Properties

Base field \(\Q(\sqrt{-163}) \)
Label 2.0.163.1-256.1-a
Conductor 256.1
Rank \( 0 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-163}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 41 \); class number \(1\).

Elliptic curves in class 256.1-a over \(\Q(\sqrt{-163}) \)

Isogeny class 256.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
256.1-a1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 17\) , \( -4 a + 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph