Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 23328.2-b over \(\Q(\sqrt{-2}) \)
Isogeny class 23328.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
23328.2-b1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a + 1\) , \( a - 9\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)