Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-96100.3-a
Conductor 96100.3
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 96100.3-a over \(\Q(\sqrt{-3}) \)

Isogeny class 96100.3-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
96100.3-a1 \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 5809 a - 1609\) , \( -101245 a - 36864\bigr] \)
96100.3-a2 \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 1829 a + 571\) , \( -15105 a + 44100\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph