Elliptic curves in class 26136.6-i over \(\Q(\sqrt{-2}) \)
Isogeny class 26136.6-i contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
26136.6-i1
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 78 a + 66\) , \( -2936 a - 46\bigr] \)
|
26136.6-i2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 14 a + 11\) , \( -43 a + 4\bigr] \)
|
26136.6-i3
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -22 a - 19\) , \( 46 a - 16\bigr] \)
|
26136.6-i4
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -122 a - 104\) , \( -724 a - 126\bigr] \)
|
26136.6-i5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 2868 a - 1374\) , \( -71480 a - 30430\bigr] \)
|
26136.6-i6
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 488 a + 4226\) , \( -74840 a + 27698\bigr] \)
|
26136.6-i7
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -322 a - 274\) , \( 3364 a - 136\bigr] \)
|
26136.6-i8
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -1922 a - 1634\) , \( -48352 a - 3366\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 2 & 2 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 16 & 16 & 4 & 8 \\
4 & 2 & 1 & 2 & 8 & 8 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 4 & 4 & 2 \\
2 & 16 & 8 & 4 & 1 & 4 & 16 & 8 \\
2 & 16 & 8 & 4 & 4 & 1 & 16 & 8 \\
8 & 4 & 2 & 4 & 16 & 16 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 8 & 8 & 1
\end{array}\right)\)