Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-16384.1-f
Conductor 16384.1
Rank not recorded

Related objects

Learn more about

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 not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph