Elliptic curves in class 8649.6-c over \(\Q(\sqrt{-11}) \)
Isogeny class 8649.6-c contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 8649.6-c1
| \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -83 a + 122\) , \( -46 a + 770\bigr] \)
|
| 8649.6-c2
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -71 a + 143\) , \( -181 a - 668\bigr] \)
|
| 8649.6-c3
| \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -8 a - 8\) , \( 24 a + 8\bigr] \)
|
| 8649.6-c4
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 4 a + 13\) , \( 14 a - 45\bigr] \)
|
| 8649.6-c5
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -201 a + 48\) , \( -1812 a + 1134\bigr] \)
|
| 8649.6-c6
| \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -28 a + 347\) , \( -1860 a + 1736\bigr] \)
|
| 8649.6-c7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -1141 a + 2318\) , \( -10210 a - 42482\bigr] \)
|
| 8649.6-c8
| \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -1338 a + 1977\) , \( -332 a + 49572\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 2 & 10 & 10 & 2 & 10 & 2 \\
5 & 1 & 10 & 2 & 2 & 10 & 2 & 10 \\
2 & 10 & 1 & 5 & 20 & 4 & 20 & 4 \\
10 & 2 & 5 & 1 & 4 & 20 & 4 & 20 \\
10 & 2 & 20 & 4 & 1 & 20 & 4 & 5 \\
2 & 10 & 4 & 20 & 20 & 1 & 5 & 4 \\
10 & 2 & 20 & 4 & 4 & 5 & 1 & 20 \\
2 & 10 & 4 & 20 & 5 & 4 & 20 & 1
\end{array}\right)\)
