Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-63075.1-b
Conductor 63075.1
Rank \( 0 \)

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 63075.1-b over \(\Q(\sqrt{-3}) \)

Isogeny class 63075.1-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
63075.1-b1 \( \bigl[0\) , \( a - 1\) , \( 1\) , \( 11 a\) , \( 11\bigr] \)
63075.1-b2 \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -49 a\) , \( 80\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph