Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-20956.2-a
Conductor 20956.2
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 20956.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 20956.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
20956.2-a1 \( \bigl[a\) , \( 0\) , \( a\) , \( 29 a - 6\) , \( 10 a - 22\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph