Elliptic curves in class 81.1-b over \(\Q(\sqrt{65}) \)
Isogeny class 81.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 81.1-b1
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -105705 a - 373248\) , \( 46089086 a + 162746508\bigr] \)
|
| 81.1-b2
| \( \bigl[1\) , \( -1\) , \( 1\) , \( 197367 a + 696928\) , \( 150097888 a + 530014986\bigr] \)
|
| 81.1-b3
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -7425 a - 26208\) , \( 563828 a + 1990956\bigr] \)
|
| 81.1-b4
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -2319 a - 8189\) , \( -113648 a - 401306\bigr] \)
|
| 81.1-b5
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -112230 a - 396288\) , \( 41102447 a + 145138044\bigr] \)
|
| 81.1-b6
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1795635 a - 6340608\) , \( 2629919444 a + 9286584492\bigr] \)
|
Rank: \( 2 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
