Base field \(\Q(\sqrt{-23}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 6 \); class number \(3\).
Elliptic curves in class 108.1-a over \(\Q(\sqrt{-23}) \)
Isogeny class 108.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
108.1-a1 | \( \bigl[0\) , \( 0\) , \( a\) , \( 2 a - 3\) , \( a + 3\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)