Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 41616.5-f over \(\Q(\sqrt{-2}) \)
Isogeny class 41616.5-f contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
41616.5-f1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -237\) , \( -1329\bigr] \) |
41616.5-f2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( -9\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)