Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-4475.2-j
Conductor 4475.2
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 4475.2-j over \(\Q(\sqrt{5}) \)

Isogeny class 4475.2-j contains only one elliptic curve.

Curve label Weierstrass Coefficients
4475.2-j1 \( \bigl[0\) , \( \phi\) , \( \phi\) , \( -13 \phi - 18\) , \( -48 \phi - 41\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph