Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 100092.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 100092.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 100092.1-a1 | \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -31 a + 9\) , \( 32 a - 13\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
