Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 10.2-a over \(\Q(\sqrt{65}) \)
Isogeny class 10.2-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 10.2-a1 | \( \bigl[a\) , \( -a\) , \( a\) , \( 13 a - 80\) , \( 107 a - 512\bigr] \) |
| 10.2-a2 | \( \bigl[a\) , \( -a\) , \( a\) , \( -2 a\) , \( -a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
