Elliptic curves in class 20808.4-c over \(\Q(\sqrt{-2}) \)
Isogeny class 20808.4-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 20808.4-c1
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -46 a + 4\) , \( -808 a - 1016\bigr] \)
|
| 20808.4-c2
| \( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a\) , \( -10 a - 17\bigr] \)
|
| 20808.4-c3
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 14 a - 1\) , \( 6 a + 24\bigr] \)
|
| 20808.4-c4
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 74 a - 6\) , \( -244 a - 196\bigr] \)
|
| 20808.4-c5
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -936 a + 1764\) , \( -15876 a - 34344\bigr] \)
|
| 20808.4-c6
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1076 a - 1596\) , \( -24556 a - 16088\bigr] \)
|
| 20808.4-c7
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 194 a - 16\) , \( 852 a + 1254\bigr] \)
|
| 20808.4-c8
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 1154 a - 96\) , \( -14320 a - 15496\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 2 & 2 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 16 & 16 & 4 & 8 \\
4 & 2 & 1 & 2 & 8 & 8 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 4 & 4 & 2 \\
2 & 16 & 8 & 4 & 1 & 4 & 16 & 8 \\
2 & 16 & 8 & 4 & 4 & 1 & 16 & 8 \\
8 & 4 & 2 & 4 & 16 & 16 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 8 & 8 & 1
\end{array}\right)\)
