Elliptic curves in class 1.1-a over 4.4.2624.1
Isogeny class 1.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 1.1-a1
| \( \bigl[a^{3} - 2 a^{2} - 2 a + 1\) , \( a^{3} - 2 a^{2} - 3 a\) , \( a + 1\) , \( -16 a^{3} + 36 a^{2} + 39 a - 49\) , \( -57 a^{3} + 134 a^{2} + 126 a - 168\bigr] \)
|
| 1.1-a2
| \( \bigl[a^{3} - 2 a^{2} - 2 a + 1\) , \( a^{3} - 2 a^{2} - 3 a\) , \( a + 1\) , \( -a^{3} + a^{2} + 4 a + 1\) , \( -a - 1\bigr] \)
|
| 1.1-a3
| \( \bigl[a^{3} - 2 a^{2} - 2 a + 1\) , \( a + 1\) , \( a\) , \( -5 a^{2} - 4 a - 4\) , \( -4 a^{3} - 17 a^{2} - 10 a - 6\bigr] \)
|
| 1.1-a4
| \( \bigl[a^{3} - 2 a^{2} - 2 a + 1\) , \( a + 1\) , \( a\) , \( a + 1\) , \( 0\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 2 & 6 \\
3 & 1 & 6 & 2 \\
2 & 6 & 1 & 3 \\
6 & 2 & 3 & 1
\end{array}\right)\)
