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 |
22050.a1 |
22050bx1 |
22050.a |
22050bx |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{11} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$4.292548416$ |
$1$ |
|
$5$ |
$3010560$ |
$3.082996$ |
$393349474783/153600000$ |
$1.02445$ |
$6.04530$ |
$[1, -1, 0, -11780442, -8872398284]$ |
\(y^2+xy=x^3-x^2-11780442x-8872398284\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(-1180, 58766)]$ |
22050.a2 |
22050bx2 |
22050.a |
22050bx |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{16} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$8.585096833$ |
$1$ |
|
$2$ |
$6021120$ |
$3.429569$ |
$12801408679457/11250000000$ |
$1.04802$ |
$6.39352$ |
$[1, -1, 0, 37611558, -63944478284]$ |
\(y^2+xy=x^3-x^2+37611558x-63944478284\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(24545, 3943241)]$ |
22050.b1 |
22050ce2 |
22050.b |
22050ce |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$11.54464081$ |
$1$ |
|
$2$ |
$7257600$ |
$3.566189$ |
$266916252066900625/162$ |
$1.11489$ |
$7.51521$ |
$[1, -1, 0, -1582368867, 24227957283291]$ |
\(y^2+xy=x^3-x^2-1582368867x+24227957283291\) |
3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8 |
$[(-10264341/31, 188363008023/31)]$ |
22050.b2 |
22050ce1 |
22050.b |
22050ce |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{18} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$3.848213605$ |
$1$ |
|
$2$ |
$2419200$ |
$3.016884$ |
$505318200625/4251528$ |
$1.07784$ |
$6.19763$ |
$[1, -1, 0, -19575117, 33097004541]$ |
\(y^2+xy=x^3-x^2-19575117x+33097004541\) |
3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4 |
$[(2193, 25584)]$ |
22050.c1 |
22050k4 |
22050.c |
22050k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{12} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$2.155193$ |
$57960603/31250$ |
$1.11205$ |
$4.90896$ |
$[1, -1, 0, -266667, 13921991]$ |
\(y^2+xy=x^3-x^2-266667x+13921991\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$ |
$[]$ |
22050.c2 |
22050k2 |
22050.c |
22050k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.605886$ |
$8527173507/200$ |
$1.05154$ |
$4.74894$ |
$[1, -1, 0, -156417, -23771259]$ |
\(y^2+xy=x^3-x^2-156417x-23771259\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$ |
$[]$ |
22050.c3 |
22050k1 |
22050.c |
22050k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.259312$ |
$-1860867/320$ |
$0.97305$ |
$3.93205$ |
$[1, -1, 0, -9417, -398259]$ |
\(y^2+xy=x^3-x^2-9417x-398259\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$ |
$[]$ |
22050.c4 |
22050k3 |
22050.c |
22050k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$1.808619$ |
$804357/500$ |
$1.08207$ |
$4.48126$ |
$[1, -1, 0, 64083, 1684241]$ |
\(y^2+xy=x^3-x^2+64083x+1684241\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$ |
$[]$ |
22050.d1 |
22050bv2 |
22050.d |
22050bv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{10} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$7.380328379$ |
$1$ |
|
$0$ |
$1244160$ |
$2.712299$ |
$-7620530425/526848$ |
$0.98174$ |
$5.72224$ |
$[1, -1, 0, -3864492, -3092833584]$ |
\(y^2+xy=x^3-x^2-3864492x-3092833584\) |
3.4.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, 840.16.0.? |
$[(39747/2, 7714797/2)]$ |
22050.d2 |
22050bv1 |
22050.d |
22050bv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{10} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$2.460109459$ |
$1$ |
|
$2$ |
$414720$ |
$2.162991$ |
$2595575/1512$ |
$1.04999$ |
$4.91256$ |
$[1, -1, 0, 269883, -4455459]$ |
\(y^2+xy=x^3-x^2+269883x-4455459\) |
3.4.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, 840.16.0.? |
$[(93, 4584)]$ |
22050.e1 |
22050s2 |
22050.e |
22050s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.729996052$ |
$1$ |
|
$8$ |
$36864$ |
$0.968391$ |
$139798359/98$ |
$1.01524$ |
$3.85512$ |
$[1, -1, 0, -7947, 274511]$ |
\(y^2+xy=x^3-x^2-7947x+274511\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(65, 139)]$ |
22050.e2 |
22050s1 |
22050.e |
22050s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.364998026$ |
$1$ |
|
$11$ |
$18432$ |
$0.621818$ |
$59319/28$ |
$0.97255$ |
$3.07870$ |
$[1, -1, 0, -597, 2561]$ |
\(y^2+xy=x^3-x^2-597x+2561\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(-5, 76)]$ |
22050.f1 |
22050cw2 |
22050.f |
22050cw |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1036800$ |
$2.593235$ |
$266916252066900625/162$ |
$1.11489$ |
$6.34779$ |
$[1, -1, 0, -32293242, -70626217334]$ |
\(y^2+xy=x^3-x^2-32293242x-70626217334\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.1, 24.8.0.b.1, 168.16.0.? |
$[]$ |
22050.f2 |
22050cw1 |
22050.f |
22050cw |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{18} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$2.043930$ |
$505318200625/4251528$ |
$1.07784$ |
$5.03021$ |
$[1, -1, 0, -399492, -96378584]$ |
\(y^2+xy=x^3-x^2-399492x-96378584\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.2, 24.8.0.b.1, 168.16.0.? |
$[]$ |
22050.g1 |
22050bw1 |
22050.g |
22050bw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{11} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.790057142$ |
$1$ |
|
$3$ |
$430080$ |
$2.110039$ |
$393349474783/153600000$ |
$1.02445$ |
$4.87788$ |
$[1, -1, 0, -240417, 25935741]$ |
\(y^2+xy=x^3-x^2-240417x+25935741\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(-291, 8583)]$ |
22050.g2 |
22050bw2 |
22050.g |
22050bw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{16} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$3.580114285$ |
$1$ |
|
$2$ |
$860160$ |
$2.456612$ |
$12801408679457/11250000000$ |
$1.04802$ |
$5.22610$ |
$[1, -1, 0, 767583, 186207741]$ |
\(y^2+xy=x^3-x^2+767583x+186207741\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(1899, 91188)]$ |
22050.h1 |
22050q1 |
22050.h |
22050q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.234581333$ |
$1$ |
|
$4$ |
$299520$ |
$1.915745$ |
$10733445/57344$ |
$1.13541$ |
$4.61388$ |
$[1, -1, 0, 49383, 12106541]$ |
\(y^2+xy=x^3-x^2+49383x+12106541\) |
168.2.0.? |
$[(-131, 1903)]$ |
22050.i1 |
22050z1 |
22050.i |
22050z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{12} \cdot 5^{9} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$2.349018$ |
$-77626969/182250$ |
$0.95834$ |
$5.15983$ |
$[1, -1, 0, -358542, -185734634]$ |
\(y^2+xy=x^3-x^2-358542x-185734634\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.? |
$[]$ |
22050.i2 |
22050z2 |
22050.i |
22050z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{15} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1741824$ |
$2.898323$ |
$50872947671/140625000$ |
$1.01195$ |
$5.77908$ |
$[1, -1, 0, 3114333, 4110211741]$ |
\(y^2+xy=x^3-x^2+3114333x+4110211741\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.? |
$[]$ |
22050.j1 |
22050cb2 |
22050.j |
22050cb |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.14.0.1 |
13B |
$10920$ |
$336$ |
$9$ |
$10.71459098$ |
$1$ |
|
$0$ |
$2096640$ |
$3.076012$ |
$-5745702166029/8192$ |
$1.08763$ |
$6.60163$ |
$[1, -1, 0, -75269742, -251331415084]$ |
\(y^2+xy=x^3-x^2-75269742x-251331415084\) |
13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.2, 91.42.0.?, 104.28.0.?, $\ldots$ |
$[(16002079/29, 55410014792/29)]$ |
22050.j2 |
22050cb1 |
22050.j |
22050cb |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.14.0.1 |
13B |
$10920$ |
$336$ |
$9$ |
$0.824199306$ |
$1$ |
|
$4$ |
$161280$ |
$1.793537$ |
$-189/2$ |
$0.91737$ |
$4.48402$ |
$[1, -1, 0, -24117, 6336791]$ |
\(y^2+xy=x^3-x^2-24117x+6336791\) |
13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.1, 91.42.0.?, 104.28.0.?, $\ldots$ |
$[(919, 27103)]$ |
22050.k1 |
22050bo2 |
22050.k |
22050bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$18.41987904$ |
$1$ |
|
$0$ |
$1088640$ |
$2.773899$ |
$-16591834777/98304$ |
$1.06741$ |
$5.92434$ |
$[1, -1, 0, -7844517, -8497850859]$ |
\(y^2+xy=x^3-x^2-7844517x-8497850859\) |
3.4.0.a.1, 24.8.0.d.1, 105.8.0.?, 840.16.0.? |
$[(272988195/274, 2124428690661/274)]$ |
22050.k2 |
22050bo1 |
22050.k |
22050bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$6.139959683$ |
$1$ |
|
$2$ |
$362880$ |
$2.224594$ |
$596183/864$ |
$1.03569$ |
$4.94087$ |
$[1, -1, 0, 258858, -62237484]$ |
\(y^2+xy=x^3-x^2+258858x-62237484\) |
3.4.0.a.1, 24.8.0.d.1, 105.8.0.?, 840.16.0.? |
$[(2895, 156489)]$ |
22050.l1 |
22050b2 |
22050.l |
22050b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$2520$ |
$144$ |
$2$ |
$22.70060879$ |
$1$ |
|
$0$ |
$326592$ |
$2.124760$ |
$-67645179/8$ |
$1.03261$ |
$5.31357$ |
$[1, -1, 0, -1027392, -400606984]$ |
\(y^2+xy=x^3-x^2-1027392x-400606984\) |
3.4.0.a.1, 9.12.0.b.1, 15.8.0-3.a.1.1, 24.8.0.d.1, 45.24.0-9.b.1.2, $\ldots$ |
$[(31945606075/3091, 5358813602276041/3091)]$ |
22050.l2 |
22050b1 |
22050.l |
22050b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$2520$ |
$144$ |
$2$ |
$7.566869598$ |
$1$ |
|
$2$ |
$108864$ |
$1.575453$ |
$189/512$ |
$1.32659$ |
$4.22081$ |
$[1, -1, 0, 1608, -1697984]$ |
\(y^2+xy=x^3-x^2+1608x-1697984\) |
3.4.0.a.1, 9.12.0.b.1, 15.8.0-3.a.1.2, 24.8.0.d.1, 45.24.0-9.b.1.1, $\ldots$ |
$[(3275, 185771)]$ |
22050.m1 |
22050cp2 |
22050.m |
22050cp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$518400$ |
$2.329113$ |
$-417267265/235298$ |
$0.94642$ |
$5.16666$ |
$[1, -1, 0, -501867, -192162209]$ |
\(y^2+xy=x^3-x^2-501867x-192162209\) |
3.4.0.a.1, 8.2.0.a.1, 21.8.0-3.a.1.1, 24.8.0.a.1, 168.16.0.? |
$[]$ |
22050.m2 |
22050cp1 |
22050.m |
22050cp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.779808$ |
$397535/392$ |
$1.09655$ |
$4.40310$ |
$[1, -1, 0, 49383, 3531541]$ |
\(y^2+xy=x^3-x^2+49383x+3531541\) |
3.4.0.a.1, 8.2.0.a.1, 21.8.0-3.a.1.2, 24.8.0.a.1, 168.16.0.? |
$[]$ |
22050.n1 |
22050bn2 |
22050.n |
22050bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$5.662755488$ |
$1$ |
|
$0$ |
$145152$ |
$1.719551$ |
$-8990558521/10485760$ |
$0.98658$ |
$4.41586$ |
$[1, -1, 0, -35667, -4493259]$ |
\(y^2+xy=x^3-x^2-35667x-4493259\) |
3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$ |
$[(3831/2, 227919/2)]$ |
22050.n2 |
22050bn1 |
22050.n |
22050bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1.887585162$ |
$1$ |
|
$2$ |
$48384$ |
$1.170244$ |
$10100279/16000$ |
$0.93051$ |
$3.68166$ |
$[1, -1, 0, 3708, 113616]$ |
\(y^2+xy=x^3-x^2+3708x+113616\) |
3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$ |
$[(39, 543)]$ |
22050.o1 |
22050x2 |
22050.o |
22050x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1016064$ |
$2.692505$ |
$-8990558521/10485760$ |
$0.98658$ |
$5.58328$ |
$[1, -1, 0, -1747692, 1544683216]$ |
\(y^2+xy=x^3-x^2-1747692x+1544683216\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.? |
$[]$ |
22050.o2 |
22050x1 |
22050.o |
22050x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$338688$ |
$2.143200$ |
$10100279/16000$ |
$0.93051$ |
$4.84908$ |
$[1, -1, 0, 181683, -39333659]$ |
\(y^2+xy=x^3-x^2+181683x-39333659\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.? |
$[]$ |
22050.p1 |
22050h2 |
22050.p |
22050h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$2520$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$46656$ |
$1.151804$ |
$-67645179/8$ |
$1.03261$ |
$4.14615$ |
$[1, -1, 0, -20967, 1173941]$ |
\(y^2+xy=x^3-x^2-20967x+1173941\) |
3.4.0.a.1, 9.12.0.b.1, 24.8.0.d.1, 63.36.0.i.2, 72.24.0.?, $\ldots$ |
$[]$ |
22050.p2 |
22050h1 |
22050.p |
22050h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$2520$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$0.602498$ |
$189/512$ |
$1.32659$ |
$3.05339$ |
$[1, -1, 0, 33, 4941]$ |
\(y^2+xy=x^3-x^2+33x+4941\) |
3.4.0.a.1, 9.12.0.b.1, 24.8.0.d.1, 63.36.0.i.1, 72.24.0.?, $\ldots$ |
$[]$ |
22050.q1 |
22050y2 |
22050.q |
22050y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$1.800943$ |
$-16591834777/98304$ |
$1.06741$ |
$4.75692$ |
$[1, -1, 0, -160092, 24820816]$ |
\(y^2+xy=x^3-x^2-160092x+24820816\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0.d.1, 120.16.0.? |
$[]$ |
22050.q2 |
22050y1 |
22050.q |
22050y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.251638$ |
$596183/864$ |
$1.03569$ |
$3.77345$ |
$[1, -1, 0, 5283, 179941]$ |
\(y^2+xy=x^3-x^2+5283x+179941\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0.d.1, 120.16.0.? |
$[]$ |
22050.r1 |
22050cq2 |
22050.r |
22050cq |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.14.0.1 |
13B |
$10920$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$299520$ |
$2.103058$ |
$-5745702166029/8192$ |
$1.08763$ |
$5.43421$ |
$[1, -1, 0, -1536117, 733183541]$ |
\(y^2+xy=x^3-x^2-1536117x+733183541\) |
13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.2, 91.42.0.?, 104.28.0.?, $\ldots$ |
$[]$ |
22050.r2 |
22050cq1 |
22050.r |
22050cq |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.14.0.1 |
13B |
$10920$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.820583$ |
$-189/2$ |
$0.91737$ |
$3.31660$ |
$[1, -1, 0, -492, -18334]$ |
\(y^2+xy=x^3-x^2-492x-18334\) |
13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.1, 91.42.0.?, 104.28.0.?, $\ldots$ |
$[]$ |
22050.s1 |
22050bp1 |
22050.s |
22050bp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{12} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$0.858699220$ |
$1$ |
|
$4$ |
$82944$ |
$1.376062$ |
$-77626969/182250$ |
$0.95834$ |
$3.99240$ |
$[1, -1, 0, -7317, 543591]$ |
\(y^2+xy=x^3-x^2-7317x+543591\) |
3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$ |
$[(39, 543)]$ |
22050.s2 |
22050bp2 |
22050.s |
22050bp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{15} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$2.576097660$ |
$1$ |
|
$0$ |
$248832$ |
$1.925369$ |
$50872947671/140625000$ |
$1.01195$ |
$4.61166$ |
$[1, -1, 0, 63558, -12001284]$ |
\(y^2+xy=x^3-x^2+63558x-12001284\) |
3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$ |
$[(6771/2, 555729/2)]$ |
22050.t1 |
22050co1 |
22050.t |
22050co |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$2.459263$ |
$461889917/263424$ |
$1.04723$ |
$5.26973$ |
$[1, -1, 0, -887742, 38976916]$ |
\(y^2+xy=x^3-x^2-887742x+38976916\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
22050.t2 |
22050co2 |
22050.t |
22050co |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$2.805836$ |
$28849701763/16941456$ |
$1.07088$ |
$5.68314$ |
$[1, -1, 0, 3522258, 307986916]$ |
\(y^2+xy=x^3-x^2+3522258x+307986916\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
22050.u1 |
22050a1 |
22050.u |
22050a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.908931800$ |
$1$ |
|
$2$ |
$423360$ |
$2.265594$ |
$4725/4$ |
$1.03704$ |
$5.00045$ |
$[1, -1, 0, 361758, 56886416]$ |
\(y^2+xy=x^3-x^2+361758x+56886416\) |
6.2.0.a.1 |
$[(-110, 4024)]$ |
22050.v1 |
22050cm1 |
22050.v |
22050cm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$2.174427$ |
$-125768785/30618$ |
$0.92563$ |
$5.01384$ |
$[1, -1, 0, -336492, -89464334]$ |
\(y^2+xy=x^3-x^2-336492x-89464334\) |
168.2.0.? |
$[]$ |
22050.w1 |
22050bl2 |
22050.w |
22050bl |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$840$ |
$48$ |
$1$ |
$16.54884639$ |
$1$ |
|
$0$ |
$1152000$ |
$2.831528$ |
$-14822892630025/42$ |
$1.02641$ |
$6.46818$ |
$[1, -1, 0, -48240117, -128949609209]$ |
\(y^2+xy=x^3-x^2-48240117x-128949609209\) |
5.12.0.a.2, 40.24.0-5.a.2.5, 105.24.0.?, 168.2.0.?, 840.48.1.? |
$[(356983019/205, 2309522693687/205)]$ |
22050.w2 |
22050bl1 |
22050.w |
22050bl |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{2} \cdot 7^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$840$ |
$48$ |
$1$ |
$3.309769278$ |
$1$ |
|
$2$ |
$230400$ |
$2.026810$ |
$46969655/130691232$ |
$1.09982$ |
$4.76238$ |
$[1, -1, 0, 9693, -25468619]$ |
\(y^2+xy=x^3-x^2+9693x-25468619\) |
5.12.0.a.1, 40.24.0-5.a.1.5, 105.24.0.?, 168.2.0.?, 840.48.1.? |
$[(6365, 504629)]$ |
22050.x1 |
22050g1 |
22050.x |
22050g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60480$ |
$1.292639$ |
$4725/4$ |
$1.03704$ |
$3.83302$ |
$[1, -1, 0, 7383, -167959]$ |
\(y^2+xy=x^3-x^2+7383x-167959\) |
6.2.0.a.1 |
$[]$ |
22050.y1 |
22050cn4 |
22050.y |
22050cn |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.988283$ |
$502270291349/1889568$ |
$1.07575$ |
$5.00325$ |
$[1, -1, 0, -365157, 84746101]$ |
\(y^2+xy=x^3-x^2-365157x+84746101\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$ |
$[]$ |
22050.y2 |
22050cn2 |
22050.y |
22050cn |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.183563$ |
$131872229/18$ |
$1.12852$ |
$4.17883$ |
$[1, -1, 0, -23382, -1370174]$ |
\(y^2+xy=x^3-x^2-23382x-1370174\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$ |
$[]$ |
22050.y3 |
22050cn3 |
22050.y |
22050cn |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$115200$ |
$1.641708$ |
$-19465109/248832$ |
$1.09754$ |
$4.30144$ |
$[1, -1, 0, -12357, 2543701]$ |
\(y^2+xy=x^3-x^2-12357x+2543701\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$ |
$[]$ |
22050.y4 |
22050cn1 |
22050.y |
22050cn |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$840$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$0.836990$ |
$-24389/12$ |
$1.10339$ |
$3.38090$ |
$[1, -1, 0, -1332, -25124]$ |
\(y^2+xy=x^3-x^2-1332x-25124\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$ |
$[]$ |