Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 41616.9-e over \(\Q(\sqrt{-2}) \)
Isogeny class 41616.9-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
41616.9-e1 | \( \bigl[a\) , \( -1\) , \( a\) , \( 13 a + 51\) , \( 143 a - 72\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)