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 |
768.a4 |
768b1 |
768.a |
768b |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \) |
\( - 2^{9} \cdot 3^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$0.566658376$ |
$1$ |
|
$7$ |
$32$ |
$-0.617716$ |
$64/9$ |
$1.31110$ |
$2.39113$ |
$[0, -1, 0, 1, 3]$ |
\(y^2=x^3-x^2+x+3\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(1, 2)]$ |
768.d4 |
768f2 |
768.d |
768f |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \) |
\( - 2^{15} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.271142$ |
$64/9$ |
$1.31110$ |
$3.01711$ |
$[0, -1, 0, 3, -27]$ |
\(y^2=x^3-x^2+3x-27\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
768.e4 |
768h1 |
768.e |
768h |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \) |
\( - 2^{9} \cdot 3^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1.122410996$ |
$1$ |
|
$7$ |
$32$ |
$-0.617716$ |
$64/9$ |
$1.31110$ |
$2.39113$ |
$[0, 1, 0, 1, -3]$ |
\(y^2=x^3+x^2+x-3\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(3, 6)]$ |
768.h4 |
768d2 |
768.h |
768d |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \) |
\( - 2^{15} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.271142$ |
$64/9$ |
$1.31110$ |
$3.01711$ |
$[0, 1, 0, 3, 27]$ |
\(y^2=x^3+x^2+3x+27\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
2304.b4 |
2304o2 |
2304.b |
2304o |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1.007607224$ |
$1$ |
|
$5$ |
$512$ |
$0.278164$ |
$64/9$ |
$1.31110$ |
$3.44037$ |
$[0, 0, 0, 24, 704]$ |
\(y^2=x^3+24x+704\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(1, 27)]$ |
2304.e4 |
2304g2 |
2304.e |
2304g |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.278164$ |
$64/9$ |
$1.31110$ |
$3.44037$ |
$[0, 0, 0, 24, -704]$ |
\(y^2=x^3+24x-704\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
2304.l4 |
2304n1 |
2304.l |
2304n |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \) |
\( - 2^{9} \cdot 3^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$0.852619742$ |
$1$ |
|
$5$ |
$256$ |
$-0.068409$ |
$64/9$ |
$1.31110$ |
$2.90321$ |
$[0, 0, 0, 6, 88]$ |
\(y^2=x^3+6x+88\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-1, 9)]$ |
2304.o4 |
2304f1 |
2304.o |
2304f |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \) |
\( - 2^{9} \cdot 3^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$-0.068409$ |
$64/9$ |
$1.31110$ |
$2.90321$ |
$[0, 0, 0, 6, -88]$ |
\(y^2=x^3+6x-88\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
19200.f4 |
19200f2 |
19200.f |
19200f |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1.695450196$ |
$1$ |
|
$7$ |
$8192$ |
$0.533577$ |
$64/9$ |
$1.31110$ |
$3.01152$ |
$[0, -1, 0, 67, 3237]$ |
\(y^2=x^3-x^2+67x+3237\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(11, 72)]$ |
19200.p4 |
19200w1 |
19200.p |
19200w |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.187004$ |
$64/9$ |
$1.31110$ |
$2.58984$ |
$[0, -1, 0, 17, -413]$ |
\(y^2=x^3-x^2+17x-413\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
19200.bc4 |
19200o1 |
19200.bc |
19200o |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.187004$ |
$64/9$ |
$1.31110$ |
$2.58984$ |
$[0, 1, 0, 17, 413]$ |
\(y^2=x^3+x^2+17x+413\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
19200.bm4 |
19200bj2 |
19200.bm |
19200bj |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$5.112040647$ |
$1$ |
|
$1$ |
$8192$ |
$0.533577$ |
$64/9$ |
$1.31110$ |
$3.01152$ |
$[0, 1, 0, 67, -3237]$ |
\(y^2=x^3+x^2+67x-3237\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(742/3, 20375/3)]$ |
37632.d4 |
37632k2 |
37632.d |
37632k |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$0.701814$ |
$64/9$ |
$1.31110$ |
$3.01079$ |
$[0, -1, 0, 131, -8987]$ |
\(y^2=x^3-x^2+131x-8987\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
37632.w4 |
37632bj1 |
37632.w |
37632bj |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$2.477632294$ |
$1$ |
|
$5$ |
$11520$ |
$0.355240$ |
$64/9$ |
$1.31110$ |
$2.61604$ |
$[0, -1, 0, 33, 1107]$ |
\(y^2=x^3-x^2+33x+1107\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-7, 22)]$ |
37632.bd4 |
37632bx2 |
37632.bd |
37632bx |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$0.701814$ |
$64/9$ |
$1.31110$ |
$3.01079$ |
$[0, 1, 0, 131, 8987]$ |
\(y^2=x^3+x^2+131x+8987\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
37632.bw4 |
37632w1 |
37632.bw |
37632w |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$5.521662637$ |
$1$ |
|
$3$ |
$11520$ |
$0.355240$ |
$64/9$ |
$1.31110$ |
$2.61604$ |
$[0, 1, 0, 33, -1107]$ |
\(y^2=x^3+x^2+33x-1107\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(347, 6474)]$ |
57600.z4 |
57600bb2 |
57600.z |
57600bb |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$6.276333712$ |
$1$ |
|
$11$ |
$65536$ |
$1.082884$ |
$64/9$ |
$1.31110$ |
$3.31105$ |
$[0, 0, 0, 600, -88000]$ |
\(y^2=x^3+600x-88000\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(49, 243), (65, 475)]$ |
57600.ba4 |
57600ba1 |
57600.ba |
57600ba |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.736310$ |
$64/9$ |
$1.31110$ |
$2.93163$ |
$[0, 0, 0, 150, -11000]$ |
\(y^2=x^3+150x-11000\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
57600.cr4 |
57600cp2 |
57600.cr |
57600cp |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$2.647050555$ |
$1$ |
|
$5$ |
$65536$ |
$1.082884$ |
$64/9$ |
$1.31110$ |
$3.31105$ |
$[0, 0, 0, 600, 88000]$ |
\(y^2=x^3+600x+88000\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-15, 275)]$ |
57600.cs4 |
57600co1 |
57600.cs |
57600co |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$240$ |
$288$ |
$5$ |
$2.133160694$ |
$1$ |
|
$3$ |
$32768$ |
$0.736310$ |
$64/9$ |
$1.31110$ |
$2.93163$ |
$[0, 0, 0, 150, 11000]$ |
\(y^2=x^3+150x+11000\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(4, 108)]$ |
92928.c4 |
92928f1 |
92928.c |
92928f |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$3.414148798$ |
$1$ |
|
$11$ |
$46080$ |
$0.581232$ |
$64/9$ |
$1.31110$ |
$2.64638$ |
$[0, -1, 0, 81, -4365]$ |
\(y^2=x^3-x^2+81x-4365\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(26, 121), (18, 51)]$ |
92928.n4 |
92928t2 |
92928.n |
92928t |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$2.403554002$ |
$1$ |
|
$3$ |
$92160$ |
$0.927806$ |
$64/9$ |
$1.31110$ |
$3.00994$ |
$[0, -1, 0, 323, 34597]$ |
\(y^2=x^3-x^2+323x+34597\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(323, 5808)]$ |
92928.u4 |
92928bc1 |
92928.u |
92928bc |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.581232$ |
$64/9$ |
$1.31110$ |
$2.64638$ |
$[0, 1, 0, 81, 4365]$ |
\(y^2=x^3+x^2+81x+4365\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
92928.bb4 |
92928n2 |
92928.bb |
92928n |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$4.961911600$ |
$1$ |
|
$3$ |
$92160$ |
$0.927806$ |
$64/9$ |
$1.31110$ |
$3.00994$ |
$[0, 1, 0, 323, -34597]$ |
\(y^2=x^3+x^2+323x-34597\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(2702, 140481)]$ |
112896.u4 |
112896bv1 |
112896.u |
112896bv |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1.904785470$ |
$1$ |
|
$5$ |
$92160$ |
$0.904546$ |
$64/9$ |
$1.31110$ |
$2.93559$ |
$[0, 0, 0, 294, 30184]$ |
\(y^2=x^3+294x+30184\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-10, 162)]$ |
112896.v4 |
112896dz1 |
112896.v |
112896dz |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$0.904546$ |
$64/9$ |
$1.31110$ |
$2.93559$ |
$[0, 0, 0, 294, -30184]$ |
\(y^2=x^3+294x-30184\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
112896.dj4 |
112896dt2 |
112896.dj |
112896dt |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.251120$ |
$64/9$ |
$1.31110$ |
$3.29306$ |
$[0, 0, 0, 1176, -241472]$ |
\(y^2=x^3+1176x-241472\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
112896.dk4 |
112896br2 |
112896.dk |
112896br |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$3.724726127$ |
$1$ |
|
$3$ |
$184320$ |
$1.251120$ |
$64/9$ |
$1.31110$ |
$3.29306$ |
$[0, 0, 0, 1176, 241472]$ |
\(y^2=x^3+1176x+241472\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(169, 2295)]$ |
129792.c4 |
129792j2 |
129792.c |
129792j |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.011333$ |
$64/9$ |
$1.31110$ |
$3.00965$ |
$[0, -1, 0, 451, -57435]$ |
\(y^2=x^3-x^2+451x-57435\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
129792.f4 |
129792b1 |
129792.f |
129792b |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$2.897103078$ |
$1$ |
|
$5$ |
$69120$ |
$0.664760$ |
$64/9$ |
$1.31110$ |
$2.65642$ |
$[0, -1, 0, 113, 7123]$ |
\(y^2=x^3-x^2+113x+7123\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-14, 51)]$ |
129792.i4 |
129792f2 |
129792.i |
129792f |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.011333$ |
$64/9$ |
$1.31110$ |
$3.00965$ |
$[0, 1, 0, 451, 57435]$ |
\(y^2=x^3+x^2+451x+57435\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
129792.p4 |
129792n1 |
129792.p |
129792n |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$10.47056771$ |
$1$ |
|
$1$ |
$69120$ |
$0.664760$ |
$64/9$ |
$1.31110$ |
$2.65642$ |
$[0, 1, 0, 113, -7123]$ |
\(y^2=x^3+x^2+113x-7123\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(41996/37, 8191431/37)]$ |
221952.d4 |
221952bh2 |
221952.d |
221952bh |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4080$ |
$288$ |
$5$ |
$1.560363861$ |
$1$ |
|
$5$ |
$327680$ |
$1.145464$ |
$64/9$ |
$1.31110$ |
$3.00923$ |
$[0, -1, 0, 771, 127845]$ |
\(y^2=x^3-x^2+771x+127845\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-28, 289)]$ |
221952.q4 |
221952r1 |
221952.q |
221952r |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4080$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$0.798891$ |
$64/9$ |
$1.31110$ |
$2.67139$ |
$[0, -1, 0, 193, -16077]$ |
\(y^2=x^3-x^2+193x-16077\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
221952.z4 |
221952d2 |
221952.z |
221952d |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4080$ |
$288$ |
$5$ |
$6.720020834$ |
$1$ |
|
$3$ |
$327680$ |
$1.145464$ |
$64/9$ |
$1.31110$ |
$3.00923$ |
$[0, 1, 0, 771, -127845]$ |
\(y^2=x^3+x^2+771x-127845\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(68997, 18123768)]$ |
221952.bi4 |
221952ba1 |
221952.bi |
221952ba |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4080$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$0.798891$ |
$64/9$ |
$1.31110$ |
$2.67139$ |
$[0, 1, 0, 193, 16077]$ |
\(y^2=x^3+x^2+193x+16077\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
277248.b4 |
277248b1 |
277248.b |
277248b |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4560$ |
$288$ |
$5$ |
$1.694522036$ |
$1$ |
|
$3$ |
$221184$ |
$0.854505$ |
$64/9$ |
$1.31110$ |
$2.67723$ |
$[0, -1, 0, 241, 22275]$ |
\(y^2=x^3-x^2+241x+22275\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(127, 1444)]$ |
277248.g4 |
277248g2 |
277248.g |
277248g |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4560$ |
$288$ |
$5$ |
$11.37166029$ |
$1$ |
|
$5$ |
$442368$ |
$1.201078$ |
$64/9$ |
$1.31110$ |
$3.00907$ |
$[0, -1, 0, 963, -179163]$ |
\(y^2=x^3-x^2+963x-179163\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(203, 2888), (11859/5, 1291752/5)]$ |
277248.j4 |
277248j1 |
277248.j |
277248j |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4560$ |
$288$ |
$5$ |
$5.242896105$ |
$1$ |
|
$1$ |
$221184$ |
$0.854505$ |
$64/9$ |
$1.31110$ |
$2.67723$ |
$[0, 1, 0, 241, -22275]$ |
\(y^2=x^3+x^2+241x-22275\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(3436/3, 201799/3)]$ |
277248.o4 |
277248o2 |
277248.o |
277248o |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$4560$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.201078$ |
$64/9$ |
$1.31110$ |
$3.00907$ |
$[0, 1, 0, 963, 179163]$ |
\(y^2=x^3+x^2+963x+179163\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
278784.h4 |
278784h2 |
278784.h |
278784h |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$1.608366115$ |
$1$ |
|
$5$ |
$737280$ |
$1.477112$ |
$64/9$ |
$1.31110$ |
$3.27193$ |
$[0, 0, 0, 2904, 937024]$ |
\(y^2=x^3+2904x+937024\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(0, 968)]$ |
278784.r4 |
278784r2 |
278784.r |
278784r |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$6.549215543$ |
$1$ |
|
$9$ |
$737280$ |
$1.477112$ |
$64/9$ |
$1.31110$ |
$3.27193$ |
$[0, 0, 0, 2904, -937024]$ |
\(y^2=x^3+2904x-937024\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(121, 1089), (1144/3, 32912/3)]$ |
278784.bi4 |
278784bi1 |
278784.bi |
278784bi |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$1.790471364$ |
$1$ |
|
$3$ |
$368640$ |
$1.130539$ |
$64/9$ |
$1.31110$ |
$2.94023$ |
$[0, 0, 0, 726, 117128]$ |
\(y^2=x^3+726x+117128\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(44, 484)]$ |
278784.bs4 |
278784bs1 |
278784.bs |
278784bs |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$2640$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.130539$ |
$64/9$ |
$1.31110$ |
$2.94023$ |
$[0, 0, 0, 726, -117128]$ |
\(y^2=x^3+726x-117128\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
389376.h4 |
389376h1 |
389376.h |
389376h |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.214066$ |
$64/9$ |
$1.31110$ |
$2.94178$ |
$[0, 0, 0, 1014, -193336]$ |
\(y^2=x^3+1014x-193336\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
389376.q4 |
389376q1 |
389376.q |
389376q |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$3.865642997$ |
$1$ |
|
$3$ |
$552960$ |
$1.214066$ |
$64/9$ |
$1.31110$ |
$2.94178$ |
$[0, 0, 0, 1014, 193336]$ |
\(y^2=x^3+1014x+193336\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(95, 1071)]$ |
389376.bn4 |
389376bn2 |
389376.bn |
389376bn |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.560638$ |
$64/9$ |
$1.31110$ |
$3.26487$ |
$[0, 0, 0, 4056, -1546688]$ |
\(y^2=x^3+4056x-1546688\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
389376.bw4 |
389376bw2 |
389376.bw |
389376bw |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$6.917906193$ |
$1$ |
|
$1$ |
$1105920$ |
$1.560638$ |
$64/9$ |
$1.31110$ |
$3.26487$ |
$[0, 0, 0, 4056, 1546688]$ |
\(y^2=x^3+4056x+1546688\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(2161/5, 199341/5)]$ |
406272.g4 |
406272g2 |
406272.g |
406272g |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 23^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$5520$ |
$288$ |
$5$ |
$6.334110511$ |
$1$ |
|
$1$ |
$788480$ |
$1.296606$ |
$64/9$ |
$1.31110$ |
$3.00880$ |
$[0, -1, 0, 1411, 316773]$ |
\(y^2=x^3-x^2+1411x+316773\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-1141/5, 49248/5)]$ |
406272.p4 |
406272p1 |
406272.p |
406272p |
$4$ |
$10$ |
\( 2^{8} \cdot 3 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$5520$ |
$288$ |
$5$ |
$16.66356988$ |
$1$ |
|
$7$ |
$394240$ |
$0.950031$ |
$64/9$ |
$1.31110$ |
$2.68678$ |
$[0, -1, 0, 353, -39773]$ |
\(y^2=x^3-x^2+353x-39773\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(33, 82), (178, 2373)]$ |