Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100156.3-e
Conductor 100156.3
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 100156.3-e over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.3-e contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
100156.3-e1 \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 915 a - 803\) , \( -17940 a + 13205\bigr] \)
100156.3-e2 \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -365 a - 3\) , \( -3188 a + 1045\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph