Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 16384.1-f over \(\Q(\sqrt{-3}) \)
Isogeny class 16384.1-f contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
16384.1-f1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a\) , \( -2 a + 1\bigr] \) |
16384.1-f2 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a\) , \( 4 a - 2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)