Elliptic curve isogeny class 131043.2-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-131043.2-a
• Conductor: 131043.2
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 131043.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 131043.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
131043.2-a1	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 30063 a\) , \( -2016358\bigr] \)
131043.2-a2	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 363 a\) , \( -2995\bigr] \)