Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 242.1-a over \(\Q(\sqrt{-7}) \)
Isogeny class 242.1-a contains 4 curves linked by isogenies of degrees dividing 22.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 11 & 22 & 2 \\ 11 & 1 & 2 & 22 \\ 22 & 2 & 1 & 11 \\ 2 & 22 & 11 & 1 \end{array}\right)\)