Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100156.5-a
Conductor 100156.5
Rank \( 0 \)

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 100156.5-a over \(\Q(\sqrt{-3}) \)

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

Curve label Weierstrass Coefficients
100156.5-a1 \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 389 a - 991\) , \( -3151 a + 17152\bigr] \)
100156.5-a2 \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -411 a + 289\) , \( -1999 a + 3392\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph