Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-86436.3-f
Conductor 86436.3
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 86436.3-f over \(\Q(\sqrt{-3}) \)

Isogeny class 86436.3-f contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
86436.3-f1 \( \bigl[a\) , \( -1\) , \( 1\) , \( -23 a + 60\) , \( 1935 a - 3580\bigr] \)
86436.3-f2 \( \bigl[a\) , \( -1\) , \( 1\) , \( 1237 a - 3300\) , \( 35535 a - 65740\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph