Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 50052.1-b over \(\Q(\sqrt{-3}) \)
Isogeny class 50052.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50052.1-b1 | \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -5 a - 1\) , \( -2 a + 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
