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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
12696.a1 |
12696i2 |
12696.a |
12696i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$67584$ |
$1.501972$ |
$19307236/1587$ |
$[0, -1, 0, -29800, 1843996]$ |
\(y^2=x^3-x^2-29800x+1843996\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
12696.a2 |
12696i1 |
12696.a |
12696i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33792$ |
$1.155399$ |
$21296/207$ |
$[0, -1, 0, 1940, 130036]$ |
\(y^2=x^3-x^2+1940x+130036\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
12696.b1 |
12696h1 |
12696.b |
12696h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$92$ |
$16$ |
$0$ |
$0.714020694$ |
$1$ |
|
$12$ |
$3840$ |
$0.145427$ |
$92/81$ |
$[0, -1, 0, 8, 316]$ |
\(y^2=x^3-x^2+8x+316\) |
4.8.0.b.1, 92.16.0.? |
$[(10, 36), (1, 18)]$ |
12696.c1 |
12696n1 |
12696.c |
12696n |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.255049977$ |
$1$ |
|
$7$ |
$2304$ |
$0.128994$ |
$4499456/27$ |
$[0, -1, 0, -199, 1144]$ |
\(y^2=x^3-x^2-199x+1144\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[(9, 1)]$ |
12696.c2 |
12696n2 |
12696.c |
12696n |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.627524988$ |
$1$ |
|
$9$ |
$4608$ |
$0.475568$ |
$-21296/729$ |
$[0, -1, 0, -84, 2340]$ |
\(y^2=x^3-x^2-84x+2340\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[(8, 46)]$ |
12696.d1 |
12696e1 |
12696.d |
12696e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$728640$ |
$2.947304$ |
$-778918741604594/27$ |
$[0, -1, 0, -104145464, 409115098764]$ |
\(y^2=x^3-x^2-104145464x+409115098764\) |
24.2.0.b.1 |
$[]$ |
12696.e1 |
12696f1 |
12696.e |
12696f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$0.962452$ |
$-1190106112/243$ |
$[0, -1, 0, -9169, -334955]$ |
\(y^2=x^3-x^2-9169x-334955\) |
6.2.0.a.1 |
$[]$ |
12696.f1 |
12696m1 |
12696.f |
12696m |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$6$ |
$0$ |
$1.253090465$ |
$1$ |
|
$2$ |
$1152$ |
$-0.054289$ |
$23552/27$ |
$[0, -1, 0, 31, -75]$ |
\(y^2=x^3-x^2+31x-75\) |
6.6.0.b.1 |
$[(3, 6)]$ |
12696.g1 |
12696o3 |
12696.g |
12696o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$10.94122393$ |
$1$ |
|
$1$ |
$202752$ |
$2.186817$ |
$45989074372/7555707$ |
$[0, -1, 0, -397984, -81644900]$ |
\(y^2=x^3-x^2-397984x-81644900\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(142374/7, 52338572/7)]$ |
12696.g2 |
12696o2 |
12696.g |
12696o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$276$ |
$48$ |
$0$ |
$5.470611965$ |
$1$ |
|
$5$ |
$101376$ |
$1.840244$ |
$4135597648/385641$ |
$[0, -1, 0, -112324, 13308484]$ |
\(y^2=x^3-x^2-112324x+13308484\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 92.24.0.?, 276.48.0.? |
$[(2884, 153846)]$ |
12696.g3 |
12696o1 |
12696.g |
12696o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 23^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$10.94122393$ |
$1$ |
|
$3$ |
$50688$ |
$1.493671$ |
$61604313088/621$ |
$[0, -1, 0, -109679, 14017344]$ |
\(y^2=x^3-x^2-109679x+14017344\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 138.6.0.?, 184.24.0.?, $\ldots$ |
$[(90313/11, 24808315/11)]$ |
12696.g4 |
12696o4 |
12696.g |
12696o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$10.94122393$ |
$1$ |
|
$1$ |
$202752$ |
$2.186817$ |
$1640689628/12223143$ |
$[0, -1, 0, 131016, 62852508]$ |
\(y^2=x^3-x^2+131016x+62852508\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[(3923862/37, 7843351824/37)]$ |
12696.h1 |
12696a2 |
12696.h |
12696a |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$473088$ |
$2.737068$ |
$10963069081334500/1156923$ |
$[0, -1, 0, -24676968, -47174799204]$ |
\(y^2=x^3-x^2-24676968x-47174799204\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
12696.h2 |
12696a1 |
12696.h |
12696a |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$236544$ |
$2.390495$ |
$-10627137250000/110008287$ |
$[0, -1, 0, -1538508, -740537676]$ |
\(y^2=x^3-x^2-1538508x-740537676\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
12696.i1 |
12696d2 |
12696.i |
12696d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$101376$ |
$2.005219$ |
$80919167474/14283$ |
$[0, -1, 0, -605352, 181458540]$ |
\(y^2=x^3-x^2-605352x+181458540\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[]$ |
12696.i2 |
12696d1 |
12696.i |
12696d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$1.658646$ |
$-28756228/16767$ |
$[0, -1, 0, -34032, 3435228]$ |
\(y^2=x^3-x^2-34032x+3435228\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[]$ |
12696.j1 |
12696k1 |
12696.j |
12696k |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$6$ |
$0$ |
$6.573887805$ |
$1$ |
|
$0$ |
$26496$ |
$1.513458$ |
$23552/27$ |
$[0, -1, 0, 16223, 782293]$ |
\(y^2=x^3-x^2+16223x+782293\) |
6.6.0.b.1 |
$[(19/3, 24398/3)]$ |
12696.k1 |
12696j5 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$1104$ |
$192$ |
$1$ |
$3.035150282$ |
$1$ |
|
$1$ |
$45056$ |
$1.615541$ |
$3065617154/9$ |
$[0, -1, 0, -203312, 35352972]$ |
\(y^2=x^3-x^2-203312x+35352972\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[(837/2, 11109/2)]$ |
12696.k2 |
12696j3 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$1104$ |
$192$ |
$1$ |
$6.070300564$ |
$1$ |
|
$3$ |
$22528$ |
$1.268969$ |
$28756228/3$ |
$[0, -1, 0, -34032, -2404932]$ |
\(y^2=x^3-x^2-34032x-2404932\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(1118, 36820)]$ |
12696.k3 |
12696j4 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$552$ |
$192$ |
$1$ |
$6.070300564$ |
$1$ |
|
$3$ |
$22528$ |
$1.268969$ |
$1556068/81$ |
$[0, -1, 0, -12872, 540540]$ |
\(y^2=x^3-x^2-12872x+540540\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 92.24.0.?, $\ldots$ |
$[(3998/7, 56160/7)]$ |
12696.k4 |
12696j2 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$552$ |
$192$ |
$1$ |
$3.035150282$ |
$1$ |
|
$7$ |
$11264$ |
$0.922395$ |
$35152/9$ |
$[0, -1, 0, -2292, -30780]$ |
\(y^2=x^3-x^2-2292x-30780\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(60, 210)]$ |
12696.k5 |
12696j1 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$1104$ |
$192$ |
$1$ |
$6.070300564$ |
$1$ |
|
$1$ |
$5632$ |
$0.575821$ |
$2048/3$ |
$[0, -1, 0, 353, -3272]$ |
\(y^2=x^3-x^2+353x-3272\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(249/5, 4207/5)]$ |
12696.k6 |
12696j6 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$1104$ |
$192$ |
$1$ |
$12.14060112$ |
$1$ |
|
$1$ |
$45056$ |
$1.615541$ |
$207646/6561$ |
$[0, -1, 0, 8288, 2123308]$ |
\(y^2=x^3-x^2+8288x+2123308\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 92.12.0.?, $\ldots$ |
$[(-594467/91, 809253180/91)]$ |
12696.l1 |
12696c1 |
12696.l |
12696c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$485760$ |
$2.530201$ |
$-1190106112/243$ |
$[0, -1, 0, -4850577, 4114201653]$ |
\(y^2=x^3-x^2-4850577x+4114201653\) |
6.2.0.a.1 |
$[]$ |
12696.m1 |
12696b1 |
12696.m |
12696b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$31680$ |
$1.379557$ |
$-778918741604594/27$ |
$[0, -1, 0, -196872, -33556500]$ |
\(y^2=x^3-x^2-196872x-33556500\) |
24.2.0.b.1 |
$[]$ |
12696.n1 |
12696l1 |
12696.n |
12696l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$18.68494951$ |
$1$ |
|
$1$ |
$52992$ |
$1.696741$ |
$4499456/27$ |
$[0, -1, 0, -105447, -13075920]$ |
\(y^2=x^3-x^2-105447x-13075920\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[(131091185/533, 912405256495/533)]$ |
12696.n2 |
12696l2 |
12696.n |
12696l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$9.342474755$ |
$1$ |
|
$1$ |
$105984$ |
$2.043316$ |
$-21296/729$ |
$[0, -1, 0, -44612, -28114332]$ |
\(y^2=x^3-x^2-44612x-28114332\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[(105044/13, 29793798/13)]$ |
12696.o1 |
12696g1 |
12696.o |
12696g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$88320$ |
$1.713173$ |
$92/81$ |
$[0, -1, 0, 4056, -3877668]$ |
\(y^2=x^3-x^2+4056x-3877668\) |
4.16.0-4.b.1.1 |
$[]$ |
12696.p1 |
12696s2 |
12696.p |
12696s |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.257113564$ |
$1$ |
|
$17$ |
$46080$ |
$1.364647$ |
$15043017316604/243$ |
$[0, 1, 0, -119224, 15805376]$ |
\(y^2=x^3+x^2-119224x+15805376\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[(200, 24), (215, 396)]$ |
12696.p2 |
12696s1 |
12696.p |
12696s |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.314278391$ |
$1$ |
|
$33$ |
$23040$ |
$1.018072$ |
$-14647977776/59049$ |
$[0, 1, 0, -7444, 245600]$ |
\(y^2=x^3+x^2-7444x+245600\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[(38, 138), (8, 432)]$ |
12696.q1 |
12696t2 |
12696.q |
12696t |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$211968$ |
$2.137875$ |
$3370318/81$ |
$[0, 1, 0, -482624, -126503904]$ |
\(y^2=x^3+x^2-482624x-126503904\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[]$ |
12696.q2 |
12696t1 |
12696.q |
12696t |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$105984$ |
$1.791302$ |
$4/9$ |
$[0, 1, 0, 4056, -6196608]$ |
\(y^2=x^3+x^2+4056x-6196608\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
12696.r1 |
12696r2 |
12696.r |
12696r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.570127$ |
$3370318/81$ |
$[0, 1, 0, -912, 10080]$ |
\(y^2=x^3+x^2-912x+10080\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[]$ |
12696.r2 |
12696r1 |
12696.r |
12696r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.223554$ |
$4/9$ |
$[0, 1, 0, 8, 512]$ |
\(y^2=x^3+x^2+8x+512\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
12696.s1 |
12696p2 |
12696.s |
12696p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1059840$ |
$2.932392$ |
$15043017316604/243$ |
$[0, 1, 0, -63069672, -192808566720]$ |
\(y^2=x^3+x^2-63069672x-192808566720\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[]$ |
12696.s2 |
12696p1 |
12696.s |
12696p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$529920$ |
$2.585819$ |
$-14647977776/59049$ |
$[0, 1, 0, -3938052, -3019719168]$ |
\(y^2=x^3+x^2-3938052x-3019719168\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
12696.t1 |
12696q3 |
12696.t |
12696q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{11} \cdot 3 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$64$ |
$2$ |
$1$ |
$135168$ |
$2.030407$ |
$1378334691074/69$ |
$[0, 1, 0, -1557552, -748709472]$ |
\(y^2=x^3+x^2-1557552x-748709472\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.5, 184.24.0.?, 552.48.0.? |
$[]$ |
12696.t2 |
12696q4 |
12696.t |
12696q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{11} \cdot 3 \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$135168$ |
$2.030407$ |
$1522096994/839523$ |
$[0, 1, 0, -160992, 5331360]$ |
\(y^2=x^3+x^2-160992x+5331360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 92.12.0.?, $\ldots$ |
$[]$ |
12696.t3 |
12696q2 |
12696.t |
12696q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$67584$ |
$1.683832$ |
$676449508/4761$ |
$[0, 1, 0, -97512, -11681280]$ |
\(y^2=x^3+x^2-97512x-11681280\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 92.24.0.?, 552.48.0.? |
$[]$ |
12696.t4 |
12696q1 |
12696.t |
12696q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 23^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$33792$ |
$1.337259$ |
$-35152/1863$ |
$[0, 1, 0, -2292, -407232]$ |
\(y^2=x^3+x^2-2292x-407232\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[]$ |