Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 22188.2-a over \(\Q(\sqrt{-3}) \)
Isogeny class 22188.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 22188.2-a1 | \( \bigl[a + 1\) , \( a\) , \( 1\) , \( 3 a - 4\) , \( -6\bigr] \) |