Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-2916.1-f
Number of curves 1
Graph
Conductor 2916.1
Rank \( 0 \)

Related objects

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 2916.1-f over \(\Q(\sqrt{5}) \)

Isogeny class 2916.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
2916.1-f1 \( \bigl[\phi\) , \( -\phi - 1\) , \( \phi\) , \( 10 \phi - 20\) , \( 26 \phi - 44\bigr] \)