| 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 |
| 12240.a1 |
12240bf2 |
12240.a |
12240bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$5.196276573$ |
$1$ |
|
$3$ |
$24576$ |
$1.218166$ |
$82142689923/425$ |
$0.98211$ |
$4.60421$ |
$[0, 0, 0, -39123, -2978478]$ |
\(y^2=x^3-39123x-2978478\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(247, 1558)]$ |
| 12240.a2 |
12240bf1 |
12240.a |
12240bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.598138286$ |
$1$ |
|
$5$ |
$12288$ |
$0.871593$ |
$-19034163/1445$ |
$0.82765$ |
$3.72807$ |
$[0, 0, 0, -2403, -48222]$ |
\(y^2=x^3-2403x-48222\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(111, 1026)]$ |
| 12240.b1 |
12240bb2 |
12240.b |
12240bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.043709$ |
$4000752/1445$ |
$0.74512$ |
$2.55438$ |
$[0, 0, 0, -63, -118]$ |
\(y^2=x^3-63x-118\) |
2.3.0.a.1, 60.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[ ]$ |
| 12240.b2 |
12240bb1 |
12240.b |
12240bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$-0.302865$ |
$442368/425$ |
$0.78591$ |
$2.02586$ |
$[0, 0, 0, 12, -13]$ |
\(y^2=x^3+12x-13\) |
2.3.0.a.1, 60.6.0.b.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[ ]$ |
| 12240.c1 |
12240a1 |
12240.c |
12240a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.148491203$ |
$1$ |
|
$2$ |
$4608$ |
$0.401321$ |
$-5038848/2125$ |
$0.81216$ |
$3.04279$ |
$[0, 0, 0, -243, 1917]$ |
\(y^2=x^3-243x+1917\) |
510.2.0.? |
$[(12, 27)]$ |
| 12240.d1 |
12240p1 |
12240.d |
12240p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.632936269$ |
$1$ |
|
$2$ |
$4608$ |
$0.380040$ |
$52577024/57375$ |
$0.83544$ |
$2.88363$ |
$[0, 0, 0, 177, 853]$ |
\(y^2=x^3+177x+853\) |
510.2.0.? |
$[(-4, 9)]$ |
| 12240.e1 |
12240bp1 |
12240.e |
12240bp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{13} \cdot 5 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.927457729$ |
$1$ |
|
$2$ |
$5376$ |
$0.478237$ |
$180472064/185895$ |
$0.85597$ |
$3.01466$ |
$[0, 0, 0, 267, 1483]$ |
\(y^2=x^3+267x+1483\) |
510.2.0.? |
$[(2, 45)]$ |
| 12240.f1 |
12240q1 |
12240.f |
12240q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{17} \cdot 5 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$4.386133922$ |
$1$ |
|
$2$ |
$84480$ |
$1.941452$ |
$-6016521998966814976/4351616055$ |
$1.01934$ |
$5.58890$ |
$[0, 0, 0, -859323, -306607687]$ |
\(y^2=x^3-859323x-306607687\) |
510.2.0.? |
$[(32152, 5762745)]$ |
| 12240.g1 |
12240h1 |
12240.g |
12240h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.111494$ |
$19169739408976/10625$ |
$0.94563$ |
$4.53879$ |
$[0, 0, 0, -31863, -2189162]$ |
\(y^2=x^3-31863x-2189162\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 34.6.0.a.1, 68.24.0.f.1, $\ldots$ |
$[ ]$ |
| 12240.g2 |
12240h2 |
12240.g |
12240h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.458067$ |
$-4711672753924/112890625$ |
$0.94623$ |
$4.54129$ |
$[0, 0, 0, -31683, -2215118]$ |
\(y^2=x^3-31683x-2215118\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[ ]$ |
| 12240.h1 |
12240bs4 |
12240.h |
12240bs |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{13} \cdot 3^{8} \cdot 5^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$2.314034$ |
$15916310615119911121/2210850$ |
$1.02634$ |
$6.28139$ |
$[0, 0, 0, -7546323, -7979050222]$ |
\(y^2=x^3-7546323x-7979050222\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.t.1.14, $\ldots$ |
$[ ]$ |
| 12240.h2 |
12240bs3 |
12240.h |
12240bs |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$1.967459$ |
$-3884775383991601/1448254140$ |
$0.99304$ |
$5.39773$ |
$[0, 0, 0, -471603, -124696078]$ |
\(y^2=x^3-471603x-124696078\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
$[ ]$ |
| 12240.h3 |
12240bs2 |
12240.h |
12240bs |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.764727$ |
$31080575499121/1549125000$ |
$0.96847$ |
$4.88470$ |
$[0, 0, 0, -94323, -10659022]$ |
\(y^2=x^3-94323x-10659022\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.t.1.13, $\ldots$ |
$[ ]$ |
| 12240.h4 |
12240bs1 |
12240.h |
12240bs |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.418154$ |
$1723683599/62424000$ |
$0.97642$ |
$4.28129$ |
$[0, 0, 0, 3597, -651598]$ |
\(y^2=x^3+3597x-651598\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$ |
$[ ]$ |
| 12240.i1 |
12240bt1 |
12240.i |
12240bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.736552$ |
$-1771561/17000$ |
$0.99970$ |
$3.41714$ |
$[0, 0, 0, -363, 11162]$ |
\(y^2=x^3-363x+11162\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.? |
$[ ]$ |
| 12240.i2 |
12240bt2 |
12240.i |
12240bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$1.285858$ |
$1256216039/12577280$ |
$0.94869$ |
$4.10647$ |
$[0, 0, 0, 3237, -286198]$ |
\(y^2=x^3+3237x-286198\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 680.2.0.?, 2040.16.0.? |
$[ ]$ |
| 12240.j1 |
12240i1 |
12240.j |
12240i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.233805$ |
$-2/85$ |
$0.94658$ |
$2.77437$ |
$[0, 0, 0, -3, -542]$ |
\(y^2=x^3-3x-542\) |
680.2.0.? |
$[ ]$ |
| 12240.k1 |
12240j2 |
12240.k |
12240j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.124102$ |
$11683450802/2390625$ |
$0.90838$ |
$3.97321$ |
$[0, 0, 0, -5403, -122902]$ |
\(y^2=x^3-5403x-122902\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[ ]$ |
| 12240.k2 |
12240j1 |
12240.k |
12240j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.777528$ |
$54607676/108375$ |
$0.86707$ |
$3.42381$ |
$[0, 0, 0, 717, -11518]$ |
\(y^2=x^3+717x-11518\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[ ]$ |
| 12240.l1 |
12240br1 |
12240.l |
12240br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.268746$ |
$112377856/6885$ |
$0.88146$ |
$2.96433$ |
$[0, 0, 0, -228, -1253]$ |
\(y^2=x^3-228x-1253\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 170.6.0.?, 340.24.0.?, $\ldots$ |
$[ ]$ |
| 12240.l2 |
12240br2 |
12240.l |
12240br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.615320$ |
$3286064/65025$ |
$0.86717$ |
$3.25573$ |
$[0, 0, 0, 177, -5222]$ |
\(y^2=x^3+177x-5222\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 340.12.0.?, 680.48.0.? |
$[ ]$ |
| 12240.m1 |
12240g3 |
12240.m |
12240g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{10} \cdot 3^{22} \cdot 5 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$4080$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.653471$ |
$6913728144004/3658971285$ |
$0.98918$ |
$4.57773$ |
$[0, 0, 0, -36003, -768782]$ |
\(y^2=x^3-36003x-768782\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.i.1, $\ldots$ |
$[ ]$ |
| 12240.m2 |
12240g2 |
12240.m |
12240g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$2040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.306896$ |
$5258429611216/47403225$ |
$0.93621$ |
$4.40137$ |
$[0, 0, 0, -20703, 1137598]$ |
\(y^2=x^3-20703x+1137598\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$ |
$[ ]$ |
| 12240.m3 |
12240g1 |
12240.m |
12240g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$4080$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.960323$ |
$83587439220736/6885$ |
$1.05748$ |
$4.40067$ |
$[0, 0, 0, -20658, 1142827]$ |
\(y^2=x^3-20658x+1142827\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.i.1, $\ldots$ |
$[ ]$ |
| 12240.m4 |
12240g4 |
12240.m |
12240g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$4080$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.653471$ |
$-34008619684/4228250625$ |
$1.00942$ |
$4.58409$ |
$[0, 0, 0, -6123, 2709322]$ |
\(y^2=x^3-6123x+2709322\) |
2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 680.48.1.?, 1360.96.3.?, $\ldots$ |
$[ ]$ |
| 12240.n1 |
12240b2 |
12240.n |
12240b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.638761$ |
$3572225388/265625$ |
$0.88811$ |
$3.42352$ |
$[0, 0, 0, -963, 10738]$ |
\(y^2=x^3-963x+10738\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[ ]$ |
| 12240.n2 |
12240b1 |
12240.n |
12240b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.292187$ |
$2963088/36125$ |
$0.84886$ |
$2.84111$ |
$[0, 0, 0, 57, 742]$ |
\(y^2=x^3+57x+742\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[ ]$ |
| 12240.o1 |
12240bm7 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{13} \cdot 3^{22} \cdot 5^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.97 |
2B |
$8160$ |
$768$ |
$13$ |
$14.72500205$ |
$1$ |
|
$1$ |
$393216$ |
$2.729195$ |
$161572377633716256481/914742821250$ |
$1.03379$ |
$6.52761$ |
$[0, 0, 0, -16339683, -25422100382]$ |
\(y^2=x^3-16339683x-25422100382\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.x.1, $\ldots$ |
$[(-47637537/143, 58065970/143)]$ |
| 12240.o2 |
12240bm4 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{16} \cdot 3^{7} \cdot 5 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.8 |
2B |
$8160$ |
$768$ |
$13$ |
$3.681250514$ |
$1$ |
|
$3$ |
$98304$ |
$2.036045$ |
$1139466686381936641/4080$ |
$1.01700$ |
$6.00125$ |
$[0, 0, 0, -3133443, 2134916098]$ |
\(y^2=x^3-3133443x+2134916098\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.g.1, $\ldots$ |
$[(1047, 1390)]$ |
| 12240.o3 |
12240bm5 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$7.362501028$ |
$1$ |
|
$3$ |
$196608$ |
$2.382618$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.64962$ |
$[0, 0, 0, -1039683, -382120382]$ |
\(y^2=x^3-1039683x-382120382\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 12.24.0-4.b.1.3, 24.96.0-8.k.2.3, $\ldots$ |
$[(70559/5, 17305002/5)]$ |
| 12240.o4 |
12240bm3 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$3.681250514$ |
$1$ |
|
$7$ |
$98304$ |
$2.036045$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.13577$ |
$[0, 0, 0, -207363, 29212162]$ |
\(y^2=x^3-207363x+29212162\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 12.48.0-4.b.1.1, 24.96.0-8.b.1.1, $\ldots$ |
$[(111, 2750)]$ |
| 12240.o5 |
12240bm2 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.6 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1.840625257$ |
$1$ |
|
$9$ |
$49152$ |
$1.689472$ |
$278202094583041/16646400$ |
$0.97964$ |
$5.11756$ |
$[0, 0, 0, -195843, 33357058]$ |
\(y^2=x^3-195843x+33357058\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 12.24.0-4.b.1.1, 16.48.0.d.1, $\ldots$ |
$[(239, 450)]$ |
| 12240.o6 |
12240bm1 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{28} \cdot 3^{7} \cdot 5 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.8 |
2B |
$8160$ |
$768$ |
$13$ |
$3.681250514$ |
$1$ |
|
$3$ |
$24576$ |
$1.342899$ |
$-56667352321/16711680$ |
$1.00176$ |
$4.25837$ |
$[0, 0, 0, -11523, 584962]$ |
\(y^2=x^3-11523x+584962\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.g.1, $\ldots$ |
$[(98, 630)]$ |
| 12240.o7 |
12240bm6 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.199 |
2B |
$8160$ |
$768$ |
$13$ |
$7.362501028$ |
$1$ |
|
$3$ |
$196608$ |
$2.382618$ |
$3168685387909439/6278181696900$ |
$1.01379$ |
$5.47007$ |
$[0, 0, 0, 440637, 175271362]$ |
\(y^2=x^3+440637x+175271362\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 12.24.0-4.d.1.1, 20.24.0-4.d.1.2, $\ldots$ |
$[(2703, 145310)]$ |
| 12240.o8 |
12240bm8 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{13} \cdot 3^{10} \cdot 5^{16} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.144 |
2B |
$8160$ |
$768$ |
$13$ |
$14.72500205$ |
$1$ |
|
$1$ |
$393216$ |
$2.729195$ |
$31077313442863199/420227050781250$ |
$1.04291$ |
$5.94873$ |
$[0, 0, 0, 943197, -1667423198]$ |
\(y^2=x^3+943197x-1667423198\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 12.12.0-4.c.1.2, 16.48.0.u.1, $\ldots$ |
$[(11414471/65, 39415979394/65)]$ |
| 12240.p1 |
12240bd1 |
12240.p |
12240bd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$2.025813264$ |
$1$ |
|
$2$ |
$6912$ |
$0.627954$ |
$-3966493992192/614125$ |
$0.95223$ |
$3.72672$ |
$[0, 0, 0, -2493, -47917]$ |
\(y^2=x^3-2493x-47917\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 510.8.0.?, 1020.16.0.? |
$[(58, 51)]$ |
| 12240.p2 |
12240bd2 |
12240.p |
12240bd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$6.077439794$ |
$1$ |
|
$0$ |
$20736$ |
$1.177261$ |
$64012032/33203125$ |
$1.02846$ |
$3.97684$ |
$[0, 0, 0, 567, -155493]$ |
\(y^2=x^3+567x-155493\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 510.8.0.?, 1020.16.0.? |
$[(1266/5, 6939/5)]$ |
| 12240.q1 |
12240n1 |
12240.q |
12240n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$0.774789951$ |
$1$ |
|
$2$ |
$7680$ |
$0.710068$ |
$-73934023936/516375$ |
$0.90123$ |
$3.65501$ |
$[0, 0, 0, -1983, 34193]$ |
\(y^2=x^3-1983x+34193\) |
510.2.0.? |
$[(16, 81)]$ |
| 12240.r1 |
12240bc1 |
12240.r |
12240bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.482639732$ |
$1$ |
|
$2$ |
$2304$ |
$0.106094$ |
$6912/85$ |
$0.71260$ |
$2.60392$ |
$[0, 0, 0, 27, 243]$ |
\(y^2=x^3+27x+243\) |
510.2.0.? |
$[(18, 81)]$ |
| 12240.s1 |
12240bn1 |
12240.s |
12240bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$0.932952358$ |
$1$ |
|
$7$ |
$9216$ |
$0.703162$ |
$47045881/6800$ |
$0.98870$ |
$3.46095$ |
$[0, 0, 0, -1083, 11882]$ |
\(y^2=x^3-1083x+11882\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 34.6.0.a.1, 68.12.0.e.1, $\ldots$ |
$[(31, 90)]$ |
| 12240.s2 |
12240bn2 |
12240.s |
12240bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1.865904717$ |
$1$ |
|
$5$ |
$18432$ |
$1.049736$ |
$214921799/722500$ |
$0.91035$ |
$3.78920$ |
$[0, 0, 0, 1797, 64298]$ |
\(y^2=x^3+1797x+64298\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 68.12.0.d.1, 204.24.0.?, $\ldots$ |
$[(-1, 250)]$ |
| 12240.t1 |
12240ba2 |
12240.t |
12240ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$153600$ |
$2.250896$ |
$13217291350697580147/90312500000$ |
$1.07245$ |
$5.91149$ |
$[0, 0, 0, -2364363, 1399319162]$ |
\(y^2=x^3-2364363x+1399319162\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[ ]$ |
| 12240.t2 |
12240ba1 |
12240.t |
12240ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{5} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$1.904324$ |
$-3038732943445107/267267200000$ |
$1.01018$ |
$5.03644$ |
$[0, 0, 0, -144843, 22772858]$ |
\(y^2=x^3-144843x+22772858\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[ ]$ |
| 12240.u1 |
12240o2 |
12240.u |
12240o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$0.442644348$ |
$1$ |
|
$11$ |
$10240$ |
$0.873354$ |
$20183398562/3825$ |
$0.90582$ |
$4.03129$ |
$[0, 0, 0, -6483, 200882]$ |
\(y^2=x^3-6483x+200882\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(37, 108)]$ |
| 12240.u2 |
12240o1 |
12240.u |
12240o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$0.885288697$ |
$1$ |
|
$9$ |
$5120$ |
$0.526780$ |
$-7086244/4335$ |
$0.93340$ |
$3.18919$ |
$[0, 0, 0, -363, 3818]$ |
\(y^2=x^3-363x+3818\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(11, 34)]$ |
| 12240.v1 |
12240bo2 |
12240.v |
12240bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{19} \cdot 3^{12} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$4.643197624$ |
$1$ |
|
$3$ |
$129024$ |
$2.081131$ |
$172735174415217961/39657600$ |
$1.00968$ |
$5.80082$ |
$[0, 0, 0, -1670763, -831228262]$ |
\(y^2=x^3-1670763x-831228262\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(8629, 792000)]$ |
| 12240.v2 |
12240bo1 |
12240.v |
12240bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{26} \cdot 3^{9} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$9.286395249$ |
$1$ |
|
$1$ |
$64512$ |
$1.734558$ |
$-41713327443241/639221760$ |
$0.96929$ |
$4.91873$ |
$[0, 0, 0, -104043, -13087078]$ |
\(y^2=x^3-104043x-13087078\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(66383/11, 12970150/11)]$ |
| 12240.w1 |
12240l1 |
12240.w |
12240l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$-0.078854$ |
$-256/255$ |
$0.82958$ |
$2.37566$ |
$[0, 0, 0, -3, -83]$ |
\(y^2=x^3-3x-83\) |
510.2.0.? |
$[ ]$ |
| 12240.x1 |
12240k1 |
12240.x |
12240k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{7} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$1.587786$ |
$-158384129218816/93270234375$ |
$0.97776$ |
$4.54315$ |
$[0, 0, 0, -25563, 2234513]$ |
\(y^2=x^3-25563x+2234513\) |
510.2.0.? |
$[ ]$ |
| 12240.y1 |
12240bu1 |
12240.y |
12240bu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.023306$ |
$-12872772702976/3984375$ |
$0.94778$ |
$4.20197$ |
$[0, 0, 0, -11073, 448603]$ |
\(y^2=x^3-11073x+448603\) |
510.2.0.? |
$[ ]$ |
