Isogeny class 320.1-e contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
320.1-e1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - a^{2} - 2 a + 3\) , \( a^{3} - 2 a + 1\) , \( 25 a^{3} - 31 a^{2} - 52 a + 28\) , \( 81 a^{3} - 101 a^{2} - 150 a + 91\bigr] \)
|
320.1-e2
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} - a + 2\) , \( a^{2} + a - 3\) , \( -4 a^{3} - 2 a^{2} + 9 a - 3\) , \( -2 a^{3} + 12 a^{2} + 14 a - 31\bigr] \)
|
320.1-e3
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} - a + 2\) , \( a^{2} + a - 3\) , \( -24 a^{3} - 17 a^{2} + 54 a - 3\) , \( -35 a^{3} - 124 a^{2} + 7 a + 219\bigr] \)
|
320.1-e4
| \( \bigl[0\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 0\) , \( 2 a^{3} + 3 a^{2} - 4 a - 5\) , \( 3 a^{3} + 5 a^{2} - 6 a - 9\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)