Elliptic curves in class 9.1-a over 4.4.17069.1
Isogeny class 9.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.1-a1
| \( \bigl[a^{3} - a^{2} - 7 a - 3\) , \( -a^{3} + a^{2} + 7 a + 5\) , \( a^{3} - a^{2} - 6 a - 3\) , \( -6 a^{3} - a^{2} + 58 a + 55\) , \( -22 a^{3} + 24 a^{2} + 154 a + 105\bigr] \)
|
| 9.1-a2
| \( \bigl[a^{3} - a^{2} - 7 a - 3\) , \( -a^{3} + a^{2} + 7 a + 5\) , \( a^{3} - a^{2} - 6 a - 3\) , \( 44 a^{3} - 136 a^{2} - 112 a + 140\) , \( -340 a^{3} + 890 a^{2} + 1215 a - 470\bigr] \)
|
| 9.1-a3
| \( \bigl[a^{3} - 2 a^{2} - 5 a\) , \( a^{3} - 2 a^{2} - 6 a - 1\) , \( 0\) , \( 20 a^{3} - 44 a^{2} - 108 a + 44\) , \( 37 a^{3} - 83 a^{2} - 190 a + 103\bigr] \)
|
| 9.1-a4
| \( \bigl[1\) , \( -a + 1\) , \( a^{3} - a^{2} - 7 a - 4\) , \( 4 a^{3} - 2 a^{2} - 34 a - 30\) , \( -20 a^{3} + 12 a^{2} + 164 a + 146\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
