Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-3600.1-f
Conductor 3600.1
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 3600.1-f over \(\Q(\sqrt{5}) \)

Isogeny class 3600.1-f contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
3600.1-f1 \( \bigl[0\) , \( \phi - 1\) , \( 0\) , \( -6067 \phi - 6066\) , \( 323326 \phi + 244011\bigr] \)
3600.1-f2 \( \bigl[0\) , \( \phi - 1\) , \( 0\) , \( -67 \phi - 66\) , \( 526 \phi + 411\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph