| 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 |
| 5355.a1 |
5355i1 |
5355.a |
5355i |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.737386021$ |
$1$ |
|
$4$ |
$672$ |
$-0.238918$ |
$-4096/595$ |
$0.74386$ |
$2.38055$ |
$[0, 0, 1, -3, -32]$ |
\(y^2+y=x^3-3x-32\) |
1190.2.0.? |
$[(4, 4)]$ |
| 5355.b1 |
5355t1 |
5355.b |
5355t |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5^{5} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.061778222$ |
$1$ |
|
$12$ |
$23520$ |
$1.273413$ |
$9019694698496/43750721875$ |
$0.95241$ |
$4.47497$ |
$[0, 0, 1, 3903, 254992]$ |
\(y^2+y=x^3+3903x+254992\) |
1190.2.0.? |
$[(307, 5512)]$ |
| 5355.c1 |
5355e2 |
5355.c |
5355e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$0.291899441$ |
$1$ |
|
$10$ |
$2048$ |
$0.426875$ |
$51520374361/212415$ |
$1.00183$ |
$3.64054$ |
$[1, -1, 1, -698, 7242]$ |
\(y^2+xy+y=x^3-x^2-698x+7242\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[(2, 75)]$ |
| 5355.c2 |
5355e1 |
5355.c |
5355e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$0.583798882$ |
$1$ |
|
$7$ |
$1024$ |
$0.080301$ |
$-1771561/26775$ |
$0.91070$ |
$2.82784$ |
$[1, -1, 1, -23, 222]$ |
\(y^2+xy+y=x^3-x^2-23x+222\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[(2, 12)]$ |
| 5355.d1 |
5355h3 |
5355.d |
5355h |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$0.405855928$ |
$1$ |
|
$10$ |
$4096$ |
$0.843466$ |
$2912566550041/76531875$ |
$0.89481$ |
$4.11048$ |
$[1, -1, 1, -2678, -51438]$ |
\(y^2+xy+y=x^3-x^2-2678x-51438\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 68.12.0-4.c.1.1, 204.24.0.?, $\ldots$ |
$[(-28, 45)]$ |
| 5355.d2 |
5355h2 |
5355.d |
5355h |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$0.811711857$ |
$1$ |
|
$12$ |
$2048$ |
$0.496892$ |
$8502154921/3186225$ |
$0.85593$ |
$3.43070$ |
$[1, -1, 1, -383, 1806]$ |
\(y^2+xy+y=x^3-x^2-383x+1806\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0-2.a.1.1, 140.12.0.?, 204.24.0.?, $\ldots$ |
$[(0, 42)]$ |
| 5355.d3 |
5355h1 |
5355.d |
5355h |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.623423714$ |
$1$ |
|
$5$ |
$1024$ |
$0.150319$ |
$5841725401/1785$ |
$0.83537$ |
$3.38699$ |
$[1, -1, 1, -338, 2472]$ |
\(y^2+xy+y=x^3-x^2-338x+2472\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, 280.12.0.?, $\ldots$ |
$[(12, 0)]$ |
| 5355.d4 |
5355h4 |
5355.d |
5355h |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{10} \cdot 5 \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.623423714$ |
$1$ |
|
$4$ |
$4096$ |
$0.843466$ |
$257138126279/236782035$ |
$0.89688$ |
$3.82779$ |
$[1, -1, 1, 1192, 11886]$ |
\(y^2+xy+y=x^3-x^2+1192x+11886\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 136.12.0.?, $\ldots$ |
$[(11, 156)]$ |
| 5355.e1 |
5355j2 |
5355.e |
5355j |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{13} \cdot 5^{3} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$3.007507$ |
$216486375407331255135001/27004994294227023375$ |
$1.01697$ |
$7.02597$ |
$[1, -1, 1, -11258438, 12880762742]$ |
\(y^2+xy+y=x^3-x^2-11258438x+12880762742\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
| 5355.e2 |
5355j1 |
5355.e |
5355j |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{20} \cdot 5^{6} \cdot 7 \cdot 17^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$2.660934$ |
$172343644217341694999/742780064187984375$ |
$1.01380$ |
$6.41192$ |
$[1, -1, 1, 1043437, 1041438242]$ |
\(y^2+xy+y=x^3-x^2+1043437x+1041438242\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
| 5355.f1 |
5355b2 |
5355.f |
5355b |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$0.856089618$ |
$1$ |
|
$6$ |
$768$ |
$-0.004956$ |
$4973940243/50575$ |
$0.82990$ |
$2.98439$ |
$[1, -1, 1, -107, -394]$ |
\(y^2+xy+y=x^3-x^2-107x-394\) |
2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.? |
$[(-6, 4)]$ |
| 5355.f2 |
5355b1 |
5355.f |
5355b |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{3} \cdot 5 \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1.712179237$ |
$1$ |
|
$5$ |
$384$ |
$-0.351530$ |
$-19683/4165$ |
$0.86608$ |
$2.22318$ |
$[1, -1, 1, -2, -16]$ |
\(y^2+xy+y=x^3-x^2-2x-16\) |
2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.? |
$[(4, 3)]$ |
| 5355.g1 |
5355m4 |
5355.g |
5355m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{18} \cdot 5 \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$1.599514$ |
$1214661886599131209/2213451765$ |
$0.97108$ |
$5.61774$ |
$[1, -1, 1, -200057, 34491116]$ |
\(y^2+xy+y=x^3-x^2-200057x+34491116\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 5355.g2 |
5355m3 |
5355.g |
5355m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$1.599514$ |
$5595100866606889/1653777286875$ |
$0.95322$ |
$4.99108$ |
$[1, -1, 1, -33287, -1626676]$ |
\(y^2+xy+y=x^3-x^2-33287x-1626676\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 204.24.0.?, 680.24.0.?, $\ldots$ |
$[]$ |
| 5355.g3 |
5355m2 |
5355.g |
5355m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12288$ |
$1.252941$ |
$305759741604409/12646127025$ |
$0.92809$ |
$4.65251$ |
$[1, -1, 1, -12632, 529706]$ |
\(y^2+xy+y=x^3-x^2-12632x+529706\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 204.24.0.?, 340.24.0.?, $\ldots$ |
$[]$ |
| 5355.g4 |
5355m1 |
5355.g |
5355m |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{9} \cdot 5 \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.906367$ |
$7892485271/552491415$ |
$0.93302$ |
$3.97961$ |
$[1, -1, 1, 373, 30314]$ |
\(y^2+xy+y=x^3-x^2+373x+30314\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 408.24.0.?, $\ldots$ |
$[]$ |
| 5355.h1 |
5355k2 |
5355.h |
5355k |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5 \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$0.860328584$ |
$1$ |
|
$6$ |
$9216$ |
$1.120255$ |
$23711636464489/4590075735$ |
$0.91546$ |
$4.35472$ |
$[1, -1, 1, -5387, 125484]$ |
\(y^2+xy+y=x^3-x^2-5387x+125484\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[(14, 222)]$ |
| 5355.h2 |
5355k1 |
5355.h |
5355k |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5^{2} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1.720657169$ |
$1$ |
|
$5$ |
$4608$ |
$0.773682$ |
$49471280711/106269975$ |
$0.88824$ |
$3.75201$ |
$[1, -1, 1, 688, 11274]$ |
\(y^2+xy+y=x^3-x^2+688x+11274\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[(2, 111)]$ |
| 5355.i1 |
5355r3 |
5355.i |
5355r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$0.880157470$ |
$1$ |
|
$4$ |
$24576$ |
$1.694452$ |
$281486573281608409/610107421875$ |
$0.96443$ |
$5.44744$ |
$[1, -1, 1, -122882, -16517986]$ |
\(y^2+xy+y=x^3-x^2-122882x-16517986\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 204.24.0.?, 680.24.0.?, $\ldots$ |
$[(-203, 276)]$ |
| 5355.i2 |
5355r4 |
5355.i |
5355r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{10} \cdot 5^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2040$ |
$48$ |
$0$ |
$0.220039367$ |
$1$ |
|
$14$ |
$24576$ |
$1.694452$ |
$180945977944161529/992266372125$ |
$0.96239$ |
$5.39597$ |
$[1, -1, 1, -106052, 13256426]$ |
\(y^2+xy+y=x^3-x^2-106052x+13256426\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(246, 1294)]$ |
| 5355.i3 |
5355r2 |
5355.i |
5355r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$0.440078735$ |
$1$ |
|
$16$ |
$12288$ |
$1.347878$ |
$171963096231529/97578140625$ |
$0.97769$ |
$4.58548$ |
$[1, -1, 1, -10427, -54574]$ |
\(y^2+xy+y=x^3-x^2-10427x-54574\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 204.24.0.?, 340.24.0.?, $\ldots$ |
$[(-84, 514)]$ |
| 5355.i4 |
5355r1 |
5355.i |
5355r |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$0.880157470$ |
$1$ |
|
$13$ |
$6144$ |
$1.001305$ |
$2600176603751/1534698375$ |
$0.95214$ |
$4.09727$ |
$[1, -1, 1, 2578, -7756]$ |
\(y^2+xy+y=x^3-x^2+2578x-7756\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 408.24.0.?, $\ldots$ |
$[(12, 151)]$ |
| 5355.j1 |
5355s4 |
5355.j |
5355s |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{18} \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$3.050211084$ |
$1$ |
|
$4$ |
$12288$ |
$1.221142$ |
$3585019225176649/316207395$ |
$0.94186$ |
$4.93923$ |
$[1, -1, 1, -28697, 1878126]$ |
\(y^2+xy+y=x^3-x^2-28697x+1878126\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(99, -39)]$ |
| 5355.j2 |
5355s3 |
5355.j |
5355s |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{4} \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$0.762552771$ |
$1$ |
|
$8$ |
$12288$ |
$1.221142$ |
$171963096231529/9865918125$ |
$0.92481$ |
$4.58548$ |
$[1, -1, 1, -10427, -386346]$ |
\(y^2+xy+y=x^3-x^2-10427x-386346\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 2040.24.0.?, $\ldots$ |
$[(-48, 66)]$ |
| 5355.j3 |
5355s2 |
5355.j |
5355s |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1.525105542$ |
$1$ |
|
$12$ |
$6144$ |
$0.874569$ |
$1076575468249/258084225$ |
$0.89370$ |
$3.99456$ |
$[1, -1, 1, -1922, 25296]$ |
\(y^2+xy+y=x^3-x^2-1922x+25296\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 1020.24.0.?, 2380.24.0.?, $\ldots$ |
$[(36, 24)]$ |
| 5355.j4 |
5355s1 |
5355.j |
5355s |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{9} \cdot 5 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$3.050211084$ |
$1$ |
|
$7$ |
$3072$ |
$0.527995$ |
$3449795831/5510295$ |
$0.85849$ |
$3.39149$ |
$[1, -1, 1, 283, 2364]$ |
\(y^2+xy+y=x^3-x^2+283x+2364\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 510.6.0.?, 1020.24.0.?, $\ldots$ |
$[(-6, 23)]$ |
| 5355.k1 |
5355c1 |
5355.k |
5355c |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{5} \cdot 7 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.501637$ |
$-4878401536/3346875$ |
$0.87578$ |
$3.45706$ |
$[0, 0, 1, -318, -3227]$ |
\(y^2+y=x^3-318x-3227\) |
1190.2.0.? |
$[]$ |
| 5355.l1 |
5355n1 |
5355.l |
5355n |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{16} \cdot 5^{7} \cdot 7^{3} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$336000$ |
$3.072178$ |
$-11926249134908509075308544/2246680441062421875$ |
$1.05575$ |
$7.49294$ |
$[0, 0, 1, -42838662, -107937569660]$ |
\(y^2+y=x^3-42838662x-107937569660\) |
1190.2.0.? |
$[]$ |
| 5355.m1 |
5355o2 |
5355.m |
5355o |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12672$ |
$1.361206$ |
$-209906535145406464/6559875$ |
$1.03595$ |
$5.41326$ |
$[0, 0, 1, -111432, 14317362]$ |
\(y^2+y=x^3-111432x+14317362\) |
3.8.0-3.a.1.2, 1190.2.0.?, 3570.16.0.? |
$[]$ |
| 5355.m2 |
5355o1 |
5355.m |
5355o |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$0.811900$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.91177$ |
$[0, 0, 1, -1272, 22725]$ |
\(y^2+y=x^3-1272x+22725\) |
3.8.0-3.a.1.1, 1190.2.0.?, 3570.16.0.? |
$[]$ |
| 5355.n1 |
5355d5 |
5355.n |
5355d |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5 \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32768$ |
$1.670557$ |
$1375634265228629281/24990412335$ |
$1.04808$ |
$5.63223$ |
$[1, -1, 0, -208530, 36703881]$ |
\(y^2+xy=x^3-x^2-208530x+36703881\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 5355.n2 |
5355d3 |
5355.n |
5355d |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$16384$ |
$1.323982$ |
$20751759537944401/418359375$ |
$0.95142$ |
$5.14374$ |
$[1, -1, 0, -51525, -4488750]$ |
\(y^2+xy=x^3-x^2-51525x-4488750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$ |
$[]$ |
| 5355.n3 |
5355d4 |
5355.n |
5355d |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16384$ |
$1.323982$ |
$369543396484081/45120132225$ |
$1.10652$ |
$4.67458$ |
$[1, -1, 0, -13455, 536976]$ |
\(y^2+xy=x^3-x^2-13455x+536976\) |
2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 20.24.0-4.b.1.2, 56.24.0-4.b.1.2, $\ldots$ |
$[]$ |
| 5355.n4 |
5355d2 |
5355.n |
5355d |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$8192$ |
$0.977409$ |
$5602762882081/716900625$ |
$0.98003$ |
$4.18668$ |
$[1, -1, 0, -3330, -64449]$ |
\(y^2+xy=x^3-x^2-3330x-64449\) |
2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0-4.b.1.5, 56.24.0-4.b.1.3, $\ldots$ |
$[]$ |
| 5355.n5 |
5355d1 |
5355.n |
5355d |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{14} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.630836$ |
$4733169839/19518975$ |
$0.87668$ |
$3.57359$ |
$[1, -1, 0, 315, -5400]$ |
\(y^2+xy=x^3-x^2+315x-5400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$ |
$[]$ |
| 5355.n6 |
5355d6 |
5355.n |
5355d |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{7} \cdot 5 \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32768$ |
$1.670557$ |
$1145725929069119/5127181719135$ |
$0.96557$ |
$5.02848$ |
$[1, -1, 0, 19620, 2739771]$ |
\(y^2+xy=x^3-x^2+19620x+2739771\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 5355.o1 |
5355a2 |
5355.o |
5355a |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1.330435194$ |
$1$ |
|
$4$ |
$2304$ |
$0.544350$ |
$4973940243/50575$ |
$0.82990$ |
$3.75213$ |
$[1, -1, 0, -960, 11591]$ |
\(y^2+xy=x^3-x^2-960x+11591\) |
2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.? |
$[(10, 49)]$ |
| 5355.o2 |
5355a1 |
5355.o |
5355a |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{9} \cdot 5 \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$2.660870389$ |
$1$ |
|
$3$ |
$1152$ |
$0.197776$ |
$-19683/4165$ |
$0.86608$ |
$2.99092$ |
$[1, -1, 0, -15, 440]$ |
\(y^2+xy=x^3-x^2-15x+440\) |
2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.? |
$[(8, 24)]$ |
| 5355.p1 |
5355g3 |
5355.p |
5355g |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5 \cdot 7^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.094439228$ |
$1$ |
|
$4$ |
$12288$ |
$1.262955$ |
$115650783909361/27072079335$ |
$0.92769$ |
$4.53928$ |
$[1, -1, 0, -9135, -257054]$ |
\(y^2+xy=x^3-x^2-9135x-257054\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ |
$[(-70, 224)]$ |
| 5355.p2 |
5355g2 |
5355.p |
5355g |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$2.188878457$ |
$1$ |
|
$6$ |
$6144$ |
$0.916381$ |
$4347507044161/258084225$ |
$0.89881$ |
$4.15714$ |
$[1, -1, 0, -3060, 62491]$ |
\(y^2+xy=x^3-x^2-3060x+62491\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 476.12.0.?, $\ldots$ |
$[(-42, 361)]$ |
| 5355.p3 |
5355g1 |
5355.p |
5355g |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$4.377756914$ |
$1$ |
|
$3$ |
$3072$ |
$0.569807$ |
$4158523459441/16065$ |
$0.89697$ |
$4.15196$ |
$[1, -1, 0, -3015, 64480]$ |
\(y^2+xy=x^3-x^2-3015x+64480\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(96, 760)]$ |
| 5355.p4 |
5355g4 |
5355.p |
5355g |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{18} \cdot 5^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$4.377756914$ |
$1$ |
|
$0$ |
$12288$ |
$1.262955$ |
$1833318007919/39525924375$ |
$0.95071$ |
$4.47477$ |
$[1, -1, 0, 2295, 254200]$ |
\(y^2+xy=x^3-x^2+2295x+254200\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(-105/2, 3455/2)]$ |
| 5355.q1 |
5355f5 |
5355.q |
5355f |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{4} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$3.240881100$ |
$1$ |
|
$2$ |
$65536$ |
$2.110516$ |
$40832710302042509761/91556816413125$ |
$1.06564$ |
$6.02713$ |
$[1, -1, 0, -645660, 199463175]$ |
\(y^2+xy=x^3-x^2-645660x+199463175\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 24.48.0-8.bb.2.6, $\ldots$ |
$[(210, 8445)]$ |
| 5355.q2 |
5355f3 |
5355.q |
5355f |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$6.481762201$ |
$1$ |
|
$2$ |
$32768$ |
$1.763941$ |
$25288177725059761/14387797265625$ |
$1.10504$ |
$5.16677$ |
$[1, -1, 0, -55035, 658800]$ |
\(y^2+xy=x^3-x^2-55035x+658800\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.1, 24.48.0-8.e.1.1, $\ldots$ |
$[(3741/4, 39201/4)]$ |
| 5355.q3 |
5355f2 |
5355.q |
5355f |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$3.240881100$ |
$1$ |
|
$6$ |
$16384$ |
$1.417368$ |
$6610905152742241/35128130625$ |
$0.94538$ |
$5.01051$ |
$[1, -1, 0, -35190, -2520369]$ |
\(y^2+xy=x^3-x^2-35190x-2520369\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.3, 24.48.0-8.e.2.3, $\ldots$ |
$[(222, 645)]$ |
| 5355.q4 |
5355f1 |
5355.q |
5355f |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$6.481762201$ |
$1$ |
|
$3$ |
$8192$ |
$1.070793$ |
$6585576176607121/187425$ |
$0.94525$ |
$5.01006$ |
$[1, -1, 0, -35145, -2527200]$ |
\(y^2+xy=x^3-x^2-35145x-2527200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.1, $\ldots$ |
$[(5076, 358830)]$ |
| 5355.q5 |
5355f4 |
5355.q |
5355f |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{14} \cdot 5^{2} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$1.620440550$ |
$1$ |
|
$4$ |
$32768$ |
$1.763941$ |
$-629004249876241/16074715228425$ |
$0.98451$ |
$5.18031$ |
$[1, -1, 0, -16065, -5262894]$ |
\(y^2+xy=x^3-x^2-16065x-5262894\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 24.48.0-8.bb.1.2, $\ldots$ |
$[(462, 9030)]$ |
| 5355.q6 |
5355f6 |
5355.q |
5355f |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{7} \cdot 5^{16} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$5712$ |
$192$ |
$1$ |
$12.96352440$ |
$1$ |
|
$0$ |
$65536$ |
$2.110516$ |
$1573196002879828319/926055908203125$ |
$1.02075$ |
$5.64786$ |
$[1, -1, 0, 218070, 5083101]$ |
\(y^2+xy=x^3-x^2+218070x+5083101\) |
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.e.2, $\ldots$ |
$[(-33627/52, 217298229/52)]$ |
| 5355.r1 |
5355q3 |
5355.r |
5355q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5 \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$5.702089431$ |
$1$ |
|
$0$ |
$8192$ |
$1.044456$ |
$530044731605089/26309115$ |
$0.93057$ |
$4.71659$ |
$[1, -1, 0, -15174, -715635]$ |
\(y^2+xy=x^3-x^2-15174x-715635\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[(615/2, 5415/2)]$ |
| 5355.r2 |
5355q4 |
5355.r |
5355q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{14} \cdot 5 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.425522357$ |
$1$ |
|
$4$ |
$8192$ |
$1.044456$ |
$17032120495489/1339001685$ |
$0.90955$ |
$4.31618$ |
$[1, -1, 0, -4824, 121095]$ |
\(y^2+xy=x^3-x^2-4824x+121095\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 168.12.0.?, 170.6.0.?, $\ldots$ |
$[(54, 99)]$ |
