Elliptic curves in class 1152.7-a over \(\Q(\sqrt{-7}) \)
Isogeny class 1152.7-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 1152.7-a1
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 2 a - 2\) , \( -4 a - 36\bigr] \)
|
| 1152.7-a2
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -13 a - 10\) , \( -23 a + 10\bigr] \)
|
| 1152.7-a3
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 5 a + 16\) , \( 21 a - 26\bigr] \)
|
| 1152.7-a4
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -98 a + 138\) , \( -24 a - 776\bigr] \)
|
| 1152.7-a5
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 34 a - 22\) , \( -64 a - 32\bigr] \)
|
| 1152.7-a6
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 18 a - 50\) , \( 44 a - 148\bigr] \)
|
| 1152.7-a7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 544 a - 352\) , \( -4498 a - 2042\bigr] \)
|
| 1152.7-a8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 258 a - 770\) , \( 3548 a - 7972\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 4 & 2 & 2 & 2 & 4 & 4 \\
4 & 1 & 16 & 8 & 8 & 2 & 16 & 4 \\
4 & 16 & 1 & 8 & 2 & 8 & 4 & 16 \\
2 & 8 & 8 & 1 & 4 & 4 & 8 & 8 \\
2 & 8 & 2 & 4 & 1 & 4 & 2 & 8 \\
2 & 2 & 8 & 4 & 4 & 1 & 8 & 2 \\
4 & 16 & 4 & 8 & 2 & 8 & 1 & 16 \\
4 & 4 & 16 & 8 & 8 & 2 & 16 & 1
\end{array}\right)\)
