Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 246.2-a over \(\Q(\sqrt{-2}) \)
Isogeny class 246.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
246.2-a1 | \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -3 a\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)