Elliptic curves in class 26136.4-d over \(\Q(\sqrt{-2}) \)
Isogeny class 26136.4-d contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
26136.4-d1
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 31 a - 121\) , \( -2488 a - 2074\bigr] \)
|
26136.4-d2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 21\) , \( -25 a - 14\bigr] \)
|
26136.4-d3
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -9 a + 34\) , \( 25 a + 31\bigr] \)
|
26136.4-d4
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -49 a + 189\) , \( -710 a - 524\bigr] \)
|
26136.4-d5
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -1499 a - 3721\) , \( -51754 a - 78790\bigr] \)
|
26136.4-d6
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 2841 a - 1481\) , \( -72614 a - 24638\bigr] \)
|
26136.4-d7
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -129 a + 499\) , \( 2692 a + 2356\bigr] \)
|
26136.4-d8
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -769 a + 2979\) , \( -43172 a - 34454\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 2 & 2 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 16 & 16 & 4 & 8 \\
4 & 2 & 1 & 2 & 8 & 8 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 4 & 4 & 2 \\
2 & 16 & 8 & 4 & 1 & 4 & 16 & 8 \\
2 & 16 & 8 & 4 & 4 & 1 & 16 & 8 \\
8 & 4 & 2 & 4 & 16 & 16 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 8 & 8 & 1
\end{array}\right)\)