Elliptic curves in class 1.1-a over 4.4.16317.1
Isogeny class 1.1-a contains
4 curves linked by isogenies of
degrees dividing 14.
Curve label |
Weierstrass Coefficients |
1.1-a1
| \( \bigl[a^{3} - 4 a - 2\) , \( a^{3} - 2 a^{2} - 2 a + 5\) , \( 0\) , \( 10 a^{3} - a^{2} - 29 a + 5\) , \( 12 a^{3} + 8 a^{2} - 22 a + 1\bigr] \)
|
1.1-a2
| \( \bigl[a^{3} - 4 a - 2\) , \( a^{3} - 2 a^{2} - 2 a + 5\) , \( 0\) , \( 5 a^{3} + 4 a^{2} - 4 a + 10\) , \( 13 a^{3} + 10 a^{2} - 20 a + 3\bigr] \)
|
1.1-a3
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -6 a^{3} + 10 a^{2} + 24 a - 31\) , \( 16 a^{3} - 36 a^{2} - 61 a + 95\bigr] \)
|
1.1-a4
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + 4 a - 1\) , \( -a^{2} + 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 7 & 14 \\
2 & 1 & 14 & 7 \\
7 & 14 & 1 & 2 \\
14 & 7 & 2 & 1
\end{array}\right)\)