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 123201.3-CMb over \(\Q(\sqrt{-3}) \)
Isogeny class 123201.3-CMb contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 123201.3-CMb1 | \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( -a + 1\bigr] \) |