Elliptic curves in class 16875.8-f over \(\Q(\sqrt{-11}) \)
Isogeny class 16875.8-f contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 16875.8-f1
| \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -70 a - 281\) , \( 892 a + 1655\bigr] \)
|
| 16875.8-f2
| \( \bigl[a\) , \( a\) , \( 1\) , \( 202 a - 117\) , \( -1080 a - 1303\bigr] \)
|
| 16875.8-f3
| \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -195 a + 94\) , \( -108 a + 6905\bigr] \)
|
| 16875.8-f4
| \( \bigl[a\) , \( a\) , \( 1\) , \( 77 a + 258\) , \( -4080 a + 947\bigr] \)
|
| 16875.8-f5
| \( \bigl[a\) , \( a\) , \( 1\) , \( -2173 a - 867\) , \( -58080 a + 41447\bigr] \)
|
| 16875.8-f6
| \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 1930 a + 1594\) , \( -18108 a + 101405\bigr] \)
|
| 16875.8-f7
| \( \bigl[a\) , \( a\) , \( 1\) , \( 327 a + 7383\) , \( -148580 a + 101447\bigr] \)
|
| 16875.8-f8
| \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -4320 a + 4594\) , \( -43608 a + 258905\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 2 & 6 & 12 & 4 & 12 & 4 \\
3 & 1 & 6 & 2 & 4 & 12 & 4 & 12 \\
2 & 6 & 1 & 3 & 6 & 2 & 6 & 2 \\
6 & 2 & 3 & 1 & 2 & 6 & 2 & 6 \\
12 & 4 & 6 & 2 & 1 & 12 & 4 & 3 \\
4 & 12 & 2 & 6 & 12 & 1 & 3 & 4 \\
12 & 4 & 6 & 2 & 4 & 3 & 1 & 12 \\
4 & 12 & 2 & 6 & 3 & 4 & 12 & 1
\end{array}\right)\)
