Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100156.6-c
Conductor 100156.6
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 100156.6-c over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.6-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
100156.6-c1 \( \bigl[1\) , \( 1\) , \( 0\) , \( -6 a + 7\) , \( 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph