Elliptic curves in class 42592.18-f over \(\Q(\sqrt{-7}) \)
Isogeny class 42592.18-f contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 42592.18-f1
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 1419 a + 3140\) , \( -60410 a + 98640\bigr] \)
|
| 42592.18-f2
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -356 a + 1804\) , \( -48952 a + 27540\bigr] \)
|
| 42592.18-f3
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -469 a - 464\) , \( 7420 a - 788\bigr] \)
|
| 42592.18-f4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 4 a + 65\) , \( 61 a + 195\bigr] \)
|
| 42592.18-f5
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -71 a + 29\) , \( -142 a + 294\bigr] \)
|
| 42592.18-f6
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 764 a - 756\) , \( -9528 a - 620\bigr] \)
|
| 42592.18-f7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -24 a + 161\) , \( 487 a + 3\bigr] \)
|
| 42592.18-f8
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -1011 a + 449\) , \( -10902 a + 18942\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 4 & 3 & 6 & 2 & 12 & 12 \\
4 & 1 & 4 & 12 & 6 & 2 & 12 & 3 \\
4 & 4 & 1 & 12 & 6 & 2 & 3 & 12 \\
3 & 12 & 12 & 1 & 2 & 6 & 4 & 4 \\
6 & 6 & 6 & 2 & 1 & 3 & 2 & 2 \\
2 & 2 & 2 & 6 & 3 & 1 & 6 & 6 \\
12 & 12 & 3 & 4 & 2 & 6 & 1 & 4 \\
12 & 3 & 12 & 4 & 2 & 6 & 4 & 1
\end{array}\right)\)
