Isogeny class 64.1-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 64.1-a1
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 1742 a^{2} - 971 a - 3929\) , \( 42399 a^{2} - 23535 a - 95292\bigr] \)
|
| 64.1-a2
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 72 a^{2} + 4 a - 264\) , \( 500 a^{2} - 16 a - 1624\bigr] \)
|
| 64.1-a3
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 102 a^{2} - 61 a - 244\) , \( 640 a^{2} - 360 a - 1460\bigr] \)
|
| 64.1-a4
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 17 a^{2} - 131 a - 199\) , \( -6 a^{2} - 855 a - 1073\bigr] \)
|
| 64.1-a5
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 22 a^{2} - 11 a - 49\) , \( 55 a^{2} - 31 a - 124\bigr] \)
|
| 64.1-a6
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 17 a^{2} - 11 a - 39\) , \( -46 a^{2} + 25 a + 103\bigr] \)
|
| 64.1-a7
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a^{2} - a - 4\) , \( 0\bigr] \)
|
| 64.1-a8
| \( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a^{2} + 4 a + 16\) , \( 4 a^{2} - 8\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 2 & 4 & 3 & 12 & 6 & 12 \\
4 & 1 & 2 & 4 & 12 & 12 & 6 & 3 \\
2 & 2 & 1 & 2 & 6 & 6 & 3 & 6 \\
4 & 4 & 2 & 1 & 12 & 3 & 6 & 12 \\
3 & 12 & 6 & 12 & 1 & 4 & 2 & 4 \\
12 & 12 & 6 & 3 & 4 & 1 & 2 & 4 \\
6 & 6 & 3 & 6 & 2 & 2 & 1 & 2 \\
12 & 3 & 6 & 12 & 4 & 4 & 2 & 1
\end{array}\right)\)
