Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-57600.1-f
Conductor 57600.1
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).

Elliptic curves in class 57600.1-f over \(\Q(\sqrt{-3}) \)

Isogeny class 57600.1-f contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
57600.1-f1 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a + 9\) , \( -9 a\bigr] \)
57600.1-f2 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -63 a + 69\) , \( 39 a + 156\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph