Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-867.1-b
Conductor 867.1
Rank not recorded

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Base field \(\Q(\sqrt{3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).

Elliptic curves in class 867.1-b over \(\Q(\sqrt{3}) \)

Isogeny class 867.1-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
867.1-b1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -59\) , \( -196\bigr] \)
867.1-b2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 1\) , \( -1\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph