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 |
10560.a1 |
10560c1 |
10560.a |
10560c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$2.816172786$ |
$1$ |
|
$3$ |
$9216$ |
$0.659588$ |
$157079401546816/408375$ |
$0.98784$ |
$3.97705$ |
$[0, -1, 0, -4496, 117546]$ |
\(y^2=x^3-x^2-4496x+117546\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[(-5, 374)]$ |
10560.a2 |
10560c2 |
10560.a |
10560c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1.408086393$ |
$1$ |
|
$5$ |
$18432$ |
$1.006161$ |
$-2365396076224/125296875$ |
$0.96041$ |
$3.98251$ |
$[0, -1, 0, -4441, 120505]$ |
\(y^2=x^3-x^2-4441x+120505\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[(31, 108)]$ |
10560.b1 |
10560bl3 |
10560.b |
10560bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{15} \cdot 3 \cdot 5^{4} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.467676069$ |
$1$ |
|
$15$ |
$6144$ |
$0.580742$ |
$10105715528/20625$ |
$0.90093$ |
$3.60866$ |
$[0, -1, 0, -1441, 21505]$ |
\(y^2=x^3-x^2-1441x+21505\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 88.12.0.?, $\ldots$ |
$[(21, 8), (5, 120)]$ |
10560.b2 |
10560bl2 |
10560.b |
10560bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.467676069$ |
$1$ |
|
$31$ |
$3072$ |
$0.234168$ |
$48228544/27225$ |
$1.02963$ |
$2.80731$ |
$[0, -1, 0, -121, 121]$ |
\(y^2=x^3-x^2-121x+121\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 88.12.0.?, 120.24.0.?, $\ldots$ |
$[(0, 11), (21, 80)]$ |
10560.b3 |
10560bl1 |
10560.b |
10560bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$5.870704277$ |
$1$ |
|
$5$ |
$1536$ |
$-0.112406$ |
$768575296/4455$ |
$0.94232$ |
$2.65725$ |
$[0, -1, 0, -76, -230]$ |
\(y^2=x^3-x^2-76x-230\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(31, 162), (11, 12)]$ |
10560.b4 |
10560bl4 |
10560.b |
10560bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{15} \cdot 3 \cdot 5 \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$5.870704277$ |
$1$ |
|
$9$ |
$6144$ |
$0.580742$ |
$370146232/219615$ |
$0.94680$ |
$3.25172$ |
$[0, -1, 0, 479, 481]$ |
\(y^2=x^3-x^2+479x+481\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(3, 44), (15, 104)]$ |
10560.c1 |
10560d3 |
10560.c |
10560d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$440$ |
$48$ |
$0$ |
$5.791467783$ |
$1$ |
|
$3$ |
$98304$ |
$1.787752$ |
$3382175663521924/59189241375$ |
$1.07877$ |
$5.05650$ |
$[0, -1, 0, -126081, -16926975]$ |
\(y^2=x^3-x^2-126081x-16926975\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.z.1.9, 88.24.0.?, $\ldots$ |
$[(451, 4212)]$ |
10560.c2 |
10560d2 |
10560.c |
10560d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$440$ |
$48$ |
$0$ |
$2.895733891$ |
$1$ |
|
$9$ |
$49152$ |
$1.441179$ |
$28071778927696/12404390625$ |
$1.08404$ |
$4.38970$ |
$[0, -1, 0, -16081, 387025]$ |
\(y^2=x^3-x^2-16081x+387025\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 44.12.0.b.1, $\ldots$ |
$[(-56, 1053)]$ |
10560.c3 |
10560d1 |
10560.c |
10560d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1.447866945$ |
$1$ |
|
$5$ |
$24576$ |
$1.094604$ |
$275361373935616/148240125$ |
$1.00710$ |
$4.33689$ |
$[0, -1, 0, -13661, 618861]$ |
\(y^2=x^3-x^2-13661x+618861\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(65, 36)]$ |
10560.c4 |
10560d4 |
10560.c |
10560d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$5.791467783$ |
$1$ |
|
$3$ |
$98304$ |
$1.787752$ |
$283811208976796/217529296875$ |
$1.01132$ |
$4.78905$ |
$[0, -1, 0, 55199, 2824801]$ |
\(y^2=x^3-x^2+55199x+2824801\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 22.6.0.a.1, 40.24.0-40.z.1.3, $\ldots$ |
$[(120, 3341)]$ |
10560.d1 |
10560bq3 |
10560.d |
10560bq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$440$ |
$48$ |
$0$ |
$2.010149094$ |
$1$ |
|
$5$ |
$16384$ |
$1.077396$ |
$127191074376964/495$ |
$0.98053$ |
$4.70241$ |
$[0, -1, 0, -42241, 3355681]$ |
\(y^2=x^3-x^2-42241x+3355681\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.z.1.1, 88.24.0.?, $\ldots$ |
$[(120, 19)]$ |
10560.d2 |
10560bq2 |
10560.d |
10560bq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$440$ |
$48$ |
$0$ |
$1.005074547$ |
$1$ |
|
$13$ |
$8192$ |
$0.730822$ |
$124386546256/245025$ |
$0.91921$ |
$3.80479$ |
$[0, -1, 0, -2641, 53041]$ |
\(y^2=x^3-x^2-2641x+53041\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.1, 44.12.0.b.1, $\ldots$ |
$[(40, 99)]$ |
10560.d3 |
10560bq4 |
10560.d |
10560bq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$2.010149094$ |
$1$ |
|
$5$ |
$16384$ |
$1.077396$ |
$-9220796644/45106875$ |
$0.95649$ |
$3.91604$ |
$[0, -1, 0, -1761, 88065]$ |
\(y^2=x^3-x^2-1761x+88065\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 40.24.0-40.z.1.11, $\ldots$ |
$[(24, 243)]$ |
10560.d4 |
10560bq1 |
10560.d |
10560bq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$0.502537273$ |
$1$ |
|
$7$ |
$4096$ |
$0.384248$ |
$1171019776/658845$ |
$0.99612$ |
$3.00196$ |
$[0, -1, 0, -221, 285]$ |
\(y^2=x^3-x^2-221x+285\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(-4, 33)]$ |
10560.e1 |
10560bi1 |
10560.e |
10560bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.663746$ |
$14254800421166387776/269055826875$ |
$1.05954$ |
$5.20922$ |
$[0, -1, 0, -202056, 35025606]$ |
\(y^2=x^3-x^2-202056x+35025606\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
10560.e2 |
10560bi2 |
10560.e |
10560bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$2.010319$ |
$-201440287521417664/30700866796875$ |
$1.04820$ |
$5.22361$ |
$[0, -1, 0, -195401, 37433385]$ |
\(y^2=x^3-x^2-195401x+37433385\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
10560.f1 |
10560bj1 |
10560.f |
10560bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$-0.053676$ |
$1544804416/9075$ |
$1.12972$ |
$2.73260$ |
$[0, -1, 0, -96, -330]$ |
\(y^2=x^3-x^2-96x-330\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
10560.f2 |
10560bj2 |
10560.f |
10560bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.292897$ |
$-1906624/61875$ |
$1.00136$ |
$2.89515$ |
$[0, -1, 0, -41, -759]$ |
\(y^2=x^3-x^2-41x-759\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
10560.g1 |
10560bh3 |
10560.g |
10560bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.184 |
2B |
$880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.421961$ |
$15897679904620804/2475$ |
$1.00524$ |
$5.22355$ |
$[0, -1, 0, -211201, -37288415]$ |
\(y^2=x^3-x^2-211201x-37288415\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.f.1.12, 40.48.0-40.cb.1.1, $\ldots$ |
$[]$ |
10560.g2 |
10560bh5 |
10560.g |
10560bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{17} \cdot 3^{16} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.196 |
2B |
$880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.768536$ |
$1185450336504002/26043266205$ |
$0.99676$ |
$5.01816$ |
$[0, -1, 0, -112001, 14188065]$ |
\(y^2=x^3-x^2-112001x+14188065\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.f.2.12, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
10560.g3 |
10560bh4 |
10560.g |
10560bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.118 |
2Cs |
$440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32768$ |
$1.421961$ |
$5927735656804/2401490025$ |
$0.98157$ |
$4.37148$ |
$[0, -1, 0, -15201, -390015]$ |
\(y^2=x^3-x^2-15201x-390015\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.6, 20.24.0-4.b.1.2, 40.96.0-40.n.1.6, $\ldots$ |
$[]$ |
10560.g4 |
10560bh2 |
10560.g |
10560bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.106 |
2Cs |
$440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$16384$ |
$1.075388$ |
$15529488955216/6125625$ |
$1.02783$ |
$4.32580$ |
$[0, -1, 0, -13201, -579215]$ |
\(y^2=x^3-x^2-13201x-579215\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.9, 40.96.0-40.r.2.8, 44.24.0.c.1, $\ldots$ |
$[]$ |
10560.g5 |
10560bh1 |
10560.g |
10560bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.230 |
2B |
$880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.728814$ |
$-37256083456/38671875$ |
$1.05888$ |
$3.48629$ |
$[0, -1, 0, -701, -11715]$ |
\(y^2=x^3-x^2-701x-11715\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.6, 22.6.0.a.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
10560.g6 |
10560bh6 |
10560.g |
10560bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{17} \cdot 3^{4} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.228 |
2B |
$880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.768536$ |
$102949393183198/86815346805$ |
$1.00728$ |
$4.75441$ |
$[0, -1, 0, 49599, -2891295]$ |
\(y^2=x^3-x^2+49599x-2891295\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.5, 20.12.0-4.c.1.1, 40.96.0-40.bk.2.1, $\ldots$ |
$[]$ |
10560.h1 |
10560a1 |
10560.h |
10560a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$16.11148497$ |
$1$ |
|
$1$ |
$21504$ |
$1.177525$ |
$4881508724731456/19372019535$ |
$1.07286$ |
$4.34796$ |
$[0, -1, 0, -14136, -639990]$ |
\(y^2=x^3-x^2-14136x-639990\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[(9560261/74, 29481117493/74)]$ |
10560.h2 |
10560a2 |
10560.h |
10560a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$8.055742486$ |
$1$ |
|
$3$ |
$43008$ |
$1.524097$ |
$-11305786504384/159153293475$ |
$1.10517$ |
$4.49074$ |
$[0, -1, 0, -7481, -1250919]$ |
\(y^2=x^3-x^2-7481x-1250919\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[(6976, 582565)]$ |
10560.i1 |
10560bo5 |
10560.i |
10560bo |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$2640$ |
$192$ |
$1$ |
$2.543756230$ |
$1$ |
|
$3$ |
$294912$ |
$2.501480$ |
$553808571467029327441/12529687500$ |
$1.04740$ |
$6.50201$ |
$[0, -1, 0, -10949441, 13949212641]$ |
\(y^2=x^3-x^2-10949441x+13949212641\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 24.48.0-24.by.1.9, 44.12.0.h.1, $\ldots$ |
$[(1893, 1344)]$ |
10560.i2 |
10560bo3 |
10560.i |
10560bo |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$2640$ |
$192$ |
$1$ |
$5.087512460$ |
$1$ |
|
$3$ |
$147456$ |
$2.154907$ |
$182864522286982801/463015182960$ |
$1.07501$ |
$5.63682$ |
$[0, -1, 0, -756801, -252601119]$ |
\(y^2=x^3-x^2-756801x-252601119\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 24.48.0-24.by.2.1, 40.48.0-40.cb.2.5, $\ldots$ |
$[(5408, 392161)]$ |
10560.i3 |
10560bo4 |
10560.i |
10560bo |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{22} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$1320$ |
$192$ |
$1$ |
$5.087512460$ |
$1$ |
|
$5$ |
$147456$ |
$2.154907$ |
$135670761487282321/643043610000$ |
$1.02017$ |
$5.60460$ |
$[0, -1, 0, -685121, 217605345]$ |
\(y^2=x^3-x^2-685121x+217605345\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.h.1.17, 40.48.0-40.i.2.5, $\ldots$ |
$[(5403, 392700)]$ |
10560.i4 |
10560bo6 |
10560.i |
10560bo |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{20} \cdot 3^{24} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$2640$ |
$192$ |
$1$ |
$10.17502492$ |
$1$ |
|
$1$ |
$294912$ |
$2.501480$ |
$-15595206456730321/310672490129100$ |
$1.05689$ |
$5.75615$ |
$[0, -1, 0, -333121, 440562145]$ |
\(y^2=x^3-x^2-333121x+440562145\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 22.6.0.a.1, 40.48.0-40.cb.1.9, $\ldots$ |
$[(48499/3, 10633364/3)]$ |
10560.i5 |
10560bo2 |
10560.i |
10560bo |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$1320$ |
$192$ |
$1$ |
$2.543756230$ |
$1$ |
|
$9$ |
$73728$ |
$1.808332$ |
$119102750067601/68309049600$ |
$1.06441$ |
$4.84495$ |
$[0, -1, 0, -65601, -589599]$ |
\(y^2=x^3-x^2-65601x-589599\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.h.2.3, 40.48.0-40.i.1.11, $\ldots$ |
$[(288, 2079)]$ |
10560.i6 |
10560bo1 |
10560.i |
10560bo |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{34} \cdot 3^{3} \cdot 5 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$2640$ |
$192$ |
$1$ |
$5.087512460$ |
$1$ |
|
$1$ |
$36864$ |
$1.461760$ |
$1833318007919/1070530560$ |
$1.04706$ |
$4.39445$ |
$[0, -1, 0, 16319, -81695]$ |
\(y^2=x^3-x^2+16319x-81695\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 30.6.0.a.1, 48.48.0-48.f.2.11, $\ldots$ |
$[(69/2, 3619/2)]$ |
10560.j1 |
10560g3 |
10560.j |
10560g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{15} \cdot 3^{16} \cdot 5^{4} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$2.845936$ |
$151020262560470148771848/35809491031875$ |
$1.05664$ |
$6.88290$ |
$[0, -1, 0, -35502081, -81407725119]$ |
\(y^2=x^3-x^2-35502081x-81407725119\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 88.48.0.? |
$[]$ |
10560.j2 |
10560g2 |
10560.j |
10560g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$2.499363$ |
$298244193811346574784/4540317078515625$ |
$1.05063$ |
$5.98632$ |
$[0, -1, 0, -2227081, -1261560119]$ |
\(y^2=x^3-x^2-2227081x-1261560119\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 44.24.0-44.a.1.3, 88.48.0.? |
$[]$ |
10560.j3 |
10560g1 |
10560.j |
10560g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{16} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$2.152790$ |
$35529391776305786176/16450653076171875$ |
$1.06542$ |
$5.30779$ |
$[0, -1, 0, -273956, 24768006]$ |
\(y^2=x^3-x^2-273956x+24768006\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 44.12.0.h.1, 88.48.0.? |
$[]$ |
10560.j4 |
10560g4 |
10560.j |
10560g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 11^{12} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$491520$ |
$2.845936$ |
$-27851742625371848/158882936571500625$ |
$1.11843$ |
$6.20184$ |
$[0, -1, 0, -202081, -3471645119]$ |
\(y^2=x^3-x^2-202081x-3471645119\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 88.48.0.? |
$[]$ |
10560.k1 |
10560f5 |
10560.k |
10560f |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{17} \cdot 3 \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$32768$ |
$1.504889$ |
$25078144523224322/1815$ |
$1.01033$ |
$5.34757$ |
$[0, -1, 0, -309761, -66254079]$ |
\(y^2=x^3-x^2-309761x-66254079\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 48.48.0-48.f.2.11, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
10560.k2 |
10560f3 |
10560.k |
10560f |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$16384$ |
$1.158316$ |
$12247559771044/3294225$ |
$0.96615$ |
$4.44981$ |
$[0, -1, 0, -19361, -1030239]$ |
\(y^2=x^3-x^2-19361x-1030239\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.h.2.3, 40.48.0-40.h.1.9, $\ldots$ |
$[]$ |
10560.k3 |
10560f6 |
10560.k |
10560f |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{17} \cdot 3 \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.504889$ |
$-4117122162722/3215383215$ |
$0.97835$ |
$4.49915$ |
$[0, -1, 0, -16961, -1297599]$ |
\(y^2=x^3-x^2-16961x-1297599\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 24.48.0-24.by.2.1, 40.48.0-40.ca.2.5, $\ldots$ |
$[]$ |
10560.k4 |
10560f4 |
10560.k |
10560f |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.158316$ |
$1349195526724/38671875$ |
$0.95161$ |
$4.21172$ |
$[0, -1, 0, -9281, 338625]$ |
\(y^2=x^3-x^2-9281x+338625\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 24.48.0-24.by.1.9, 44.12.0.h.1, $\ldots$ |
$[]$ |
10560.k5 |
10560f2 |
10560.k |
10560f |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.811741$ |
$17029316176/6125625$ |
$0.91831$ |
$3.59016$ |
$[0, -1, 0, -1361, -11439]$ |
\(y^2=x^3-x^2-1361x-11439\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.h.1.17, 40.48.0-40.h.2.11, $\ldots$ |
$[]$ |
10560.k6 |
10560f1 |
10560.k |
10560f |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.465168$ |
$1869154304/1804275$ |
$0.94322$ |
$3.05243$ |
$[0, -1, 0, 259, -1395]$ |
\(y^2=x^3-x^2+259x-1395\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 22.6.0.a.1, 40.48.0-40.ca.1.9, $\ldots$ |
$[]$ |
10560.l1 |
10560bm3 |
10560.l |
10560bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1320$ |
$48$ |
$0$ |
$6.089034473$ |
$4$ |
$2$ |
$3$ |
$18432$ |
$1.163559$ |
$858512652814088/1485$ |
$0.98733$ |
$4.83370$ |
$[0, -1, 0, -63361, -6117695]$ |
\(y^2=x^3-x^2-63361x-6117695\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[(296, 987)]$ |
10560.l2 |
10560bm2 |
10560.l |
10560bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$3.044517236$ |
$1$ |
|
$7$ |
$9216$ |
$0.816986$ |
$1678370855104/2205225$ |
$0.98306$ |
$3.93603$ |
$[0, -1, 0, -3961, -94535]$ |
\(y^2=x^3-x^2-3961x-94535\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 220.12.0.?, $\ldots$ |
$[(161, 1848)]$ |
10560.l3 |
10560bm4 |
10560.l |
10560bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1320$ |
$48$ |
$0$ |
$1.522258618$ |
$1$ |
|
$5$ |
$18432$ |
$1.163559$ |
$-80733594248/247066875$ |
$1.03777$ |
$4.03141$ |
$[0, -1, 0, -2881, -148319]$ |
\(y^2=x^3-x^2-2881x-148319\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(93, 616)]$ |
10560.l4 |
10560bm1 |
10560.l |
10560bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{12} \cdot 5 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1320$ |
$48$ |
$0$ |
$6.089034473$ |
$1$ |
|
$1$ |
$4608$ |
$0.470413$ |
$54698902336/29229255$ |
$1.17969$ |
$3.11760$ |
$[0, -1, 0, -316, -494]$ |
\(y^2=x^3-x^2-316x-494\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 220.12.0.?, $\ldots$ |
$[(367/3, 6202/3)]$ |
10560.m1 |
10560e5 |
10560.m |
10560e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{19} \cdot 3 \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$1.739809$ |
$6484907238722641/283593750$ |
$1.00744$ |
$5.27640$ |
$[0, -1, 0, -248641, -47636159]$ |
\(y^2=x^3-x^2-248641x-47636159\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 12.12.0-4.c.1.2, 24.48.0-24.bj.1.1, $\ldots$ |
$[]$ |
10560.m2 |
10560e4 |
10560.m |
10560e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{20} \cdot 3^{8} \cdot 5 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.393236$ |
$179415687049201/1443420$ |
$0.99008$ |
$4.88918$ |
$[0, -1, 0, -75201, 7962561]$ |
\(y^2=x^3-x^2-75201x+7962561\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 40.48.0-40.cb.1.9, 48.48.0-48.h.1.27, $\ldots$ |
$[]$ |
10560.m3 |
10560e3 |
10560.m |
10560e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.393236$ |
$1834216913521/329422500$ |
$0.96888$ |
$4.39450$ |
$[0, -1, 0, -16321, -661055]$ |
\(y^2=x^3-x^2-16321x-661055\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 12.24.0-4.b.1.2, 24.48.0-24.e.1.9, $\ldots$ |
$[]$ |
10560.m4 |
10560e2 |
10560.m |
10560e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.046661$ |
$46694890801/3920400$ |
$0.93791$ |
$3.99830$ |
$[0, -1, 0, -4801, 120001]$ |
\(y^2=x^3-x^2-4801x+120001\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.l.1.5, 40.48.0-40.i.2.5, $\ldots$ |
$[]$ |