Elliptic curves in class 41616.6-g over \(\Q(\sqrt{-2}) \)
Isogeny class 41616.6-g contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 41616.6-g1
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 48 a + 5\) , \( -855 a + 1013\bigr] \)
|
| 41616.6-g2
| \( \bigl[0\) , \( -a\) , \( 0\) , \( 8 a\) , \( -10 a + 17\bigr] \)
|
| 41616.6-g3
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -12 a\) , \( 19 a - 22\bigr] \)
|
| 41616.6-g4
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -72 a - 5\) , \( -171 a + 203\bigr] \)
|
| 41616.6-g5
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1078 a - 1595\) , \( -25633 a + 17685\bigr] \)
|
| 41616.6-g6
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 938 a + 1765\) , \( -16813 a + 32581\bigr] \)
|
| 41616.6-g7
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -192 a - 15\) , \( 1045 a - 1237\bigr] \)
|
| 41616.6-g8
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1152 a - 95\) , \( -13167 a + 15593\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 2 & 2 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 16 & 16 & 4 & 8 \\
4 & 2 & 1 & 2 & 8 & 8 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 4 & 4 & 2 \\
2 & 16 & 8 & 4 & 1 & 4 & 16 & 8 \\
2 & 16 & 8 & 4 & 4 & 1 & 16 & 8 \\
8 & 4 & 2 & 4 & 16 & 16 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 8 & 8 & 1
\end{array}\right)\)
