| 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 |
| 30912.a1 |
30912b1 |
30912.a |
30912b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{5} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$6.793555120$ |
$1$ |
|
$0$ |
$24000$ |
$0.472095$ |
$-98867482624/20696067$ |
$1.05025$ |
$2.88084$ |
$[0, -1, 0, -385, -3269]$ |
\(y^2=x^3-x^2-385x-3269\) |
966.2.0.? |
$[(790/3, 21457/3)]$ |
| 30912.b1 |
30912l1 |
30912.b |
30912l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3 \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26112$ |
$0.483117$ |
$-3525581824/23667$ |
$0.85715$ |
$3.06598$ |
$[0, -1, 0, -805, -8579]$ |
\(y^2=x^3-x^2-805x-8579\) |
966.2.0.? |
$[]$ |
| 30912.c1 |
30912g1 |
30912.c |
30912g |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{27} \cdot 3 \cdot 7^{11} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$760320$ |
$2.383850$ |
$83228502970940543/69854999176704$ |
$1.01004$ |
$4.97510$ |
$[0, -1, 0, 582143, 114531841]$ |
\(y^2=x^3-x^2+582143x+114531841\) |
3864.2.0.? |
$[]$ |
| 30912.d1 |
30912bl1 |
30912.d |
30912bl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{31} \cdot 3^{3} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.141775158$ |
$1$ |
|
$2$ |
$299520$ |
$1.979124$ |
$-14943832855786297/85501108224$ |
$0.98256$ |
$4.80995$ |
$[0, -1, 0, -328417, 72908161]$ |
\(y^2=x^3-x^2-328417x+72908161\) |
3864.2.0.? |
$[(717, 14336)]$ |
| 30912.e1 |
30912bi2 |
30912.e |
30912bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{29} \cdot 3^{16} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1622016$ |
$2.789204$ |
$1733490909744055732873/99355964553216$ |
$1.06274$ |
$5.93691$ |
$[0, -1, 0, -16016929, -24666157631]$ |
\(y^2=x^3-x^2-16016929x-24666157631\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 30912.e2 |
30912bi1 |
30912.e |
30912bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{40} \cdot 3^{8} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$811008$ |
$2.442631$ |
$-354499561600764553/101902222098432$ |
$1.00156$ |
$5.15426$ |
$[0, -1, 0, -943649, -431338047]$ |
\(y^2=x^3-x^2-943649x-431338047\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 30912.f1 |
30912f4 |
30912.f |
30912f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{4} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3864$ |
$48$ |
$0$ |
$2.045648355$ |
$1$ |
|
$17$ |
$28672$ |
$0.844495$ |
$13044257864/4473063$ |
$0.94311$ |
$3.25845$ |
$[0, -1, 0, -1569, -14751]$ |
\(y^2=x^3-x^2-1569x-14751\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 184.24.0.?, 3864.48.0.? |
$[(-15, 72), (-31, 56)]$ |
| 30912.f2 |
30912f2 |
30912.f |
30912f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3864$ |
$48$ |
$0$ |
$2.045648355$ |
$1$ |
|
$27$ |
$14336$ |
$0.497921$ |
$7392083392/233289$ |
$0.92763$ |
$3.00239$ |
$[0, -1, 0, -649, 6409]$ |
\(y^2=x^3-x^2-649x+6409\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 184.24.0.?, 1932.24.0.?, $\ldots$ |
$[(19, 24), (25, 72)]$ |
| 30912.f3 |
30912f1 |
30912.f |
30912f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3864$ |
$48$ |
$0$ |
$8.182593420$ |
$1$ |
|
$3$ |
$7168$ |
$0.151348$ |
$462248527168/483$ |
$0.90451$ |
$3.00015$ |
$[0, -1, 0, -644, 6510]$ |
\(y^2=x^3-x^2-644x+6510\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 184.24.0.?, $\ldots$ |
$[(31, 124), (69/2, 123/2)]$ |
| 30912.f4 |
30912f3 |
30912.f |
30912f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3 \cdot 7 \cdot 23^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3864$ |
$48$ |
$0$ |
$8.182593420$ |
$1$ |
|
$11$ |
$28672$ |
$0.844495$ |
$23393656/5876661$ |
$0.93933$ |
$3.23401$ |
$[0, -1, 0, 191, 21025]$ |
\(y^2=x^3-x^2+191x+21025\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 184.24.0.?, 3864.48.0.? |
$[(-9, 136), (11, 156)]$ |
| 30912.g1 |
30912bt1 |
30912.g |
30912bt |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$-0.244038$ |
$-12487168/4347$ |
$0.76372$ |
$2.02827$ |
$[0, -1, 0, -19, -35]$ |
\(y^2=x^3-x^2-19x-35\) |
966.2.0.? |
$[]$ |
| 30912.h1 |
30912p2 |
30912.h |
30912p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{6} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.001521819$ |
$1$ |
|
$7$ |
$313344$ |
$1.976328$ |
$461019267341732744/115946266023$ |
$1.03123$ |
$4.93954$ |
$[0, -1, 0, -515009, -142053471]$ |
\(y^2=x^3-x^2-515009x-142053471\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(-416, 161)]$ |
| 30912.h2 |
30912p1 |
30912.h |
30912p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$0.500760909$ |
$1$ |
|
$11$ |
$156672$ |
$1.629753$ |
$-613864936718272/456986789343$ |
$0.97510$ |
$4.17796$ |
$[0, -1, 0, -28329, -2765655]$ |
\(y^2=x^3-x^2-28329x-2765655\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(297, 3864)]$ |
| 30912.i1 |
30912q2 |
30912.i |
30912q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{8} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.346814376$ |
$1$ |
|
$5$ |
$40960$ |
$1.007521$ |
$26860713266/7394247$ |
$0.89749$ |
$3.46240$ |
$[0, -1, 0, -3169, -48671]$ |
\(y^2=x^3-x^2-3169x-48671\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(64, 81)]$ |
| 30912.i2 |
30912q1 |
30912.i |
30912q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{4} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.173407188$ |
$1$ |
|
$7$ |
$20480$ |
$0.660947$ |
$224727548/299943$ |
$0.85386$ |
$2.95853$ |
$[0, -1, 0, 511, -5247]$ |
\(y^2=x^3-x^2+511x-5247\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(32, 207)]$ |
| 30912.j1 |
30912bo1 |
30912.j |
30912bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 7^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.507186213$ |
$1$ |
|
$2$ |
$21120$ |
$0.711686$ |
$-12487168/613472307$ |
$1.06929$ |
$3.08043$ |
$[0, -1, 0, -19, -9527]$ |
\(y^2=x^3-x^2-19x-9527\) |
966.2.0.? |
$[(32, 147)]$ |
| 30912.k1 |
30912j4 |
30912.k |
30912j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{2} \cdot 7^{2} \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$184$ |
$48$ |
$0$ |
$2.868657182$ |
$1$ |
|
$15$ |
$131072$ |
$1.507244$ |
$369937818893666/123409881$ |
$1.03140$ |
$4.38421$ |
$[0, -1, 0, -75969, -8031807]$ |
\(y^2=x^3-x^2-75969x-8031807\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 184.48.0.? |
$[(-159, 48), (-157, 28)]$ |
| 30912.k2 |
30912j3 |
30912.k |
30912j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{2} \cdot 7^{8} \cdot 23 \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$184$ |
$48$ |
$0$ |
$2.868657182$ |
$1$ |
|
$25$ |
$131072$ |
$1.507244$ |
$48260105780546/1193313807$ |
$0.94726$ |
$4.18721$ |
$[0, -1, 0, -38529, 2860929]$ |
\(y^2=x^3-x^2-38529x+2860929\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 184.48.0.? |
$[(99, 84), (129, 144)]$ |
| 30912.k3 |
30912j2 |
30912.k |
30912j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$184$ |
$48$ |
$0$ |
$2.868657182$ |
$1$ |
|
$25$ |
$65536$ |
$1.160669$ |
$267100692772/102880449$ |
$1.00917$ |
$3.61753$ |
$[0, -1, 0, -5409, -86751]$ |
\(y^2=x^3-x^2-5409x-86751\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 92.24.0.?, 184.48.0.? |
$[(-45, 252), (-40, 253)]$ |
| 30912.k4 |
30912j1 |
30912.k |
30912j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$184$ |
$48$ |
$0$ |
$2.868657182$ |
$1$ |
|
$13$ |
$32768$ |
$0.814096$ |
$8284506032/7394247$ |
$0.88021$ |
$3.14750$ |
$[0, -1, 0, 1071, -10287]$ |
\(y^2=x^3-x^2+1071x-10287\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(17, 112), (73, 672)]$ |
| 30912.l1 |
30912bf1 |
30912.l |
30912bf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{9} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.433498$ |
$-25727239787761/101406816$ |
$0.94715$ |
$4.19406$ |
$[0, -1, 0, -39361, 3029089]$ |
\(y^2=x^3-x^2-39361x+3029089\) |
3864.2.0.? |
$[]$ |
| 30912.m1 |
30912bg1 |
30912.m |
30912bg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3 \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.060327$ |
$-8/483$ |
$0.91340$ |
$2.32442$ |
$[0, -1, 0, -1, -191]$ |
\(y^2=x^3-x^2-x-191\) |
3864.2.0.? |
$[]$ |
| 30912.n1 |
30912c1 |
30912.n |
30912c |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17920$ |
$0.551926$ |
$128000/352107$ |
$0.97283$ |
$2.89492$ |
$[0, -1, 0, 27, 3645]$ |
\(y^2=x^3-x^2+27x+3645\) |
966.2.0.? |
$[]$ |
| 30912.o1 |
30912d2 |
30912.o |
30912d |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{21} \cdot 3^{2} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.363567$ |
$5182207647625/91449288$ |
$0.93670$ |
$4.03843$ |
$[0, -1, 0, -23073, 1335969]$ |
\(y^2=x^3-x^2-23073x+1335969\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[]$ |
| 30912.o2 |
30912d1 |
30912.o |
30912d |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{24} \cdot 3^{4} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.016993$ |
$-15625/5842368$ |
$1.15175$ |
$3.43480$ |
$[0, -1, 0, -33, 59553]$ |
\(y^2=x^3-x^2-33x+59553\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
| 30912.p1 |
30912n4 |
30912.p |
30912n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{33} \cdot 3^{2} \cdot 7^{12} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$3.181145196$ |
$1$ |
|
$5$ |
$5529600$ |
$3.400082$ |
$385693937170561837203625/2159357734550274048$ |
$1.04188$ |
$6.45968$ |
$[0, -1, 0, -97055393, -366208360671]$ |
\(y^2=x^3-x^2-97055393x-366208360671\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.b.1, 24.48.0-24.y.1.3, $\ldots$ |
$[(-5704, 42189)]$ |
| 30912.p2 |
30912n2 |
30912.p |
30912n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3^{6} \cdot 7^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$1.060381732$ |
$1$ |
|
$7$ |
$1843200$ |
$2.850777$ |
$155355156733986861625/8291568305839392$ |
$1.02028$ |
$5.70359$ |
$[0, -1, 0, -7167713, 7039718241]$ |
\(y^2=x^3-x^2-7167713x+7039718241\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.b.1, 24.48.0-24.y.1.1, $\ldots$ |
$[(1907, 17388)]$ |
| 30912.p3 |
30912n3 |
30912.p |
30912n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{48} \cdot 3^{4} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$6.362290393$ |
$1$ |
|
$1$ |
$2764800$ |
$3.053509$ |
$-8152944444844179625/235342826399858688$ |
$1.05206$ |
$5.79859$ |
$[0, -1, 0, -2683553, -12068593887]$ |
\(y^2=x^3-x^2-2683553x-12068593887\) |
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.1.5, $\ldots$ |
$[(25853/2, 3923577/2)]$ |
| 30912.p4 |
30912n1 |
30912.p |
30912n |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{28} \cdot 3^{12} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$552$ |
$96$ |
$1$ |
$2.120763464$ |
$1$ |
|
$3$ |
$921600$ |
$2.504204$ |
$11079872671250375/324440155855872$ |
$1.03171$ |
$5.15766$ |
$[0, -1, 0, 297247, 439200609]$ |
\(y^2=x^3-x^2+297247x+439200609\) |
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.1.11, $\ldots$ |
$[(7561, 659456)]$ |
| 30912.q1 |
30912bq1 |
30912.q |
30912bq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{5} \cdot 7^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.020136$ |
$-7023616000/93934323$ |
$0.97401$ |
$3.43936$ |
$[0, -1, 0, -1013, -60627]$ |
\(y^2=x^3-x^2-1013x-60627\) |
966.2.0.? |
$[]$ |
| 30912.r1 |
30912h1 |
30912.r |
30912h |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{15} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$2.234734$ |
$-47327266415721472000/1222082060283$ |
$1.04050$ |
$5.32046$ |
$[0, -1, 0, -1913973, 1019843181]$ |
\(y^2=x^3-x^2-1913973x+1019843181\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 966.8.0.?, 3864.16.0.? |
$[]$ |
| 30912.r2 |
30912h2 |
30912.r |
30912h |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{5} \cdot 7^{3} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1140480$ |
$2.784042$ |
$-1400832679220224000/150124273180279587$ |
$1.09251$ |
$5.48554$ |
$[0, -1, 0, -592053, 2392758189]$ |
\(y^2=x^3-x^2-592053x+2392758189\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 966.8.0.?, 3864.16.0.? |
$[]$ |
| 30912.s1 |
30912bm2 |
30912.s |
30912bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$0.951416499$ |
$1$ |
|
$7$ |
$172032$ |
$1.647072$ |
$1566789944863250/925924041$ |
$0.96737$ |
$4.52382$ |
$[0, -1, 0, -122913, 16618689]$ |
\(y^2=x^3-x^2-122913x+16618689\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(171, 756)]$ |
| 30912.s2 |
30912bm1 |
30912.s |
30912bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1.902832999$ |
$1$ |
|
$3$ |
$86016$ |
$1.300497$ |
$-416618810500/598934007$ |
$0.92944$ |
$3.78126$ |
$[0, -1, 0, -6273, 359073]$ |
\(y^2=x^3-x^2-6273x+359073\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(29, 448)]$ |
| 30912.t1 |
30912m1 |
30912.t |
30912m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.995905845$ |
$1$ |
|
$2$ |
$1600$ |
$-0.451256$ |
$512000/483$ |
$0.74348$ |
$1.67377$ |
$[0, -1, 0, 7, 3]$ |
\(y^2=x^3-x^2+7x+3\) |
966.2.0.? |
$[(6, 15)]$ |
| 30912.u1 |
30912br1 |
30912.u |
30912br |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{17} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$770304$ |
$2.417912$ |
$-145765603223714807432/10998738542547$ |
$1.01183$ |
$5.49632$ |
$[0, -1, 0, -3508545, 2530858113]$ |
\(y^2=x^3-x^2-3508545x+2530858113\) |
3864.2.0.? |
$[]$ |
| 30912.v1 |
30912e4 |
30912.v |
30912e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{19} \cdot 3^{6} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.416710$ |
$632678989847546725777/80515134$ |
$1.02372$ |
$5.83942$ |
$[0, -1, 0, -11446337, -14901731775]$ |
\(y^2=x^3-x^2-11446337x-14901731775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.3, 92.12.0.?, $\ldots$ |
$[]$ |
| 30912.v2 |
30912e3 |
30912.v |
30912e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{19} \cdot 3^{24} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.416710$ |
$231331938231569617/90942310746882$ |
$1.00907$ |
$5.07397$ |
$[0, -1, 0, -818497, -161129663]$ |
\(y^2=x^3-x^2-818497x-161129663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 30912.v3 |
30912e2 |
30912.v |
30912e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{12} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$368640$ |
$2.070137$ |
$154502321244119857/55101928644$ |
$1.07228$ |
$5.03493$ |
$[0, -1, 0, -715457, -232618815]$ |
\(y^2=x^3-x^2-715457x-232618815\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 30912.v4 |
30912e1 |
30912.v |
30912e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{6} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.723562$ |
$-23771111713777/22848457968$ |
$1.05630$ |
$4.28042$ |
$[0, -1, 0, -38337, -4700223]$ |
\(y^2=x^3-x^2-38337x-4700223\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 30912.w1 |
30912bk6 |
30912.w |
30912bk |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{16} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.194 |
2B |
$2576$ |
$192$ |
$1$ |
$8.251961081$ |
$1$ |
|
$1$ |
$786432$ |
$2.455696$ |
$54804145548726848737/637608031452$ |
$1.01569$ |
$5.60282$ |
$[0, -1, 0, -5064577, 4388596513]$ |
\(y^2=x^3-x^2-5064577x+4388596513\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.2.6, 28.12.0.h.1, $\ldots$ |
$[(293239/15, 297712/15)]$ |
| 30912.w2 |
30912bk4 |
30912.w |
30912bk |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3^{2} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.215 |
2B |
$2576$ |
$192$ |
$1$ |
$16.50392216$ |
$1$ |
|
$1$ |
$393216$ |
$2.109123$ |
$614716917569296417/19093020912$ |
$0.99887$ |
$5.16850$ |
$[0, -1, 0, -1133697, -464225247]$ |
\(y^2=x^3-x^2-1133697x-464225247\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.5, 92.12.0.?, 112.96.0.?, $\ldots$ |
$[(28663951/35, 153298110624/35)]$ |
| 30912.w3 |
30912bk3 |
30912.w |
30912bk |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.80 |
2Cs |
$1288$ |
$192$ |
$1$ |
$4.125980540$ |
$1$ |
|
$5$ |
$393216$ |
$2.109123$ |
$14447092394873377/1439452851984$ |
$0.98473$ |
$4.80573$ |
$[0, -1, 0, -324737, 64914465]$ |
\(y^2=x^3-x^2-324737x+64914465\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.3, 28.24.0.c.1, 56.96.0-56.j.2.7, $\ldots$ |
$[(93557, 28615680)]$ |
| 30912.w4 |
30912bk2 |
30912.w |
30912bk |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{4} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.94 |
2Cs |
$1288$ |
$192$ |
$1$ |
$8.251961081$ |
$1$ |
|
$3$ |
$196608$ |
$1.762548$ |
$169967019783457/26337394944$ |
$0.96308$ |
$4.37602$ |
$[0, -1, 0, -73857, -6586335]$ |
\(y^2=x^3-x^2-73857x-6586335\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.1, 56.96.0-56.v.2.7, 92.24.0.?, $\ldots$ |
$[(15591/7, 488160/7)]$ |
| 30912.w5 |
30912bk1 |
30912.w |
30912bk |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{34} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.180 |
2B |
$2576$ |
$192$ |
$1$ |
$4.125980540$ |
$1$ |
|
$3$ |
$98304$ |
$1.415974$ |
$221115865823/664731648$ |
$0.94588$ |
$3.87202$ |
$[0, -1, 0, 8063, -573407]$ |
\(y^2=x^3-x^2+8063x-573407\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.1.10, 46.6.0.a.1, $\ldots$ |
$[(151, 2016)]$ |
| 30912.w6 |
30912bk5 |
30912.w |
30912bk |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{20} \cdot 3^{4} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.210 |
2B |
$2576$ |
$192$ |
$1$ |
$2.062990270$ |
$1$ |
|
$3$ |
$786432$ |
$2.455696$ |
$27207619911317663/177609314617308$ |
$1.01748$ |
$5.09234$ |
$[0, -1, 0, 401023, 313269537]$ |
\(y^2=x^3-x^2+401023x+313269537\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(661, 29440)]$ |
| 30912.x1 |
30912a4 |
30912.x |
30912a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1.131914378$ |
$1$ |
|
$7$ |
$61440$ |
$1.195469$ |
$375523199368136/91287$ |
$0.95087$ |
$4.25157$ |
$[0, -1, 0, -48097, 4076065]$ |
\(y^2=x^3-x^2-48097x+4076065\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 92.12.0.?, $\ldots$ |
$[(129, 40)]$ |
| 30912.x2 |
30912a2 |
30912.x |
30912a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$2.263828757$ |
$1$ |
|
$9$ |
$30720$ |
$0.848895$ |
$741709148608/11431161$ |
$0.90956$ |
$3.44814$ |
$[0, -1, 0, -3017, 63945]$ |
\(y^2=x^3-x^2-3017x+63945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 92.12.0.?, $\ldots$ |
$[(37, 40)]$ |
| 30912.x3 |
30912a1 |
30912.x |
30912a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$4.527657515$ |
$1$ |
|
$3$ |
$15360$ |
$0.502322$ |
$89194791232/41136627$ |
$0.91828$ |
$2.84102$ |
$[0, -1, 0, -372, -1122]$ |
\(y^2=x^3-x^2-372x-1122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(83, 730)]$ |
| 30912.x4 |
30912a3 |
30912.x |
30912a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3 \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$552$ |
$48$ |
$0$ |
$4.527657515$ |
$1$ |
|
$3$ |
$61440$ |
$1.195469$ |
$-57512456/397771269$ |
$1.01830$ |
$3.64192$ |
$[0, -1, 0, -257, 173793]$ |
\(y^2=x^3-x^2-257x+173793\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 92.12.0.?, $\ldots$ |
$[(-32, 385)]$ |
