Base field \(\Q(\sqrt{-23}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 6 \); class number \(3\).
Elliptic curves in class 32.4-a over \(\Q(\sqrt{-23}) \)
Isogeny class 32.4-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 32.4-a1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -4\) , \( a - 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
