Elliptic curve isogeny class 142884.2-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-142884.2-d
• Conductor: 142884.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 142884.2-d over \(\Q(\sqrt{-3}) \)

Isogeny class 142884.2-d contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
142884.2-d1	\( \bigl[1\) , \( -1\) , \( 1\) , \( -36 a + 22\) , \( -12 a - 103\bigr] \)
142884.2-d2	\( \bigl[1\) , \( -1\) , \( 0\) , \( 36 a - 24\) , \( -72 a - 64\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph