Elliptic curves in class 40401.6-a over \(\Q(\sqrt{-11}) \)
Isogeny class 40401.6-a contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 40401.6-a1
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 193 a - 221\) , \( 1590 a - 94\bigr] \)
|
| 40401.6-a2
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 204 a - 159\) , \( -1404 a - 864\bigr] \)
|
| 40401.6-a3
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -2 a - 36\) , \( 52 a + 99\bigr] \)
|
| 40401.6-a4
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 214 a - 744\) , \( 1395 a - 9735\bigr] \)
|
| 40401.6-a5
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 9 a + 26\) , \( -77 a + 64\bigr] \)
|
| 40401.6-a6
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 378 a + 179\) , \( 2553 a - 9295\bigr] \)
|
| 40401.6-a7
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 3314 a - 2534\) , \( -83871 a - 44865\bigr] \)
|
| 40401.6-a8
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 3128 a - 3581\) , \( 95319 a - 8905\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 2 & 10 & 10 & 2 & 10 & 2 \\
5 & 1 & 10 & 2 & 2 & 10 & 2 & 10 \\
2 & 10 & 1 & 20 & 5 & 4 & 20 & 4 \\
10 & 2 & 20 & 1 & 4 & 20 & 4 & 5 \\
10 & 2 & 5 & 4 & 1 & 20 & 4 & 20 \\
2 & 10 & 4 & 20 & 20 & 1 & 5 & 4 \\
10 & 2 & 20 & 4 & 4 & 5 & 1 & 20 \\
2 & 10 & 4 & 5 & 20 & 4 & 20 & 1
\end{array}\right)\)
