Properties

Base field \(\Q(\sqrt{33}) \)
Label 2.2.33.1-528.1-d
Conductor 528.1
Rank not recorded

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Base field \(\Q(\sqrt{33}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).

Elliptic curves in class 528.1-d over \(\Q(\sqrt{33}) \)

Isogeny class 528.1-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
528.1-d1 \( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( 0\bigr] \)
528.1-d2 \( \bigl[0\) , \( 1\) , \( 0\) , \( -12\) , \( -12\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph