Elliptic curves in class 8064.7-b over \(\Q(\sqrt{-7}) \)
Isogeny class 8064.7-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 8064.7-b1
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 38 a - 78\) , \( -196 a + 252\bigr] \)
|
| 8064.7-b2
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 55 a - 54\) , \( -203 a - 26\bigr] \)
|
| 8064.7-b3
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 22 a - 30\) , \( -116 a + 44\bigr] \)
|
| 8064.7-b4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -1928 a + 2700\) , \( -19010 a + 15206\bigr] \)
|
| 8064.7-b5
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 522 a - 730\) , \( -2448 a + 800\bigr] \)
|
| 8064.7-b6
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 4572 a - 6400\) , \( 179154 a - 122806\bigr] \)
|
| 8064.7-b7
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 422 a - 590\) , \( -5028 a + 2620\bigr] \)
|
| 8064.7-b8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 6722 a - 9410\) , \( -322296 a + 198424\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 2 & 16 & 8 & 16 & 4 & 8 \\
4 & 1 & 2 & 16 & 8 & 16 & 4 & 8 \\
2 & 2 & 1 & 8 & 4 & 8 & 2 & 4 \\
16 & 16 & 8 & 1 & 2 & 4 & 4 & 8 \\
8 & 8 & 4 & 2 & 1 & 2 & 2 & 4 \\
16 & 16 & 8 & 4 & 2 & 1 & 4 & 8 \\
4 & 4 & 2 & 4 & 2 & 4 & 1 & 2 \\
8 & 8 & 4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
