Elliptic curves in class 4032.7-c over \(\Q(\sqrt{-7}) \)
Isogeny class 4032.7-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 4032.7-c1
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 170 a - 238\) , \( 3689 a - 2387\bigr] \)
|
| 4032.7-c2
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -5 a + 7\) , \( 0\bigr] \)
|
| 4032.7-c3
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 20 a - 28\) , \( 17 a - 11\bigr] \)
|
| 4032.7-c4
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 195 a - 273\) , \( -1530 a + 990\bigr] \)
|
| 4032.7-c5
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 6 a + 18\) , \( 21 a - 39\bigr] \)
|
| 4032.7-c6
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -13 a - 10\) , \( 16 a + 13\bigr] \)
|
| 4032.7-c7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 245 a - 343\) , \( 2312 a - 1496\bigr] \)
|
| 4032.7-c8
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 3920 a - 5488\) , \( 144755 a - 93665\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 8 & 16 & 16 & 2 & 4 \\
8 & 1 & 2 & 4 & 2 & 2 & 4 & 8 \\
4 & 2 & 1 & 2 & 4 & 4 & 2 & 4 \\
8 & 4 & 2 & 1 & 8 & 8 & 4 & 8 \\
16 & 2 & 4 & 8 & 1 & 4 & 8 & 16 \\
16 & 2 & 4 & 8 & 4 & 1 & 8 & 16 \\
2 & 4 & 2 & 4 & 8 & 8 & 1 & 2 \\
4 & 8 & 4 & 8 & 16 & 16 & 2 & 1
\end{array}\right)\)
