Elliptic curve isogeny class 3025.2-f over number field \(\Q(\sqrt{5}) \)

• Base field: \(\Q(\sqrt{5}) \)
• Label: 2.2.5.1-3025.2-f
• Conductor: 3025.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 3025.2-f over \(\Q(\sqrt{5}) \)

Isogeny class 3025.2-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
3025.2-f1	\( \bigl[1\) , \( -\phi + 1\) , \( \phi + 1\) , \( -6 \phi - 41\) , \( -768 \phi - 516\bigr] \)
3025.2-f2	\( \bigl[1\) , \( -\phi + 1\) , \( \phi + 1\) , \( -956 \phi - 966\) , \( -22513 \phi - 11356\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph