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 |
12495.a1 |
12495b5 |
12495.a |
12495b |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3 \cdot 5^{4} \cdot 7^{7} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$393216$ |
$2.534164$ |
$40832710302042509761/91556816413125$ |
$1.06564$ |
$6.02470$ |
$[1, 1, 1, -3515261, 2530405814]$ |
\(y^2+xy+y=x^3+x^2-3515261x+2530405814\) |
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.2.3, $\ldots$ |
$[]$ |
12495.a2 |
12495b3 |
12495.a |
12495b |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$196608$ |
$2.187592$ |
$25288177725059761/14387797265625$ |
$1.10504$ |
$5.24161$ |
$[1, 1, 1, -299636, 8069564]$ |
\(y^2+xy+y=x^3+x^2-299636x+8069564\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 24.48.0-8.e.1.8, $\ldots$ |
$[]$ |
12495.a3 |
12495b2 |
12495.a |
12495b |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$98304$ |
$1.841017$ |
$6610905152742241/35128130625$ |
$0.94538$ |
$5.09939$ |
$[1, 1, 1, -191591, -32209612]$ |
\(y^2+xy+y=x^3+x^2-191591x-32209612\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.8, 28.24.0-4.b.1.3, $\ldots$ |
$[]$ |
12495.a4 |
12495b1 |
12495.a |
12495b |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.494442$ |
$6585576176607121/187425$ |
$0.94525$ |
$5.09898$ |
$[1, 1, 1, -191346, -32296146]$ |
\(y^2+xy+y=x^3+x^2-191346x-32296146\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
12495.a5 |
12495b4 |
12495.a |
12495b |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$2.187592$ |
$-629004249876241/16074715228425$ |
$0.98451$ |
$5.25394$ |
$[1, 1, 1, -87466, -66945712]$ |
\(y^2+xy+y=x^3+x^2-87466x-66945712\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0-4.c.1.2, 48.48.0-8.bb.1.8, $\ldots$ |
$[]$ |
12495.a6 |
12495b6 |
12495.a |
12495b |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3 \cdot 5^{16} \cdot 7^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$393216$ |
$2.534164$ |
$1573196002879828319/926055908203125$ |
$1.02075$ |
$5.67949$ |
$[1, 1, 1, 1187269, 65761478]$ |
\(y^2+xy+y=x^3+x^2+1187269x+65761478\) |
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.2, $\ldots$ |
$[]$ |
12495.b1 |
12495a5 |
12495.b |
12495a |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3 \cdot 5 \cdot 7^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$2.094204$ |
$1375634265228629281/24990412335$ |
$1.04808$ |
$5.66526$ |
$[1, 1, 1, -1135331, 465139898]$ |
\(y^2+xy+y=x^3+x^2-1135331x+465139898\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0-8.n.1.3, $\ldots$ |
$[]$ |
12495.b2 |
12495a3 |
12495.b |
12495a |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.747631$ |
$20751759537944401/418359375$ |
$0.95142$ |
$5.22065$ |
$[1, 1, 1, -280526, -57304276]$ |
\(y^2+xy+y=x^3+x^2-280526x-57304276\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.8, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
12495.b3 |
12495a4 |
12495.b |
12495a |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$98304$ |
$1.747631$ |
$369543396484081/45120132225$ |
$1.10652$ |
$4.79363$ |
$[1, 1, 1, -73256, 6748328]$ |
\(y^2+xy+y=x^3+x^2-73256x+6748328\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.2, 28.24.0-4.b.1.1, 40.24.0-4.b.1.2, $\ldots$ |
$[]$ |
12495.b4 |
12495a2 |
12495.b |
12495a |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.401058$ |
$5602762882081/716900625$ |
$0.98003$ |
$4.34956$ |
$[1, 1, 1, -18131, -836872]$ |
\(y^2+xy+y=x^3+x^2-18131x-836872\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 28.24.0-4.b.1.3, 40.24.0-4.b.1.3, $\ldots$ |
$[]$ |
12495.b5 |
12495a1 |
12495.b |
12495a |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.054485$ |
$4733169839/19518975$ |
$0.87668$ |
$3.79154$ |
$[1, 1, 1, 1714, -66886]$ |
\(y^2+xy+y=x^3+x^2+1714x-66886\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 40.24.0-8.n.1.8, $\ldots$ |
$[]$ |
12495.b6 |
12495a6 |
12495.b |
12495a |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3 \cdot 5 \cdot 7^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$196608$ |
$2.094204$ |
$1145725929069119/5127181719135$ |
$0.96557$ |
$5.11575$ |
$[1, 1, 1, 106819, 34912058]$ |
\(y^2+xy+y=x^3+x^2+106819x+34912058\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.7, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
12495.c1 |
12495h3 |
12495.c |
12495h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5 \cdot 7^{7} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$1.468105$ |
$530044731605089/26309115$ |
$0.93057$ |
$4.83187$ |
$[1, 1, 1, -82615, -9173830]$ |
\(y^2+xy+y=x^3+x^2-82615x-9173830\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 140.24.0.?, 680.24.0.?, 952.24.0.?, $\ldots$ |
$[]$ |
12495.c2 |
12495h4 |
12495.c |
12495h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{8} \cdot 5 \cdot 7^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$1.468105$ |
$17032120495489/1339001685$ |
$0.90955$ |
$4.46742$ |
$[1, 1, 1, -26265, 1512090]$ |
\(y^2+xy+y=x^3+x^2-26265x+1512090\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 170.6.0.?, $\ldots$ |
$[]$ |
12495.c3 |
12495h2 |
12495.c |
12495h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$24576$ |
$1.121532$ |
$151334226289/28676025$ |
$1.02382$ |
$3.96670$ |
$[1, 1, 1, -5440, -128920]$ |
\(y^2+xy+y=x^3+x^2-5440x-128920\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 340.24.0.?, 476.24.0.?, $\ldots$ |
$[]$ |
12495.c4 |
12495h1 |
12495.c |
12495h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{2} \cdot 5^{4} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$0.774958$ |
$302111711/669375$ |
$0.83568$ |
$3.41792$ |
$[1, 1, 1, 685, -11320]$ |
\(y^2+xy+y=x^3+x^2+685x-11320\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 238.6.0.?, 280.24.0.?, 476.24.0.?, $\ldots$ |
$[]$ |
12495.d1 |
12495k3 |
12495.d |
12495k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 7^{10} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.679412546$ |
$1$ |
|
$4$ |
$73728$ |
$1.686604$ |
$115650783909361/27072079335$ |
$0.92769$ |
$4.67048$ |
$[1, 0, 0, -49736, -3298695]$ |
\(y^2+xy=x^3-49736x-3298695\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 60.12.0.h.1, 136.12.0.?, $\ldots$ |
$[(-104, 919)]$ |
12495.d2 |
12495k2 |
12495.d |
12495k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$0.839706273$ |
$1$ |
|
$12$ |
$36864$ |
$1.340029$ |
$4347507044161/258084225$ |
$0.89881$ |
$4.32267$ |
$[1, 0, 0, -16661, 782760]$ |
\(y^2+xy=x^3-16661x+782760\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 420.24.0.?, $\ldots$ |
$[(43, 361)]$ |
12495.d3 |
12495k1 |
12495.d |
12495k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.679412546$ |
$1$ |
|
$5$ |
$18432$ |
$0.993456$ |
$4158523459441/16065$ |
$0.89697$ |
$4.31796$ |
$[1, 0, 0, -16416, 808191]$ |
\(y^2+xy=x^3-16416x+808191\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 68.12.0-4.c.1.2, 120.12.0.?, $\ldots$ |
$[(75, -21)]$ |
12495.d4 |
12495k4 |
12495.d |
12495k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{12} \cdot 5^{4} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$0.419853136$ |
$1$ |
|
$10$ |
$73728$ |
$1.686604$ |
$1833318007919/39525924375$ |
$0.95071$ |
$4.61177$ |
$[1, 0, 0, 12494, 3237611]$ |
\(y^2+xy=x^3+12494x+3237611\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 68.12.0-4.c.1.1, 120.12.0.?, $\ldots$ |
$[(11, 1832)]$ |
12495.e1 |
12495q4 |
12495.e |
12495q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$1.314677625$ |
$1$ |
|
$4$ |
$147456$ |
$2.119335$ |
$25351269426118370449/27551475$ |
$0.98384$ |
$5.97417$ |
$[1, 0, 0, -2998850, 1998600225]$ |
\(y^2+xy=x^3-2998850x+1998600225\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(1000, -485)]$ |
12495.e2 |
12495q3 |
12495.e |
12495q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$0.328669406$ |
$1$ |
|
$10$ |
$147456$ |
$2.119335$ |
$12010404962647729/6166198828125$ |
$0.97579$ |
$5.16268$ |
$[1, 0, 0, -233780, 14595027]$ |
\(y^2+xy=x^3-233780x+14595027\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 408.24.0.?, $\ldots$ |
$[(19, 3178)]$ |
12495.e3 |
12495q2 |
12495.e |
12495q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$0.657338812$ |
$1$ |
|
$12$ |
$73728$ |
$1.772762$ |
$6193921595708449/6452105625$ |
$0.94493$ |
$5.09248$ |
$[1, 0, 0, -187475, 31200000]$ |
\(y^2+xy=x^3-187475x+31200000\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 204.24.0.?, 476.24.0.?, $\ldots$ |
$[(265, 250)]$ |
12495.e4 |
12495q1 |
12495.e |
12495q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{12} \cdot 5^{2} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$1.314677625$ |
$1$ |
|
$11$ |
$36864$ |
$1.426188$ |
$-656008386769/1581036975$ |
$0.91083$ |
$4.29623$ |
$[1, 0, 0, -8870, 729987]$ |
\(y^2+xy=x^3-8870x+729987\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 238.6.0.?, 408.24.0.?, $\ldots$ |
$[(-41, 1033)]$ |
12495.f1 |
12495d2 |
12495.f |
12495d |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$0.370912412$ |
$1$ |
|
$6$ |
$76032$ |
$1.784855$ |
$-209906535145406464/6559875$ |
$1.03595$ |
$5.46596$ |
$[0, -1, 1, -606685, 182085756]$ |
\(y^2+y=x^3-x^2-606685x+182085756\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 510.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(460, 367)]$ |
12495.f2 |
12495d1 |
12495.f |
12495d |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1.112737238$ |
$1$ |
|
$4$ |
$25344$ |
$1.235548$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.09934$ |
$[0, -1, 1, -6925, 291003]$ |
\(y^2+y=x^3-x^2-6925x+291003\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 510.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(-23, 661)]$ |
12495.g1 |
12495i1 |
12495.g |
12495i |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{2} \cdot 5^{5} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1.371222597$ |
$1$ |
|
$4$ |
$11520$ |
$0.925286$ |
$-4878401536/3346875$ |
$0.87578$ |
$3.68547$ |
$[0, 1, 1, -1731, -41569]$ |
\(y^2+y=x^3+x^2-1731x-41569\) |
1190.2.0.? |
$[(51, 73)]$ |
12495.h1 |
12495n1 |
12495.h |
12495n |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{9} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2016000$ |
$3.495827$ |
$-11926249134908509075308544/2246680441062421875$ |
$1.05575$ |
$7.35884$ |
$[0, 1, 1, -233232715, -1371284647694]$ |
\(y^2+y=x^3+x^2-233232715x-1371284647694\) |
1190.2.0.? |
$[]$ |
12495.i1 |
12495c2 |
12495.i |
12495c |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$4.957486404$ |
$1$ |
|
$0$ |
$1935360$ |
$3.431156$ |
$216486375407331255135001/27004994294227023375$ |
$1.01697$ |
$6.93382$ |
$[1, 1, 0, -61295938, 163572097417]$ |
\(y^2+xy=x^3+x^2-61295938x+163572097417\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[(239403/2, 115937441/2)]$ |
12495.i2 |
12495c1 |
12495.i |
12495c |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{14} \cdot 5^{6} \cdot 7^{7} \cdot 17^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$2.478743202$ |
$1$ |
|
$3$ |
$967680$ |
$3.084583$ |
$172343644217341694999/742780064187984375$ |
$1.01380$ |
$6.37492$ |
$[1, 1, 0, 5680937, 13235803792]$ |
\(y^2+xy=x^3+x^2+5680937x+13235803792\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[(59632, 14544352)]$ |
12495.j1 |
12495g4 |
12495.j |
12495g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{12} \cdot 5 \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.023163$ |
$1214661886599131209/2213451765$ |
$0.97108$ |
$5.65207$ |
$[1, 1, 0, -1089197, 437075724]$ |
\(y^2+xy=x^3+x^2-1089197x+437075724\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
12495.j2 |
12495g3 |
12495.j |
12495g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5^{4} \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.023163$ |
$5595100866606889/1653777286875$ |
$0.95322$ |
$5.08170$ |
$[1, 1, 0, -181227, -20846034]$ |
\(y^2+xy=x^3+x^2-181227x-20846034\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
12495.j3 |
12495g2 |
12495.j |
12495g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$73728$ |
$1.676590$ |
$305759741604409/12646127025$ |
$0.92809$ |
$4.77355$ |
$[1, 1, 0, -68772, 6660459]$ |
\(y^2+xy=x^3+x^2-68772x+6660459\) |
2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
12495.j4 |
12495g1 |
12495.j |
12495g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{3} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.330017$ |
$7892485271/552491415$ |
$0.93302$ |
$4.16108$ |
$[1, 1, 0, 2033, 387136]$ |
\(y^2+xy=x^3+x^2+2033x+387136\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$ |
$[]$ |
12495.k1 |
12495f3 |
12495.k |
12495f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3 \cdot 5^{12} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.118099$ |
$281486573281608409/610107421875$ |
$0.96443$ |
$5.49707$ |
$[1, 1, 0, -669022, -210508619]$ |
\(y^2+xy=x^3+x^2-669022x-210508619\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
12495.k2 |
12495f4 |
12495.k |
12495f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{4} \cdot 5^{3} \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.118099$ |
$180945977944161529/992266372125$ |
$0.96239$ |
$5.45023$ |
$[1, 1, 0, -577392, 167828319]$ |
\(y^2+xy=x^3+x^2-577392x+167828319\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
12495.k3 |
12495f2 |
12495.k |
12495f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$73728$ |
$1.771526$ |
$171963096231529/97578140625$ |
$0.97769$ |
$4.71254$ |
$[1, 1, 0, -56767, -750056]$ |
\(y^2+xy=x^3+x^2-56767x-750056\) |
2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
12495.k4 |
12495f1 |
12495.k |
12495f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3 \cdot 5^{3} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.424953$ |
$2600176603751/1534698375$ |
$0.95214$ |
$4.26818$ |
$[1, 1, 0, 14038, -84489]$ |
\(y^2+xy=x^3+x^2+14038x-84489\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$ |
$[]$ |
12495.l1 |
12495l2 |
12495.l |
12495l |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3 \cdot 5 \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$0.850524$ |
$51520374361/212415$ |
$1.00183$ |
$3.85247$ |
$[1, 0, 1, -3799, 89471]$ |
\(y^2+xy+y=x^3-3799x+89471\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
12495.l2 |
12495l1 |
12495.l |
12495l |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.503950$ |
$-1771561/26775$ |
$0.91070$ |
$3.11277$ |
$[1, 0, 1, -124, 2741]$ |
\(y^2+xy+y=x^3-124x+2741\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
12495.m1 |
12495j3 |
12495.m |
12495j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3 \cdot 5^{4} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$7.465169004$ |
$1$ |
|
$0$ |
$24576$ |
$1.267115$ |
$2912566550041/76531875$ |
$0.89481$ |
$4.28020$ |
$[1, 0, 1, -14579, -663169]$ |
\(y^2+xy+y=x^3-14579x-663169\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 204.12.0.?, $\ldots$ |
$[(-10643/12, 251869/12)]$ |
12495.m2 |
12495j2 |
12495.m |
12495j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$3.732584502$ |
$1$ |
|
$2$ |
$12288$ |
$0.920542$ |
$8502154921/3186225$ |
$0.85593$ |
$3.66148$ |
$[1, 0, 1, -2084, 21557]$ |
\(y^2+xy+y=x^3-2084x+21557\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 140.24.0.?, 204.12.0.?, $\ldots$ |
$[(79/3, 1568/3)]$ |
12495.m3 |
12495j1 |
12495.m |
12495j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3 \cdot 5 \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$7.465169004$ |
$1$ |
|
$1$ |
$6144$ |
$0.573968$ |
$5841725401/1785$ |
$0.83537$ |
$3.62170$ |
$[1, 0, 1, -1839, 30181]$ |
\(y^2+xy+y=x^3-1839x+30181\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[(12625/8, 1337659/8)]$ |
12495.m4 |
12495j4 |
12495.m |
12495j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{4} \cdot 5 \cdot 7^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1.866292251$ |
$1$ |
|
$2$ |
$24576$ |
$1.267115$ |
$257138126279/236782035$ |
$0.89688$ |
$4.02290$ |
$[1, 0, 1, 6491, 155327]$ |
\(y^2+xy+y=x^3+6491x+155327\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(109, 1415)]$ |
12495.n1 |
12495p4 |
12495.n |
12495p |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{12} \cdot 5 \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$3.650558912$ |
$1$ |
|
$4$ |
$73728$ |
$1.644791$ |
$3585019225176649/316207395$ |
$0.94186$ |
$5.03451$ |
$[1, 0, 1, -156238, 23755001]$ |
\(y^2+xy+y=x^3-156238x+23755001\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 2040.24.0.?, 2380.24.0.?, $\ldots$ |
$[(10861, 1125734)]$ |
12495.n2 |
12495p3 |
12495.n |
12495p |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5^{4} \cdot 7^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$0.912639728$ |
$1$ |
|
$4$ |
$73728$ |
$1.644791$ |
$171963096231529/9865918125$ |
$0.92481$ |
$4.71254$ |
$[1, 0, 1, -56768, -4945867]$ |
\(y^2+xy+y=x^3-56768x-4945867\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 2040.24.0.?, $\ldots$ |
$[(-141, 580)]$ |
12495.n3 |
12495p2 |
12495.n |
12495p |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1.825279456$ |
$1$ |
|
$6$ |
$36864$ |
$1.298218$ |
$1076575468249/258084225$ |
$0.89370$ |
$4.17470$ |
$[1, 0, 1, -10463, 314381]$ |
\(y^2+xy+y=x^3-10463x+314381\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 1020.24.0.?, 2380.24.0.?, $\ldots$ |
$[(-3, 589)]$ |
12495.n4 |
12495p1 |
12495.n |
12495p |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{3} \cdot 5 \cdot 7^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$3.650558912$ |
$1$ |
|
$3$ |
$18432$ |
$0.951644$ |
$3449795831/5510295$ |
$0.85849$ |
$3.62579$ |
$[1, 0, 1, 1542, 31063]$ |
\(y^2+xy+y=x^3+1542x+31063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(47, 432)]$ |
12495.o1 |
12495o2 |
12495.o |
12495o |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.543903$ |
$23711636464489/4590075735$ |
$0.91546$ |
$4.50250$ |
$[1, 0, 1, -29328, 1574563]$ |
\(y^2+xy+y=x^3-29328x+1574563\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
12495.o2 |
12495o1 |
12495.o |
12495o |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5^{2} \cdot 7^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.197330$ |
$49471280711/106269975$ |
$0.88824$ |
$3.95393$ |
$[1, 0, 1, 3747, 145723]$ |
\(y^2+xy+y=x^3+3747x+145723\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |