Elliptic curves in class 9.2-a over 5.5.160801.1
Isogeny class 9.2-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.2-a1
| \( \bigl[a^{4} - a^{3} - 4 a^{2} + 4 a\) , \( a^{3} + a^{2} - 5 a - 1\) , \( a^{4} - 4 a^{2} + 1\) , \( -29 a^{4} + 22 a^{3} + 149 a^{2} - 81 a - 97\) , \( -92 a^{4} + 68 a^{3} + 476 a^{2} - 245 a - 333\bigr] \)
|
| 9.2-a2
| \( \bigl[2 a^{4} - a^{3} - 10 a^{2} + 5 a + 4\) , \( -a^{3} - a^{2} + 3 a + 3\) , \( 0\) , \( 7 a^{4} - 7 a^{3} - 35 a^{2} + 21 a + 30\) , \( 10 a^{4} - 7 a^{3} - 48 a^{2} + 24 a + 35\bigr] \)
|
| 9.2-a3
| \( \bigl[2 a^{4} - a^{3} - 10 a^{2} + 4 a + 5\) , \( -a^{3} + 4 a + 1\) , \( 0\) , \( -24 a^{4} + 12 a^{3} + 124 a^{2} - 36 a - 84\) , \( -220 a^{4} + 139 a^{3} + 1128 a^{2} - 468 a - 735\bigr] \)
|
| 9.2-a4
| \( \bigl[2 a^{4} - a^{3} - 10 a^{2} + 5 a + 4\) , \( -a^{3} - a^{2} + 3 a + 3\) , \( 0\) , \( -8 a^{4} - 7 a^{3} + 30 a^{2} + 6 a - 15\) , \( -10 a^{4} + 64 a^{3} + 139 a^{2} - 137 a - 133\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 2 & 6 \\
3 & 1 & 6 & 2 \\
2 & 6 & 1 & 3 \\
6 & 2 & 3 & 1
\end{array}\right)\)
