Elliptic curve isogeny class 130816.3-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-130816.3-a
• Conductor: 130816.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 130816.3-a over \(\Q(\sqrt{-3}) \)

Isogeny class 130816.3-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
130816.3-a1	\( \bigl[0\) , \( -a\) , \( 0\) , \( -181 a + 158\) , \( 177 a - 1031\bigr] \)
130816.3-a2	\( \bigl[0\) , \( -a\) , \( 0\) , \( -21 a - 2\) , \( -47 a - 7\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph