Isogeny class 91.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
91.1-a1
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -1030 a^{2} + 1620 a - 484\) , \( -21769 a^{2} + 41147 a - 14213\bigr] \)
|
91.1-a2
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( 15 a^{2} + 5 a - 89\) , \( -89 a^{2} - 20 a + 385\bigr] \)
|
91.1-a3
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -4\) , \( -3 a^{2} - a + 9\bigr] \)
|
91.1-a4
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -15 a^{2} - 5 a + 1\) , \( -49 a^{2} - 26 a + 29\bigr] \)
|
91.1-a5
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
91.1-a6
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -10 a^{2} - 20 a + 21\) , \( -90 a^{2} + 20 a + 26\bigr] \)
|
91.1-a7
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -260 a^{2} - 70 a + 61\) , \( -2872 a^{2} - 1452 a + 1192\bigr] \)
|
91.1-a8
| \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -3410 a^{2} - 2800 a + 1566\) , \( -163347 a^{2} - 131435 a + 88489\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 16 & 8 & 2 & 4 \\
16 & 1 & 2 & 4 & 4 & 8 & 8 & 16 \\
8 & 2 & 1 & 2 & 2 & 4 & 4 & 8 \\
4 & 4 & 2 & 1 & 4 & 2 & 2 & 4 \\
16 & 4 & 2 & 4 & 1 & 8 & 8 & 16 \\
8 & 8 & 4 & 2 & 8 & 1 & 4 & 8 \\
2 & 8 & 4 & 2 & 8 & 4 & 1 & 2 \\
4 & 16 & 8 & 4 & 16 & 8 & 2 & 1
\end{array}\right)\)