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 |
3150.a1 |
3150m2 |
3150.a |
3150m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$1.739342$ |
$-7620530425/526848$ |
$0.98174$ |
$5.65514$ |
$[1, -1, 0, -78867, 9039541]$ |
\(y^2+xy=x^3-x^2-78867x+9039541\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 840.16.0.? |
$[ ]$ |
3150.a2 |
3150m1 |
3150.a |
3150m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{10} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$1.190037$ |
$2595575/1512$ |
$1.04999$ |
$4.64986$ |
$[1, -1, 0, 5508, 11416]$ |
\(y^2+xy=x^3-x^2+5508x+11416\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 840.16.0.? |
$[ ]$ |
3150.b1 |
3150f1 |
3150.b |
3150f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6240$ |
$0.942789$ |
$10733445/57344$ |
$1.13541$ |
$4.27903$ |
$[1, -1, 0, 1008, -35584]$ |
\(y^2+xy=x^3-x^2+1008x-35584\) |
168.2.0.? |
$[ ]$ |
3150.c1 |
3150p1 |
3150.c |
3150p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{13} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.293817945$ |
$1$ |
|
$4$ |
$6720$ |
$1.201471$ |
$-125768785/30618$ |
$0.92563$ |
$4.77561$ |
$[1, -1, 0, -6867, 262791]$ |
\(y^2+xy=x^3-x^2-6867x+262791\) |
168.2.0.? |
$[(219, 2928)]$ |
3150.d1 |
3150q1 |
3150.d |
3150q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.797554875$ |
$1$ |
|
$7$ |
$15360$ |
$1.486309$ |
$461889917/263424$ |
$1.04723$ |
$5.09331$ |
$[1, -1, 0, -18117, -108459]$ |
\(y^2+xy=x^3-x^2-18117x-108459\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(138, 3)]$ |
3150.d2 |
3150q2 |
3150.d |
3150q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.398777437$ |
$1$ |
|
$8$ |
$30720$ |
$1.832882$ |
$28849701763/16941456$ |
$1.07088$ |
$5.60659$ |
$[1, -1, 0, 71883, -918459]$ |
\(y^2+xy=x^3-x^2+71883x-918459\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(270, 6039)]$ |
3150.e1 |
3150e2 |
3150.e |
3150e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$1680$ |
$96$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.583418$ |
$280844088456303/614656$ |
$1.09700$ |
$5.95701$ |
$[1, -1, 0, -184182, -30378124]$ |
\(y^2+xy=x^3-x^2-184182x-30378124\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.2, 56.24.0.dm.1, $\ldots$ |
$[ ]$ |
3150.e2 |
3150e1 |
3150.e |
3150e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$1680$ |
$96$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.236845$ |
$-66282611823/3211264$ |
$1.06365$ |
$4.93018$ |
$[1, -1, 0, -11382, -483724]$ |
\(y^2+xy=x^3-x^2-11382x-483724\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 28.12.0.n.1, 30.6.0.a.1, $\ldots$ |
$[ ]$ |
3150.f1 |
3150k7 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.856289$ |
$4791901410190533590281/41160000$ |
$1.06333$ |
$8.21455$ |
$[1, -1, 0, -79027317, 270424292341]$ |
\(y^2+xy=x^3-x^2-79027317x+270424292341\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[ ]$ |
3150.f2 |
3150k6 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$420$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$2.509716$ |
$1169975873419524361/108425318400$ |
$1.03966$ |
$7.18196$ |
$[1, -1, 0, -4939317, 4226108341]$ |
\(y^2+xy=x^3-x^2-4939317x+4226108341\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.10, 15.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
3150.f3 |
3150k8 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{7} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.856289$ |
$-932348627918877961/358766164249920$ |
$1.04500$ |
$7.21706$ |
$[1, -1, 0, -4579317, 4867988341]$ |
\(y^2+xy=x^3-x^2-4579317x+4867988341\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.2.6, $\ldots$ |
$[ ]$ |
3150.f4 |
3150k4 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{18} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$2.306984$ |
$9150443179640281/184570312500$ |
$1.02214$ |
$6.57974$ |
$[1, -1, 0, -980442, 367339216]$ |
\(y^2+xy=x^3-x^2-980442x+367339216\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[ ]$ |
3150.f5 |
3150k3 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{24} \cdot 3^{7} \cdot 5^{7} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$2.163143$ |
$353108405631241/86318776320$ |
$1.01547$ |
$6.17568$ |
$[1, -1, 0, -331317, 55868341]$ |
\(y^2+xy=x^3-x^2-331317x+55868341\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[ ]$ |
3150.f6 |
3150k2 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{12} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$420$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$36864$ |
$1.960411$ |
$21302308926361/8930250000$ |
$1.01362$ |
$5.82709$ |
$[1, -1, 0, -129942, -9432284]$ |
\(y^2+xy=x^3-x^2-129942x-9432284\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.6, 15.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
3150.f7 |
3150k1 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.613836$ |
$13619385906841/6048000$ |
$0.98997$ |
$5.77156$ |
$[1, -1, 0, -111942, -14382284]$ |
\(y^2+xy=x^3-x^2-111942x-14382284\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[ ]$ |
3150.f8 |
3150k5 |
3150.f |
3150k |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{18} \cdot 5^{9} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$2.306984$ |
$785793873833639/637994920500$ |
$1.03472$ |
$6.27499$ |
$[1, -1, 0, 432558, -69619784]$ |
\(y^2+xy=x^3-x^2+432558x-69619784\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.1.7, $\ldots$ |
$[ ]$ |
3150.g1 |
3150b3 |
3150.g |
3150b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1.601517887$ |
$1$ |
|
$7$ |
$6912$ |
$1.267229$ |
$4767078987/6860$ |
$0.94607$ |
$5.19284$ |
$[1, -1, 0, -23667, -1393759]$ |
\(y^2+xy=x^3-x^2-23667x-1393759\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cc.1, $\ldots$ |
$[(-91, 58)]$ |
3150.g2 |
3150b4 |
3150.g |
3150b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$3.203035775$ |
$1$ |
|
$4$ |
$13824$ |
$1.613804$ |
$-1740992427/5882450$ |
$0.98563$ |
$5.30647$ |
$[1, -1, 0, -16917, -2210509]$ |
\(y^2+xy=x^3-x^2-16917x-2210509\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cb.1, $\ldots$ |
$[(179, 598)]$ |
3150.g3 |
3150b1 |
3150.g |
3150b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$0.533839295$ |
$1$ |
|
$9$ |
$2304$ |
$0.717923$ |
$416832723/56000$ |
$0.92419$ |
$4.07201$ |
$[1, -1, 0, -1167, 13741]$ |
\(y^2+xy=x^3-x^2-1167x+13741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cc.1, $\ldots$ |
$[(9, 58)]$ |
3150.g4 |
3150b2 |
3150.g |
3150b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1.067678591$ |
$1$ |
|
$6$ |
$4608$ |
$1.064497$ |
$1613964717/6125000$ |
$0.98796$ |
$4.45300$ |
$[1, -1, 0, 1833, 70741]$ |
\(y^2+xy=x^3-x^2+1833x+70741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cb.1, $\ldots$ |
$[(-1, 263)]$ |
3150.h1 |
3150a1 |
3150.h |
3150a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$0.340854591$ |
$1$ |
|
$4$ |
$288$ |
$-0.230080$ |
$-30642435/56$ |
$0.90955$ |
$2.94914$ |
$[1, -1, 0, -57, 181]$ |
\(y^2+xy=x^3-x^2-57x+181\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 840.16.0.? |
$[(5, -1)]$ |
3150.h2 |
3150a2 |
3150.h |
3150a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1.022563774$ |
$1$ |
|
$4$ |
$864$ |
$0.319226$ |
$179685/686$ |
$0.89761$ |
$3.34290$ |
$[1, -1, 0, 93, 791]$ |
\(y^2+xy=x^3-x^2+93x+791\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 840.16.0.? |
$[(-5, 16)]$ |
3150.i1 |
3150l6 |
3150.i |
3150l |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$2520$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$1.767126$ |
$2251439055699625/25088$ |
$1.06489$ |
$6.40567$ |
$[1, -1, 0, -614367, 185502541]$ |
\(y^2+xy=x^3-x^2-614367x+185502541\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
3150.i2 |
3150l5 |
3150.i |
3150l |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$2520$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$10368$ |
$1.420553$ |
$-548347731625/1835008$ |
$1.02933$ |
$5.37348$ |
$[1, -1, 0, -38367, 2910541]$ |
\(y^2+xy=x^3-x^2-38367x+2910541\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
3150.i3 |
3150l4 |
3150.i |
3150l |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$2520$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$1.217819$ |
$4956477625/941192$ |
$1.00821$ |
$4.78852$ |
$[1, -1, 0, -7992, 227416]$ |
\(y^2+xy=x^3-x^2-7992x+227416\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 15.24.0-3.a.1.1, $\ldots$ |
$[ ]$ |
3150.i4 |
3150l2 |
3150.i |
3150l |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$2520$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.668514$ |
$128787625/98$ |
$0.96763$ |
$4.33536$ |
$[1, -1, 0, -2367, -43709]$ |
\(y^2+xy=x^3-x^2-2367x-43709\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
3150.i5 |
3150l1 |
3150.i |
3150l |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$2520$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.321940$ |
$-15625/28$ |
$1.01712$ |
$3.39101$ |
$[1, -1, 0, -117, -959]$ |
\(y^2+xy=x^3-x^2-117x-959\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[ ]$ |
3150.i6 |
3150l3 |
3150.i |
3150l |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$2520$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.871246$ |
$9938375/21952$ |
$0.98695$ |
$4.14589$ |
$[1, -1, 0, 1008, 20416]$ |
\(y^2+xy=x^3-x^2+1008x+20416\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[ ]$ |
3150.j1 |
3150r1 |
3150.j |
3150r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.362666196$ |
$1$ |
|
$2$ |
$3696$ |
$0.786409$ |
$-1026590625/100352$ |
$1.12597$ |
$4.21283$ |
$[1, -1, 0, -1617, -26659]$ |
\(y^2+xy=x^3-x^2-1617x-26659\) |
8.2.0.a.1 |
$[(53, 159)]$ |
3150.k1 |
3150g2 |
3150.k |
3150g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$1.349463$ |
$139798359/98$ |
$1.01524$ |
$5.35411$ |
$[1, -1, 0, -36492, 2690666]$ |
\(y^2+xy=x^3-x^2-36492x+2690666\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[ ]$ |
3150.k2 |
3150g1 |
3150.k |
3150g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$1.002888$ |
$59319/28$ |
$0.97255$ |
$4.39012$ |
$[1, -1, 0, -2742, 24416]$ |
\(y^2+xy=x^3-x^2-2742x+24416\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[ ]$ |
3150.l1 |
3150j2 |
3150.l |
3150j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.935022911$ |
$1$ |
|
$6$ |
$768$ |
$-0.004563$ |
$139798359/98$ |
$1.01524$ |
$3.33698$ |
$[1, -1, 0, -162, -754]$ |
\(y^2+xy=x^3-x^2-162x-754\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-7, 4)]$ |
3150.l2 |
3150j1 |
3150.l |
3150j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.467511455$ |
$1$ |
|
$9$ |
$384$ |
$-0.351137$ |
$59319/28$ |
$0.97255$ |
$2.37299$ |
$[1, -1, 0, -12, -4]$ |
\(y^2+xy=x^3-x^2-12x-4\) |
2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(-2, 4)]$ |
3150.m1 |
3150u2 |
3150.m |
3150u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$10800$ |
$1.356159$ |
$-417267265/235298$ |
$0.94642$ |
$4.96535$ |
$[1, -1, 0, -10242, 563166]$ |
\(y^2+xy=x^3-x^2-10242x+563166\) |
3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8 |
$[ ]$ |
3150.m2 |
3150u1 |
3150.m |
3150u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3600$ |
$0.806853$ |
$397535/392$ |
$1.09655$ |
$4.01733$ |
$[1, -1, 0, 1008, -10584]$ |
\(y^2+xy=x^3-x^2+1008x-10584\) |
3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6 |
$[ ]$ |
3150.n1 |
3150n2 |
3150.n |
3150n |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$840$ |
$48$ |
$1$ |
$1.001415231$ |
$1$ |
|
$4$ |
$24000$ |
$1.858574$ |
$-14822892630025/42$ |
$1.02641$ |
$6.58128$ |
$[1, -1, 0, -984492, 376227666]$ |
\(y^2+xy=x^3-x^2-984492x+376227666\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 168.2.0.?, 280.24.0.?, 840.48.1.? |
$[(573, -282)]$ |
3150.n2 |
3150n1 |
3150.n |
3150n |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{2} \cdot 7^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$840$ |
$48$ |
$1$ |
$0.200283046$ |
$1$ |
|
$6$ |
$4800$ |
$1.053854$ |
$46969655/130691232$ |
$1.09982$ |
$4.46340$ |
$[1, -1, 0, 198, 74196]$ |
\(y^2+xy=x^3-x^2+198x+74196\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 168.2.0.?, 280.24.0.?, 840.48.1.? |
$[(15, 276)]$ |
3150.o1 |
3150h2 |
3150.o |
3150h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$5.829710023$ |
$1$ |
|
$0$ |
$4320$ |
$1.123945$ |
$-30642435/56$ |
$0.90955$ |
$4.96627$ |
$[1, -1, 0, -12867, -559459]$ |
\(y^2+xy=x^3-x^2-12867x-559459\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[(1507/2, 53897/2)]$ |
3150.o2 |
3150h1 |
3150.o |
3150h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1.943236674$ |
$1$ |
|
$6$ |
$1440$ |
$0.574639$ |
$179685/686$ |
$0.89761$ |
$3.72340$ |
$[1, -1, 0, 258, -3834]$ |
\(y^2+xy=x^3-x^2+258x-3834\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[(33, 183)]$ |
3150.p1 |
3150i2 |
3150.p |
3150i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$1680$ |
$96$ |
$3$ |
$0.588531152$ |
$1$ |
|
$10$ |
$30720$ |
$1.838831$ |
$280844088456303/614656$ |
$1.09700$ |
$6.33750$ |
$[1, -1, 0, -511617, 140980541]$ |
\(y^2+xy=x^3-x^2-511617x+140980541\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.2, 56.24.0.dm.1, $\ldots$ |
$[(418, -41)]$ |
3150.p2 |
3150i1 |
3150.p |
3150i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$1680$ |
$96$ |
$3$ |
$1.177062305$ |
$1$ |
|
$7$ |
$15360$ |
$1.492256$ |
$-66282611823/3211264$ |
$1.06365$ |
$5.31068$ |
$[1, -1, 0, -31617, 2260541]$ |
\(y^2+xy=x^3-x^2-31617x+2260541\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 28.12.0.n.1, 30.6.0.a.1, $\ldots$ |
$[(50, 871)]$ |
3150.q1 |
3150s1 |
3150.q |
3150s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12800$ |
$1.445372$ |
$4386781853/27216$ |
$0.96368$ |
$5.37277$ |
$[1, -1, 0, -38367, -2867459]$ |
\(y^2+xy=x^3-x^2-38367x-2867459\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[ ]$ |
3150.q2 |
3150s2 |
3150.q |
3150s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{16} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25600$ |
$1.791945$ |
$-310288733/11573604$ |
$1.03520$ |
$5.56302$ |
$[1, -1, 0, -15867, -6219959]$ |
\(y^2+xy=x^3-x^2-15867x-6219959\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[ ]$ |
3150.r1 |
3150t1 |
3150.r |
3150t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{11} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$91200$ |
$2.269257$ |
$-1103770289367265/891813888$ |
$1.02860$ |
$6.71695$ |
$[1, -1, 0, -1416492, 649694416]$ |
\(y^2+xy=x^3-x^2-1416492x+649694416\) |
168.2.0.? |
$[ ]$ |
3150.s1 |
3150d1 |
3150.s |
3150d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 7^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$2.259632$ |
$551105805571803/1376829440$ |
$1.06833$ |
$6.64010$ |
$[1, -1, 0, -1152942, -475178284]$ |
\(y^2+xy=x^3-x^2-1152942x-475178284\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[ ]$ |
3150.s2 |
3150d2 |
3150.s |
3150d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$2.606205$ |
$-134745327251163/903920796800$ |
$1.10388$ |
$6.77971$ |
$[1, -1, 0, -720942, -835898284]$ |
\(y^2+xy=x^3-x^2-720942x-835898284\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[ ]$ |
3150.t1 |
3150o3 |
3150.t |
3150o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{10} \cdot 5^{7} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.420119185$ |
$1$ |
|
$6$ |
$12288$ |
$1.367609$ |
$5763259856089/5670$ |
$0.98492$ |
$5.66480$ |
$[1, -1, 0, -84042, -9356634]$ |
\(y^2+xy=x^3-x^2-84042x-9356634\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 56.12.0-4.c.1.6, $\ldots$ |
$[(-167, 84)]$ |
3150.t2 |
3150o2 |
3150.t |
3150o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.210059592$ |
$1$ |
|
$14$ |
$6144$ |
$1.021034$ |
$1439069689/44100$ |
$0.92114$ |
$4.63499$ |
$[1, -1, 0, -5292, -142884]$ |
\(y^2+xy=x^3-x^2-5292x-142884\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 56.12.0-2.a.1.2, 84.12.0.?, $\ldots$ |
$[(-42, 84)]$ |
3150.t3 |
3150o1 |
3150.t |
3150o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.605029796$ |
$1$ |
|
$9$ |
$3072$ |
$0.674461$ |
$4826809/1680$ |
$1.01603$ |
$3.92767$ |
$[1, -1, 0, -792, 5616]$ |
\(y^2+xy=x^3-x^2-792x+5616\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 56.12.0-4.c.1.6, $\ldots$ |
$[(4, 48)]$ |
3150.t4 |
3150o4 |
3150.t |
3150o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.605029796$ |
$1$ |
|
$8$ |
$12288$ |
$1.367609$ |
$30080231/9003750$ |
$1.02840$ |
$4.93029$ |
$[1, -1, 0, 1458, -487134]$ |
\(y^2+xy=x^3-x^2+1458x-487134\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 56.12.0-4.c.1.6, $\ldots$ |
$[(99, 738)]$ |