Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 100.1-h over \(\Q(\sqrt{65}) \)
Isogeny class 100.1-h contains 4 curves linked by isogenies of degrees dividing 15.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 15 & 3 & 5 \\ 15 & 1 & 5 & 3 \\ 3 & 5 & 1 & 15 \\ 5 & 3 & 15 & 1 \end{array}\right)\)