Elliptic curves in class 16875.13-f over \(\Q(\sqrt{-11}) \)
Isogeny class 16875.13-f contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 16875.13-f1
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -201 a + 84\) , \( 964 a - 1776\bigr] \)
|
| 16875.13-f2
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 72 a - 351\) , \( -821 a + 2196\bigr] \)
|
| 16875.13-f3
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -76 a + 334\) , \( 4339 a - 2901\bigr] \)
|
| 16875.13-f4
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 197 a - 101\) , \( 304 a + 6696\bigr] \)
|
| 16875.13-f5
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -1928 a + 3524\) , \( 16179 a + 86821\bigr] \)
|
| 16875.13-f6
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 2174 a - 3041\) , \( 57214 a - 23151\bigr] \)
|
| 16875.13-f7
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 4322 a + 274\) , \( 47929 a + 215571\bigr] \)
|
| 16875.13-f8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -326 a + 7709\) , \( 155964 a - 46151\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 2 & 6 & 12 & 4 & 12 & 4 \\
3 & 1 & 6 & 2 & 4 & 12 & 4 & 12 \\
2 & 6 & 1 & 3 & 6 & 2 & 6 & 2 \\
6 & 2 & 3 & 1 & 2 & 6 & 2 & 6 \\
12 & 4 & 6 & 2 & 1 & 12 & 4 & 3 \\
4 & 12 & 2 & 6 & 12 & 1 & 3 & 4 \\
12 & 4 & 6 & 2 & 4 & 3 & 1 & 12 \\
4 & 12 & 2 & 6 & 3 & 4 & 12 & 1
\end{array}\right)\)
