Elliptic curves in class 27648.2-bb over \(\Q(\sqrt{-2}) \)
Isogeny class 27648.2-bb contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 27648.2-bb1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -62 a + 31\) , \( -1737 a - 751\bigr] \)
|
| 27648.2-bb2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a + 1\) , \( 3 a - 1\bigr] \)
|
| 27648.2-bb3
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 18 a - 9\) , \( 23 a + 25\bigr] \)
|
| 27648.2-bb4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 98 a - 49\) , \( -457 a - 95\bigr] \)
|
| 27648.2-bb5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -782 a + 2911\) , \( -40761 a - 36463\bigr] \)
|
| 27648.2-bb6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -1902 a - 1569\) , \( -45913 a - 623\bigr] \)
|
| 27648.2-bb7
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 258 a - 129\) , \( 1943 a + 1009\bigr] \)
|
| 27648.2-bb8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1538 a - 769\) , \( -29257 a - 10319\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 2 & 2 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 16 & 16 & 4 & 8 \\
4 & 2 & 1 & 2 & 8 & 8 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 4 & 4 & 2 \\
2 & 16 & 8 & 4 & 1 & 4 & 16 & 8 \\
2 & 16 & 8 & 4 & 4 & 1 & 16 & 8 \\
8 & 4 & 2 & 4 & 16 & 16 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 8 & 8 & 1
\end{array}\right)\)
