Properties

Base field \(\Q(\sqrt{5}) \)
Label 2.2.5.1-961.2-b
Conductor 961.2
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 961.2-b over \(\Q(\sqrt{5}) \)

Isogeny class 961.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
961.2-b1 \( \bigl[0\) , \( -\phi\) , \( 1\) , \( -42 \phi - 53\) , \( -192 \phi - 140\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph