Elliptic curves in class 23716.6-e over \(\Q(\sqrt{-7}) \)
Isogeny class 23716.6-e contains
12 curves linked by isogenies of
degrees dividing 36.
| Curve label |
Weierstrass Coefficients |
| 23716.6-e1
| \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 9550 a - 8356\) , \( 406356 a + 14472\bigr] \)
|
| 23716.6-e2
| \( \bigl[1\) , \( -a\) , \( 1\) , \( -414 a + 1420\) , \( 11079 a + 5250\bigr] \)
|
| 23716.6-e3
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -833 a - 329\) , \( 13391 a - 4613\bigr] \)
|
| 23716.6-e4
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -63 a + 56\) , \( -105 a + 420\bigr] \)
|
| 23716.6-e5
| \( \bigl[1\) , \( -a\) , \( 1\) , \( -64 a + 55\) , \( 103 a - 392\bigr] \)
|
| 23716.6-e6
| \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 30 a - 26\) , \( -148 a + 24\bigr] \)
|
| 23716.6-e7
| \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -250 a + 219\) , \( 2988 a - 179\bigr] \)
|
| 23716.6-e8
| \( \bigl[1\) , \( -a\) , \( 1\) , \( 706 a - 3795\) , \( 63187 a + 28686\bigr] \)
|
| 23716.6-e9
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 1967 a + 1456\) , \( 78169 a - 27202\bigr] \)
|
| 23716.6-e10
| \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 1990 a - 1741\) , \( 31212 a + 2229\bigr] \)
|
| 23716.6-e11
| \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 590 a - 516\) , \( -6420 a + 430\bigr] \)
|
| 23716.6-e12
| \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 152910 a - 133796\) , \( 26096468 a + 519816\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 6 & 6 & 18 & 18 & 9 & 3 & 2 & 2 & 6 & 18 & 2 \\
6 & 1 & 4 & 12 & 3 & 6 & 2 & 3 & 12 & 4 & 12 & 12 \\
6 & 4 & 1 & 3 & 12 & 6 & 2 & 12 & 3 & 4 & 12 & 12 \\
18 & 12 & 3 & 1 & 4 & 2 & 6 & 36 & 9 & 12 & 4 & 36 \\
18 & 3 & 12 & 4 & 1 & 2 & 6 & 9 & 36 & 12 & 4 & 36 \\
9 & 6 & 6 & 2 & 2 & 1 & 3 & 18 & 18 & 6 & 2 & 18 \\
3 & 2 & 2 & 6 & 6 & 3 & 1 & 6 & 6 & 2 & 6 & 6 \\
2 & 3 & 12 & 36 & 9 & 18 & 6 & 1 & 4 & 12 & 36 & 4 \\
2 & 12 & 3 & 9 & 36 & 18 & 6 & 4 & 1 & 12 & 36 & 4 \\
6 & 4 & 4 & 12 & 12 & 6 & 2 & 12 & 12 & 1 & 3 & 3 \\
18 & 12 & 12 & 4 & 4 & 2 & 6 & 36 & 36 & 3 & 1 & 9 \\
2 & 12 & 12 & 36 & 36 & 18 & 6 & 4 & 4 & 3 & 9 & 1
\end{array}\right)\)
