Elliptic curves in class 7056.5-c over \(\Q(\sqrt{-7}) \)
Isogeny class 7056.5-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 7056.5-c1
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 714 a - 238\) , \( -13671 a - 19747\bigr] \)
|
| 7056.5-c2
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -21 a + 7\) , \( 0\bigr] \)
|
| 7056.5-c3
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 84 a - 28\) , \( -63 a - 91\bigr] \)
|
| 7056.5-c4
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 819 a - 273\) , \( 5670 a + 8190\bigr] \)
|
| 7056.5-c5
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -22 a + 82\) , \( -169 a - 61\bigr] \)
|
| 7056.5-c6
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -7 a - 74\) , \( -77 a - 197\bigr] \)
|
| 7056.5-c7
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 1029 a - 343\) , \( -8568 a - 12376\bigr] \)
|
| 7056.5-c8
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 16464 a - 5488\) , \( -536445 a - 774865\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 8 & 16 & 16 & 2 & 4 \\
8 & 1 & 2 & 4 & 2 & 2 & 4 & 8 \\
4 & 2 & 1 & 2 & 4 & 4 & 2 & 4 \\
8 & 4 & 2 & 1 & 8 & 8 & 4 & 8 \\
16 & 2 & 4 & 8 & 1 & 4 & 8 & 16 \\
16 & 2 & 4 & 8 & 4 & 1 & 8 & 16 \\
2 & 4 & 2 & 4 & 8 & 8 & 1 & 2 \\
4 & 8 & 4 & 8 & 16 & 16 & 2 & 1
\end{array}\right)\)
