Isogeny class 320.1-f contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
320.1-f1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} + a^{2} - 2 a - 2\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -22 a^{3} - 28 a^{2} + 43 a + 21\) , \( 58 a^{3} + 72 a^{2} - 104 a - 70\bigr] \)
|
320.1-f2
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{2} - a - 4\) , \( a^{2} + a - 3\) , \( 24 a^{3} - 17 a^{2} - 56 a - 3\) , \( -35 a^{3} + 124 a^{2} + 7 a - 221\bigr] \)
|
320.1-f3
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{2} - a - 4\) , \( a^{2} + a - 3\) , \( 4 a^{3} - 2 a^{2} - 11 a - 3\) , \( -2 a^{3} - 12 a^{2} + 14 a + 29\bigr] \)
|
320.1-f4
| \( \bigl[0\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 0\) , \( -2 a^{3} + 3 a^{2} + 4 a - 5\) , \( 3 a^{3} - 5 a^{2} - 6 a + 9\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)