Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-20164.1-d
Conductor 20164.1
Rank not recorded

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 20164.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 20164.1-d contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
20164.1-d1 \( \bigl[a\) , \( 0\) , \( 0\) , \( 58 a\) , \( -170\bigr] \)
20164.1-d2 \( \bigl[a\) , \( 0\) , \( 0\) , \( 8 a\) , \( 8\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph