Elliptic curves in class 196.1-g over \(\Q(\sqrt{65}) \)
Isogeny class 196.1-g contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 196.1-g1
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -22091 a - 78090\) , \( -21183610 a - 74802455\bigr] \)
|
| 196.1-g2
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 17247 a + 60896\) , \( 279549 a + 987132\bigr] \)
|
| 196.1-g3
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -4331 a - 15290\) , \( 36406 a + 128553\bigr] \)
|
| 196.1-g4
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -45291 a - 159930\) , \( -10411722 a - 36765143\bigr] \)
|
| 196.1-g5
| \( \bigl[a\) , \( a\) , \( a\) , \( -297 a - 635\) , \( 3439 a + 12390\bigr] \)
|
| 196.1-g6
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -723851 a - 2556010\) , \( -671781146 a - 2372145815\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
