Elliptic curve isogeny class 142884.1-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-142884.1-a
• Conductor: 142884.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 142884.1-a over \(\Q(\sqrt{-3}) \)

Isogeny class 142884.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
142884.1-a1	\( \bigl[a + 1\) , \( 0\) , \( a\) , \( -241 a - 232\) , \( 1988 a + 138\bigr] \)
142884.1-a2	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -588 a - 1146\) , \( 12477 a + 13730\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph