Isogeny class 64.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 64.1-a1
| \( \bigl[a^{2} + a - 3\) , \( a^{2} - 4\) , \( a^{3} - 2 a + 1\) , \( 4 a^{3} + 5 a^{2} - 9 a - 9\) , \( 2 a^{2} + 7 a + 5\bigr] \)
|
| 64.1-a2
| \( \bigl[a^{2} + a - 3\) , \( -a^{2} + a + 2\) , \( a^{2} + a - 3\) , \( -15 a^{3} + 12 a^{2} + 50 a - 50\) , \( -1451 a^{3} + 1696 a^{2} + 5243 a - 6150\bigr] \)
|
| 64.1-a3
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} + a^{2} - 4 a - 3\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 5 a^{3} - 12 a^{2} - 2 a + 10\) , \( 890 a^{3} - 1696 a^{2} - 1220 a + 2330\bigr] \)
|
| 64.1-a4
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} - a + 4\) , \( a^{2} + a - 3\) , \( 4 a^{3} - 10 a^{2} - 18 a + 31\) , \( 11 a^{3} - 11 a^{2} - 38 a + 43\bigr] \)
|
| 64.1-a5
| \( \bigl[0\) , \( a^{2} - 3\) , \( 0\) , \( -a^{2} + 2\) , \( 0\bigr] \)
|
| 64.1-a6
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 3 a - 3\) , \( 0\) , \( 12 a^{3} + 13 a^{2} - 39 a - 44\) , \( 20 a^{3} + 22 a^{2} - 69 a - 79\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 8 & 4 & 2 & 4 \\
8 & 1 & 4 & 8 & 4 & 2 \\
8 & 4 & 1 & 8 & 4 & 2 \\
4 & 8 & 8 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 2 & 2 & 4 & 2 & 1
\end{array}\right)\)
