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

• Base field: \(\Q(\sqrt{5}) \)
• Label: 2.2.5.1-3025.2-a
• 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-a over \(\Q(\sqrt{5}) \)

Isogeny class 3025.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
3025.2-a1	\( \bigl[1\) , \( -\phi + 1\) , \( \phi + 1\) , \( 4 \phi - 11\) , \( 17 \phi - 31\bigr] \)
3025.2-a2	\( \bigl[1\) , \( -\phi + 1\) , \( \phi + 1\) , \( -171 \phi + 14\) , \( -983 \phi - 6\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph