Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 516.2-a over \(\Q(\sqrt{-2}) \)
Isogeny class 516.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
516.2-a1 | \( \bigl[0\) , \( -a\) , \( a\) , \( 2 a + 6\) , \( a - 3\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)