| 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 |
| 9768.a1 |
9768h2 |
9768.a |
9768h |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.940680466$ |
$1$ |
|
$9$ |
$7680$ |
$0.547273$ |
$9220796644/4472523$ |
$0.86736$ |
$3.25206$ |
$[0, -1, 0, -440, -1284]$ |
\(y^2=x^3-x^2-440x-1284\) |
2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.? |
$[(-14, 44)]$ |
| 9768.a2 |
9768h1 |
9768.a |
9768h |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1.881360932$ |
$1$ |
|
$5$ |
$3840$ |
$0.200699$ |
$427694384/296703$ |
$0.81354$ |
$2.76690$ |
$[0, -1, 0, 100, -204]$ |
\(y^2=x^3-x^2+100x-204\) |
2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.? |
$[(6, 24)]$ |
| 9768.b1 |
9768g3 |
9768.b |
9768g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{4} \cdot 11 \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3256$ |
$48$ |
$0$ |
$2.051744472$ |
$1$ |
|
$3$ |
$16384$ |
$1.232525$ |
$796420363297828/1669877451$ |
$1.02835$ |
$4.48930$ |
$[0, -1, 0, -19464, -1036836]$ |
\(y^2=x^3-x^2-19464x-1036836\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 44.24.0-44.h.1.1, 296.24.0.?, 3256.48.0.? |
$[(250, 3108)]$ |
| 9768.b2 |
9768g2 |
9768.b |
9768g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1628$ |
$48$ |
$0$ |
$4.103488945$ |
$1$ |
|
$3$ |
$8192$ |
$0.885951$ |
$1920672547792/1086823089$ |
$1.06575$ |
$3.68231$ |
$[0, -1, 0, -1644, -3276]$ |
\(y^2=x^3-x^2-1644x-3276\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.2, 148.24.0.?, 1628.48.0.? |
$[(-107/2, 1155/2)]$ |
| 9768.b3 |
9768g1 |
9768.b |
9768g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{4} \cdot 37 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3256$ |
$48$ |
$0$ |
$2.051744472$ |
$1$ |
|
$7$ |
$4096$ |
$0.539377$ |
$7760117512192/43879077$ |
$0.91447$ |
$3.53250$ |
$[0, -1, 0, -1039, 13180]$ |
\(y^2=x^3-x^2-1039x+13180\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 74.6.0.?, 88.24.0.?, 148.24.0.?, $\ldots$ |
$[(-5, 135)]$ |
| 9768.b4 |
9768g4 |
9768.b |
9768g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{10} \cdot 3^{16} \cdot 11 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3256$ |
$48$ |
$0$ |
$8.206977891$ |
$1$ |
|
$1$ |
$16384$ |
$1.232525$ |
$29600220537212/17520015447$ |
$0.96901$ |
$4.13093$ |
$[0, -1, 0, 6496, -32580]$ |
\(y^2=x^3-x^2+6496x-32580\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(1405/6, 114065/6)]$ |
| 9768.c1 |
9768n3 |
9768.c |
9768n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{11} \cdot 3^{3} \cdot 11 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9768$ |
$48$ |
$0$ |
$19.78475174$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$1.552282$ |
$5565899381416019714/10989$ |
$0.98328$ |
$5.52831$ |
$[0, -1, 0, -468864, -123415380]$ |
\(y^2=x^3-x^2-468864x-123415380\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[(261065821/574, 262600660239/574)]$ |
| 9768.c2 |
9768n2 |
9768.c |
9768n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$9768$ |
$48$ |
$0$ |
$9.892375870$ |
$1$ |
|
$3$ |
$24576$ |
$1.205709$ |
$2717811254229988/120758121$ |
$0.94185$ |
$4.62291$ |
$[0, -1, 0, -29304, -1920996]$ |
\(y^2=x^3-x^2-29304x-1920996\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 296.24.0.?, 9768.48.0.? |
$[(101005/14, 30004743/14)]$ |
| 9768.c3 |
9768n4 |
9768.c |
9768n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9768$ |
$48$ |
$0$ |
$19.78475174$ |
$1$ |
|
$1$ |
$49152$ |
$1.552282$ |
$-1163236610689634/287890624197$ |
$0.94612$ |
$4.64474$ |
$[0, -1, 0, -27824, -2125236]$ |
\(y^2=x^3-x^2-27824x-2125236\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 296.24.0.?, 9768.48.0.? |
$[(327857917/798, 5561040725855/798)]$ |
| 9768.c4 |
9768n1 |
9768.c |
9768n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 37^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9768$ |
$48$ |
$0$ |
$4.946187935$ |
$1$ |
|
$3$ |
$12288$ |
$0.859136$ |
$3078397198672/556625817$ |
$0.88783$ |
$3.73366$ |
$[0, -1, 0, -1924, -26300]$ |
\(y^2=x^3-x^2-1924x-26300\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 66.6.0.a.1, 132.24.0.?, 296.24.0.?, $\ldots$ |
$[(2013/2, 89873/2)]$ |
| 9768.d1 |
9768d2 |
9768.d |
9768d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1.323836277$ |
$1$ |
|
$5$ |
$2560$ |
$0.156117$ |
$2885794000/45177$ |
$0.80454$ |
$2.97471$ |
$[0, -1, 0, -188, 1044]$ |
\(y^2=x^3-x^2-188x+1044\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(10, 8)]$ |
| 9768.d2 |
9768d1 |
9768.d |
9768d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.661918138$ |
$1$ |
|
$7$ |
$1280$ |
$-0.190456$ |
$87808000/40293$ |
$0.80137$ |
$2.29276$ |
$[0, -1, 0, -23, -12]$ |
\(y^2=x^3-x^2-23x-12\) |
2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.? |
$[(-1, 3)]$ |
| 9768.e1 |
9768b2 |
9768.e |
9768b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.834576$ |
$1021697727568/589929813$ |
$0.97624$ |
$3.61360$ |
$[0, -1, 0, -1332, 1332]$ |
\(y^2=x^3-x^2-1332x+1332\) |
2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.? |
$[ ]$ |
| 9768.e2 |
9768b1 |
9768.e |
9768b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{4} \cdot 3^{4} \cdot 11^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.488002$ |
$254467069952/147593259$ |
$1.00399$ |
$3.16049$ |
$[0, -1, 0, 333, 0]$ |
\(y^2=x^3-x^2+333x\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[ ]$ |
| 9768.f1 |
9768a3 |
9768.f |
9768a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{4} \cdot 11^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7168$ |
$0.752524$ |
$165256339972/43879077$ |
$0.87728$ |
$3.56620$ |
$[0, -1, 0, -1152, -10692]$ |
\(y^2=x^3-x^2-1152x-10692\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 74.6.0.?, 148.24.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
| 9768.f2 |
9768a2 |
9768.f |
9768a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4884$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3584$ |
$0.405951$ |
$30285104848/1490841$ |
$0.83582$ |
$3.23060$ |
$[0, -1, 0, -412, 3220]$ |
\(y^2=x^3-x^2-412x+3220\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 148.24.0.?, 4884.48.0.? |
$[ ]$ |
| 9768.f3 |
9768a1 |
9768.f |
9768a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1792$ |
$0.059377$ |
$467147020288/1221$ |
$0.88815$ |
$3.22662$ |
$[0, -1, 0, -407, 3300]$ |
\(y^2=x^3-x^2-407x+3300\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 148.12.0.?, $\ldots$ |
$[ ]$ |
| 9768.f4 |
9768a4 |
9768.f |
9768a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{10} \cdot 3 \cdot 11 \cdot 37^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$7168$ |
$0.752524$ |
$1640689628/61847313$ |
$0.90915$ |
$3.51707$ |
$[0, -1, 0, 248, 11932]$ |
\(y^2=x^3-x^2+248x+11932\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 132.24.0.?, 296.24.0.?, 9768.48.0.? |
$[ ]$ |
| 9768.g1 |
9768e1 |
9768.g |
9768e |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{2} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1.671244145$ |
$1$ |
|
$3$ |
$15360$ |
$1.173887$ |
$31545211678394368/40212454293$ |
$0.97113$ |
$4.43707$ |
$[0, -1, 0, -16587, -815832]$ |
\(y^2=x^3-x^2-16587x-815832\) |
2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.? |
$[(203, 2035)]$ |
| 9768.g2 |
9768e2 |
9768.g |
9768e |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$3.342488291$ |
$1$ |
|
$3$ |
$30720$ |
$1.520460$ |
$-771465925484368/2286062230419$ |
$0.95299$ |
$4.53214$ |
$[0, -1, 0, -12132, -1268460]$ |
\(y^2=x^3-x^2-12132x-1268460\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[(1070, 34780)]$ |
| 9768.h1 |
9768o3 |
9768.h |
9768o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$30720$ |
$1.485123$ |
$94813865536654372/2379261357$ |
$0.96133$ |
$5.00956$ |
$[0, -1, 0, -95752, -11372228]$ |
\(y^2=x^3-x^2-95752x-11372228\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 74.6.0.?, 148.24.0.?, $\ldots$ |
$[ ]$ |
| 9768.h2 |
9768o4 |
9768.h |
9768o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.485123$ |
$1940646005944132/214144522119$ |
$0.98688$ |
$4.58625$ |
$[0, -1, 0, -26192, 1476540]$ |
\(y^2=x^3-x^2-26192x+1476540\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[ ]$ |
| 9768.h3 |
9768o2 |
9768.h |
9768o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{6} \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$444$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$1.138548$ |
$103573344013648/14611732641$ |
$0.96295$ |
$4.11636$ |
$[0, -1, 0, -6212, -161820]$ |
\(y^2=x^3-x^2-6212x-161820\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 148.24.0.?, 444.48.0.? |
$[ ]$ |
| 9768.h4 |
9768o1 |
9768.h |
9768o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$7680$ |
$0.791975$ |
$1750364874752/6122883987$ |
$0.93996$ |
$3.54656$ |
$[0, -1, 0, 633, -13968]$ |
\(y^2=x^3-x^2+633x-13968\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 296.24.0.?, $\ldots$ |
$[ ]$ |
| 9768.i1 |
9768f1 |
9768.i |
9768f |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3 \cdot 11^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1.137618350$ |
$1$ |
|
$3$ |
$5376$ |
$0.650807$ |
$202119559492/5466417$ |
$0.87042$ |
$3.58812$ |
$[0, -1, 0, -1232, 16668]$ |
\(y^2=x^3-x^2-1232x+16668\) |
2.3.0.a.1, 66.6.0.a.1, 296.6.0.?, 9768.12.0.? |
$[(-14, 176)]$ |
| 9768.i2 |
9768f2 |
9768.i |
9768f |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{11} \cdot 3^{2} \cdot 11^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$2.275236701$ |
$1$ |
|
$3$ |
$10752$ |
$0.997381$ |
$820344814/589929813$ |
$0.96657$ |
$3.83962$ |
$[0, -1, 0, 248, 52780]$ |
\(y^2=x^3-x^2+248x+52780\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(97, 990)]$ |
| 9768.j1 |
9768c2 |
9768.j |
9768c |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7680$ |
$0.529471$ |
$1757334737104/406593$ |
$0.87707$ |
$3.67263$ |
$[0, -1, 0, -1596, -24012]$ |
\(y^2=x^3-x^2-1596x-24012\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[ ]$ |
| 9768.j2 |
9768c1 |
9768.j |
9768c |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.182898$ |
$9538484224/3263733$ |
$0.86009$ |
$2.80304$ |
$[0, -1, 0, -111, -252]$ |
\(y^2=x^3-x^2-111x-252\) |
2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.? |
$[ ]$ |
| 9768.k1 |
9768m2 |
9768.k |
9768m |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.395828$ |
$55365148804/40293$ |
$1.17863$ |
$3.44717$ |
$[0, 1, 0, -800, -8976]$ |
\(y^2=x^3+x^2-800x-8976\) |
2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.? |
$[ ]$ |
| 9768.k2 |
9768m1 |
9768.k |
9768m |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.049254$ |
$94875856/45177$ |
$0.85119$ |
$2.60298$ |
$[0, 1, 0, -60, -96]$ |
\(y^2=x^3+x^2-60x-96\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[ ]$ |
| 9768.l1 |
9768j2 |
9768.l |
9768j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$0.852319328$ |
$1$ |
|
$5$ |
$2048$ |
$0.246523$ |
$1917170512/362637$ |
$0.80512$ |
$2.93019$ |
$[0, 1, 0, -164, -720]$ |
\(y^2=x^3+x^2-164x-720\) |
2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.? |
$[(-8, 12)]$ |
| 9768.l2 |
9768j1 |
9768.l |
9768j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1.704638656$ |
$1$ |
|
$3$ |
$1024$ |
$-0.100051$ |
$61011968/135531$ |
$0.81077$ |
$2.36669$ |
$[0, 1, 0, 21, -54]$ |
\(y^2=x^3+x^2+21x-54\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[(6, 18)]$ |
| 9768.m1 |
9768p4 |
9768.m |
9768p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{3} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$104448$ |
$2.221619$ |
$91299169320689012753668/443223$ |
$1.09980$ |
$6.50928$ |
$[0, 1, 0, -9455424, 11187867600]$ |
\(y^2=x^3+x^2-9455424x+11187867600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 9768.m2 |
9768p3 |
9768.m |
9768p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{12} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$104448$ |
$2.221619$ |
$23051997945147370468/1045096649448093$ |
$0.98720$ |
$5.60754$ |
$[0, 1, 0, -597624, 170517312]$ |
\(y^2=x^3+x^2-597624x+170517312\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 74.6.0.?, 88.24.0.?, 148.24.0.?, $\ldots$ |
$[ ]$ |
| 9768.m3 |
9768p2 |
9768.m |
9768p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1628$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$52224$ |
$1.875044$ |
$89159486481392095312/196446627729$ |
$0.98614$ |
$5.60388$ |
$[0, 1, 0, -590964, 174662496]$ |
\(y^2=x^3+x^2-590964x+174662496\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.b.1.1, 148.24.0.?, 1628.48.0.? |
$[ ]$ |
| 9768.m4 |
9768p1 |
9768.m |
9768p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{4} \cdot 3^{8} \cdot 11^{3} \cdot 37^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$26112$ |
$1.528469$ |
$-336645064644892672/16366468897251$ |
$0.98448$ |
$4.70357$ |
$[0, 1, 0, -36519, 2784546]$ |
\(y^2=x^3+x^2-36519x+2784546\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 44.24.0-44.g.1.2, 296.24.0.?, $\ldots$ |
$[ ]$ |
| 9768.n1 |
9768q2 |
9768.n |
9768q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{14} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.543257703$ |
$1$ |
|
$7$ |
$21504$ |
$1.266077$ |
$73808262062500/21413352213$ |
$1.15864$ |
$4.23038$ |
$[0, 1, 0, -8808, 221760]$ |
\(y^2=x^3+x^2-8808x+221760\) |
2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.? |
$[(-24, 648)]$ |
| 9768.n2 |
9768q1 |
9768.n |
9768q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.271628851$ |
$1$ |
|
$11$ |
$10752$ |
$0.919504$ |
$226900390642000/32934033$ |
$0.91666$ |
$4.20173$ |
$[0, 1, 0, -8068, 276224]$ |
\(y^2=x^3+x^2-8068x+276224\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(50, 18)]$ |
| 9768.o1 |
9768i2 |
9768.o |
9768i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3^{5} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.439588178$ |
$1$ |
|
$7$ |
$7680$ |
$0.907636$ |
$13895296694500/40252707$ |
$0.90630$ |
$4.04861$ |
$[0, 1, 0, -5048, 136032]$ |
\(y^2=x^3+x^2-5048x+136032\) |
2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.? |
$[(28, 132)]$ |
| 9768.o2 |
9768i1 |
9768.o |
9768i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.879176357$ |
$1$ |
|
$7$ |
$3840$ |
$0.561063$ |
$-2885794000/24032943$ |
$0.86944$ |
$3.27228$ |
$[0, 1, 0, -188, 3840]$ |
\(y^2=x^3+x^2-188x+3840\) |
2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.? |
$[(7, 54)]$ |
| 9768.p1 |
9768l1 |
9768.p |
9768l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$-0.035664$ |
$8546879488/40293$ |
$0.84154$ |
$2.79110$ |
$[0, 1, 0, -107, -462]$ |
\(y^2=x^3+x^2-107x-462\) |
2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.? |
$[ ]$ |
| 9768.p2 |
9768l2 |
9768.p |
9768l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.310909$ |
$-61918288/1219779$ |
$0.84274$ |
$2.94366$ |
$[0, 1, 0, -52, -880]$ |
\(y^2=x^3+x^2-52x-880\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[ ]$ |
| 9768.q1 |
9768k1 |
9768.q |
9768k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{14} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$559104$ |
$2.693745$ |
$1418854149881269000523696128/21413352213$ |
$1.05574$ |
$7.10713$ |
$[0, 1, 0, -58989947, 174367746138]$ |
\(y^2=x^3+x^2-58989947x+174367746138\) |
2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.? |
$[ ]$ |
| 9768.q2 |
9768k2 |
9768.q |
9768k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{28} \cdot 11 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1118208$ |
$3.040318$ |
$-88678136326676754811067728/344501617579257699$ |
$1.03067$ |
$7.10713$ |
$[0, 1, 0, -58989892, 174368087600]$ |
\(y^2=x^3+x^2-58989892x+174368087600\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[ ]$ |
