Elliptic curves in class 9.1-b over 4.4.14272.1
Isogeny class 9.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.1-b1
| \( \bigl[a^{3} - 2 a^{2} - 4 a + 1\) , \( a^{3} - 2 a^{2} - 5 a + 2\) , \( a + 1\) , \( 3 a^{3} - a^{2} - 10 a - 2\) , \( -17 a^{3} - 14 a^{2} + 12 a - 4\bigr] \)
|
| 9.1-b2
| \( \bigl[a^{3} - 2 a^{2} - 4 a + 1\) , \( a^{3} - 2 a^{2} - 4 a + 2\) , \( a^{3} - 3 a^{2} - 2 a + 4\) , \( 2 a^{3} - 4 a^{2} - 8 a + 1\) , \( a^{3} - 2 a^{2} - 4 a\bigr] \)
|
| 9.1-b3
| \( \bigl[a^{3} - 3 a^{2} - a + 4\) , \( -a^{3} + 3 a^{2} + a - 4\) , \( a^{3} - 3 a^{2} - 2 a + 3\) , \( -3 a^{3} + 9 a^{2} + 5 a - 9\) , \( -2 a^{3} + 7 a^{2} + 2 a - 6\bigr] \)
|
| 9.1-b4
| \( \bigl[2 a^{3} - 5 a^{2} - 5 a + 5\) , \( 2 a^{3} - 5 a^{2} - 6 a + 5\) , \( 2 a^{3} - 5 a^{2} - 6 a + 5\) , \( 68 a^{3} - 230 a^{2} - 13 a + 145\) , \( 568 a^{3} - 1968 a^{2} + 37 a + 1132\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 3 & 2 \\
6 & 1 & 2 & 3 \\
3 & 2 & 1 & 6 \\
2 & 3 & 6 & 1
\end{array}\right)\)
