Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-1156.1-a
Conductor 1156.1
Rank \( 0 \)

Related objects

Learn more about

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

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

Elliptic curves in class 1156.1-a over \(\Q(\sqrt{5}) \)

Isogeny class 1156.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
1156.1-a1 \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -4 \phi - 4\) , \( -5 \phi - 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph