Elliptic curves in class 28322.1-a over \(\Q(\sqrt{-2}) \)
Isogeny class 28322.1-a contains
6 curves linked by isogenies of
degrees dividing 18.
Curve label |
Weierstrass Coefficients |
28322.1-a1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 2045 a - 170\) , \( 33202 a + 39319\bigr] \)
|
28322.1-a2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 5 a\) , \( -10 a - 11\bigr] \)
|
28322.1-a3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -55 a + 5\) , \( 218 a + 259\bigr] \)
|
28322.1-a4
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 425 a - 35\) , \( 2650 a + 3139\bigr] \)
|
28322.1-a5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 125 a - 10\) , \( -466 a - 551\bigr] \)
|
28322.1-a6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 32765 a - 2730\) , \( 2095538 a + 2481559\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 9 & 3 & 6 & 18 & 2 \\
9 & 1 & 3 & 6 & 2 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 \\
18 & 2 & 6 & 3 & 1 & 9 \\
2 & 18 & 6 & 3 & 9 & 1
\end{array}\right)\)