Properties

Base field \(\Q(\sqrt{33}) \)
Label 2.2.33.1-539.1-d
Conductor 539.1
Rank \( 2 \)

Related objects

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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 539.1-d over \(\Q(\sqrt{33}) \)

Isogeny class 539.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
539.1-d1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 736 a + 1746\) , \( -4230 a - 10035\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph