Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100156.5-b
Conductor 100156.5
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 100156.5-b over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.5-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
100156.5-b1 \( \bigl[a\) , \( a + 1\) , \( 1\) , \( -491 a + 409\) , \( -368 a + 6106\bigr] \)
100156.5-b2 \( \bigl[a\) , \( a + 1\) , \( 1\) , \( -541 a + 489\) , \( -844 a + 5182\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph