Elliptic curves in class 9.1-b over 5.5.36497.1
Isogeny class 9.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.1-b1
| \( \bigl[a + 1\) , \( a^{4} - a^{3} - 3 a^{2} + a - 1\) , \( 0\) , \( 2 a^{2} - a\) , \( 0\bigr] \)
|
| 9.1-b2
| \( \bigl[a^{4} - a^{3} - 4 a^{2} + 3 a + 2\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 7 a + 3\) , \( a^{4} - a^{3} - 4 a^{2} + 2 a + 2\) , \( 9 a^{4} + 38 a^{3} - 125 a^{2} - 29 a + 5\) , \( -52 a^{4} + 394 a^{3} - 503 a^{2} - 335 a + 53\bigr] \)
|
| 9.1-b3
| \( \bigl[a^{4} - a^{3} - 4 a^{2} + 3 a + 2\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 7 a + 3\) , \( a^{4} - a^{3} - 4 a^{2} + 2 a + 2\) , \( -11 a^{4} + 18 a^{3} + 35 a^{2} - 29 a - 20\) , \( -37 a^{4} + 72 a^{3} + 122 a^{2} - 163 a - 101\bigr] \)
|
| 9.1-b4
| \( \bigl[a + 1\) , \( a^{4} - a^{3} - 3 a^{2} + a - 1\) , \( 0\) , \( -8 a^{2} + 4 a\) , \( -14 a^{4} + 5 a^{3} + 40 a^{2} - 7 a - 4\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 6 & 3 & 2 \\
6 & 1 & 2 & 3 \\
3 & 2 & 1 & 6 \\
2 & 3 & 6 & 1
\end{array}\right)\)
