Elliptic curves in class 9.5-a over 4.4.11661.1
Isogeny class 9.5-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.5-a1
| \( \bigl[a^{2} - 2\) , \( a^{3} - 2 a^{2} - 4 a + 4\) , \( a\) , \( -5 a^{3} + 18 a^{2} - 13 a - 1\) , \( 24 a^{3} - 86 a^{2} + 43 a + 45\bigr] \)
|
| 9.5-a2
| \( \bigl[a^{2} - 2\) , \( a^{3} - 2 a^{2} - 4 a + 4\) , \( a\) , \( 35 a^{3} - 132 a^{2} + 77 a + 64\) , \( 261 a^{3} - 948 a^{2} + 504 a + 479\bigr] \)
|
| 9.5-a3
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( 0\) , \( -4 a - 8\) , \( 8 a^{3} - 11 a^{2} - 41 a - 1\bigr] \)
|
| 9.5-a4
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( 0\) , \( a + 2\) , \( 0\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
