Base field \(\Q(\sqrt{23}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 23 \); class number \(1\).
Elliptic curves in class 8.1-a over \(\Q(\sqrt{23}) \)
Isogeny class 8.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-a1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -80 a + 384\) , \( 2072 a - 9937\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
