Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-43923.1-a
Conductor 43923.1
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 43923.1-a over \(\Q(\sqrt{-3}) \)

Isogeny class 43923.1-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
43923.1-a1 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -5262 a\) , \( -46804\bigr] \)
43923.1-a2 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 1393 a\) , \( -6874\bigr] \)
43923.1-a3 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 788 a\) , \( 8130\bigr] \)
43923.1-a4 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 17728 a\) , \( -915100\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph