Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 110889.3-b over \(\Q(\sqrt{-3}) \)
Isogeny class 110889.3-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 110889.3-b1 | \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 10 a - 13\) , \( -13 a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
