Isogeny class 529.15-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 529.15-a1
| \( \bigl[a^{2} - 1\) , \( -a^{4} + 5 a^{2} - a - 5\) , \( a^{3} - 3 a\) , \( -9701 a^{4} + 4825 a^{3} + 37011 a^{2} - 14694 a - 30397\) , \( 683650 a^{4} - 332513 a^{3} - 2681517 a^{2} + 978125 a + 2147146\bigr] \)
|
| 529.15-a2
| \( \bigl[a^{4} - 3 a^{2} + 1\) , \( -a^{3} + a^{2} + 2 a - 1\) , \( a^{4} - 3 a^{2} + a + 1\) , \( -41 a^{4} - 126 a^{3} - 86 a^{2} - 450 a - 792\) , \( 5064 a^{4} + 2872 a^{3} - 6769 a^{2} + 9962 a + 8997\bigr] \)
|
| 529.15-a3
| \( \bigl[a\) , \( -a^{4} + 4 a^{2} + a - 2\) , \( a + 1\) , \( 2 a^{4} + a^{3} - 26 a^{2} - 29 a + 8\) , \( -98 a^{4} - 35 a^{3} + 270 a^{2} + 62 a - 39\bigr] \)
|
| 529.15-a4
| \( \bigl[a\) , \( -a^{4} + 4 a^{2} + a - 2\) , \( a + 1\) , \( 2 a^{4} - 4 a^{3} - 6 a^{2} + 11 a - 2\) , \( -5 a^{4} + 4 a^{3} + 12 a^{2} - 13 a + 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
