Elliptic curve isogeny class 38025.2-f over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-38025.2-f
• Conductor: 38025.2
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 38025.2-f over \(\Q(\sqrt{-3}) \)

Isogeny class 38025.2-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
38025.2-f1	\( \bigl[1\) , \( a\) , \( a\) , \( 3 a + 17\) , \( 45 a - 27\bigr] \)
38025.2-f2	\( \bigl[1\) , \( a\) , \( a\) , \( 48 a - 28\) , \( 180 a - 9\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph