdot 7^{5} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.324675092$ |
$1$ |
|
$18$ |
$57600$ |
$1.222868$ |
$-7023616000/93934323$ |
$0.97401$ |
$3.77984$ |
$[0, 0, 0, -2280, 205756]$ |
\(y^2=x^3-2280x+205756\) |
966.2.0.? |
$[(110, 1134), (-127/2, 3969/2)]$ |
23184.be1 |
23184bw2 |
23184.be |
23184bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3^{8} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$0.567131655$ |
$1$ |
|
$11$ |
$73728$ |
$1.566299$ |
$5182207647625/91449288$ |
$0.93670$ |
$4.39605$ |
$[0, 0, 0, -51915, 4482938]$ |
\(y^2=x^3-51915x+4482938\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(-43, 2576)]$ |