Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 16562.1-e over \(\Q(\sqrt{-2}) \)
Isogeny class 16562.1-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16562.1-e1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( 3\) , \( -5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)