Elliptic curves in class 81.1-a over \(\Q(\sqrt{7}) \)
Isogeny class 81.1-a contains
8 curves linked by isogenies of
degrees dividing 28.
| Curve label |
Weierstrass Coefficients |
| 81.1-a1
| \( \bigl[a\) , \( -1\) , \( 0\) , \( -135 a - 357\) , \( 1674 a + 4429\bigr] \)
|
| 81.1-a2
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -135 a - 357\) , \( -1674 a - 4429\bigr] \)
|
| 81.1-a3
| \( \bigl[a\) , \( -1\) , \( 0\) , \( -2430 a - 6432\) , \( 84591 a + 223804\bigr] \)
|
| 81.1-a4
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -2430 a - 6432\) , \( -84591 a - 223804\bigr] \)
|
| 81.1-a5
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -2295 a - 6072\) , \( -96768 a - 256024\bigr] \)
|
| 81.1-a6
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 2295 a - 6072\) , \( 96768 a - 256024\bigr] \)
|
| 81.1-a7
| \( \bigl[a\) , \( -1\) , \( 0\) , \( 2430 a - 6432\) , \( -84591 a + 223804\bigr] \)
|
| 81.1-a8
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 2430 a - 6432\) , \( 84591 a - 223804\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 7 & 4 & 28 & 14 & 2 & 28 & 4 \\
7 & 1 & 28 & 4 & 2 & 14 & 4 & 28 \\
4 & 28 & 1 & 28 & 14 & 2 & 7 & 4 \\
28 & 4 & 28 & 1 & 2 & 14 & 4 & 7 \\
14 & 2 & 14 & 2 & 1 & 7 & 2 & 14 \\
2 & 14 & 2 & 14 & 7 & 1 & 14 & 2 \\
28 & 4 & 7 & 4 & 2 & 14 & 1 & 28 \\
4 & 28 & 4 & 7 & 14 & 2 & 28 & 1
\end{array}\right)\)
