Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-2420.1-e
Conductor 2420.1
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 2420.1-e over \(\Q(\sqrt{5}) \)

Isogeny class 2420.1-e contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
2420.1-e1 \( \bigl[1\) , \( 0\) , \( 1\) , \( -89\) , \( 316\bigr] \)
2420.1-e2 \( \bigl[1\) , \( 0\) , \( 1\) , \( 296\) , \( 1702\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph