Elliptic curves in class 9.5-b over 4.4.11661.1
Isogeny class 9.5-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.5-b1
| \( \bigl[a^{3} - 4 a - 2\) , \( a^{3} - a^{2} - 4 a\) , \( a^{3} - a^{2} - 4 a + 2\) , \( -19 a^{3} + 48 a^{2} + 72 a - 157\) , \( 132 a^{3} - 335 a^{2} - 316 a + 768\bigr] \)
|
| 9.5-b2
| \( \bigl[a^{3} - 4 a - 2\) , \( a^{3} - a^{2} - 4 a\) , \( a^{3} - a^{2} - 4 a + 2\) , \( a^{3} + 3 a^{2} - 3 a - 12\) , \( 3 a^{3} - 2 a^{2} - 7 a + 3\bigr] \)
|
| 9.5-b3
| \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{2} - 2 a - 3\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -2 a^{3} + 2 a^{2} + 4 a - 2\) , \( -4 a^{3} - a^{2} + 7 a + 2\bigr] \)
|
| 9.5-b4
| \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{2} - 2 a - 3\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -17 a^{3} - 13 a^{2} + 44 a + 18\) , \( -144 a^{3} - 90 a^{2} + 334 a + 162\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
