Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 142884.2-f over \(\Q(\sqrt{-3}) \)
Isogeny class 142884.2-f contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 142884.2-f1 | \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -11 a + 10\) , \( 19\bigr] \) |
| 142884.2-f2 | \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 9 a - 9\) , \( 3\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
