Isogeny class 529.14-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 529.14-a1
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( -a^{4} + a^{3} + 3 a^{2} - 4 a - 1\) , \( a^{3} - 2 a + 1\) , \( 7 a^{4} - 18 a^{3} - 17 a^{2} + 48 a - 12\) , \( -27 a^{4} + 46 a^{3} + 68 a^{2} - 129 a + 26\bigr] \)
|
| 529.14-a2
| \( \bigl[a^{2} - 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{2} - 1\) , \( -17 a^{4} - 3 a^{3} + 94 a^{2} + 8 a - 117\) , \( -157 a^{4} + 133 a^{3} + 635 a^{2} - 364 a - 450\bigr] \)
|
| 529.14-a3
| \( \bigl[a^{4} - 4 a^{2} + 3\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a - 1\) , \( a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( 47 a^{4} + 150 a^{3} - 160 a^{2} - 971 a - 874\) , \( -7241 a^{4} - 8629 a^{3} + 18825 a^{2} + 27489 a + 9832\bigr] \)
|
| 529.14-a4
| \( \bigl[a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -a^{4} - a^{3} + 3 a^{2} + 4 a - 1\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -10566 a^{4} + 8933 a^{3} + 43749 a^{2} - 22250 a - 38813\) , \( 848205 a^{4} - 616448 a^{3} - 3613623 a^{2} + 1606180 a + 3073152\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
