Base field \(\Q(\sqrt{2}, \sqrt{3})\)
Generator \(a\), with minimal polynomial \( x^{4} - 4 x^{2} + 1 \); class number \(1\).
Elliptic curves in class 47.2-a over \(\Q(\sqrt{2}, \sqrt{3})\)
Isogeny class 47.2-a contains 4 curves linked by isogenies of degrees dividing 4.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)