Isogeny class 91.3-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 91.3-a1
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( 6211 a^{2} - 3408 a - 14264\) , \( 289529 a^{2} - 160546 a - 652959\bigr] \)
|
| 91.3-a2
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( 331 a^{2} - 258 a - 859\) , \( 3866 a^{2} - 2801 a - 9540\bigr] \)
|
| 91.3-a3
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( -589 a^{2} - 1028 a - 334\) , \( -21921 a^{2} - 23388 a + 4727\bigr] \)
|
| 91.3-a4
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( 21 a^{2} - 13 a - 54\) , \( 47 a^{2} - 43 a - 122\bigr] \)
|
| 91.3-a5
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( 31 a^{2} - 8 a - 49\) , \( 72 a^{2} - 69 a - 176\bigr] \)
|
| 91.3-a6
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( -19 a^{2} + 17 a - 34\) , \( 51 a^{2} - 93 a + 116\bigr] \)
|
| 91.3-a7
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( a^{2} + 2 a - 4\) , \( a^{2} - 2 a + 1\bigr] \)
|
| 91.3-a8
| \( \bigl[a^{2} + a - 1\) , \( a^{2} - 2\) , \( 1\) , \( a^{2} + 2 a + 1\) , \( 2 a^{2} + a - 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 4 & 8 & 16 & 8 & 16 \\
2 & 1 & 2 & 2 & 4 & 8 & 4 & 8 \\
4 & 2 & 1 & 4 & 8 & 16 & 8 & 16 \\
4 & 2 & 4 & 1 & 2 & 4 & 2 & 4 \\
8 & 4 & 8 & 2 & 1 & 8 & 4 & 8 \\
16 & 8 & 16 & 4 & 8 & 1 & 2 & 4 \\
8 & 4 & 8 & 2 & 4 & 2 & 1 & 2 \\
16 & 8 & 16 & 4 & 8 & 4 & 2 & 1
\end{array}\right)\)
