Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 23328.2-g over \(\Q(\sqrt{-2}) \)
Isogeny class 23328.2-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
23328.2-g1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 16 a + 13\) , \( -13 a + 57\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)