Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 97344.1-h over \(\Q(\sqrt{-3}) \)
Isogeny class 97344.1-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 97344.1-h1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -39 a + 36\) , \( 30 a - 123\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
