Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-2809.1-a
Conductor 2809.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{5}) \)

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

Elliptic curves in class 2809.1-a over \(\Q(\sqrt{5}) \)

Isogeny class 2809.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
2809.1-a1 \( \bigl[1\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph