Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-17161.1-a
Conductor 17161.1
Rank \( 2 \)

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 17161.1-a over \(\Q(\sqrt{-3}) \)

Isogeny class 17161.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
17161.1-a1 \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -a\) , \( 0\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph