Isogeny class 64.1-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 64.1-a1
| \( \bigl[0\) , \( a^{2} + a - 2\) , \( 0\) , \( 2208 a^{2} - 763 a - 6361\) , \( 63330 a^{2} - 21998 a - 182343\bigr] \)
|
| 64.1-a2
| \( \bigl[0\) , \( a^{2} + a - 2\) , \( 0\) , \( 613 a^{2} - 213 a - 1761\) , \( -8999 a^{2} + 3128 a + 25908\bigr] \)
|
| 64.1-a3
| \( \bigl[0\) , \( a^{2} + a - 2\) , \( 0\) , \( 143 a^{2} - 48 a - 411\) , \( 825 a^{2} - 286 a - 2375\bigr] \)
|
| 64.1-a4
| \( \bigl[0\) , \( a^{2} + a - 2\) , \( 0\) , \( -247 a^{2} + 97 a + 694\) , \( 5202 a^{2} - 1787 a - 15014\bigr] \)
|
| 64.1-a5
| \( \bigl[0\) , \( -a^{2} + a + 3\) , \( 0\) , \( 32 a^{2} - 24 a - 112\) , \( -116 a^{2} + 44 a + 340\bigr] \)
|
| 64.1-a6
| \( \bigl[0\) , \( -a^{2} + a + 3\) , \( 0\) , \( -73 a^{2} - 139 a - 42\) , \( 639 a^{2} + 1206 a + 348\bigr] \)
|
| 64.1-a7
| \( \bigl[0\) , \( -a^{2} + a + 3\) , \( 0\) , \( -3 a^{2} - 9 a - 7\) , \( 8 a^{2} + 16 a + 6\bigr] \)
|
| 64.1-a8
| \( \bigl[0\) , \( -a^{2} + a + 3\) , \( 0\) , \( -3 a^{2} - 4 a - 7\) , \( 19 a^{2} + 23 a + 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 2 & 4 & 12 & 12 & 6 & 3 \\
4 & 1 & 2 & 4 & 3 & 12 & 6 & 12 \\
2 & 2 & 1 & 2 & 6 & 6 & 3 & 6 \\
4 & 4 & 2 & 1 & 12 & 3 & 6 & 12 \\
12 & 3 & 6 & 12 & 1 & 4 & 2 & 4 \\
12 & 12 & 6 & 3 & 4 & 1 & 2 & 4 \\
6 & 6 & 3 & 6 & 2 & 2 & 1 & 2 \\
3 & 12 & 6 & 12 & 4 & 4 & 2 & 1
\end{array}\right)\)
