Elliptic curve isogeny class 130816.2-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-130816.2-a
• Conductor: 130816.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 130816.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 130816.2-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
130816.2-a1	\( \bigl[0\) , \( -a\) , \( 0\) , \( -158 a + 181\) , \( -177 a - 854\bigr] \)
130816.2-a2	\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a + 21\) , \( 47 a - 54\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph