Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 88209.1-f over \(\Q(\sqrt{-3}) \)
Isogeny class 88209.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 88209.1-f1 | \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -3 a + 6\) , \( -3 a - 1\bigr] \) |