Elliptic curve isogeny class 43776.2-m over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-43776.2-m
• Conductor: 43776.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 43776.2-m over \(\Q(\sqrt{-3}) \)

Isogeny class 43776.2-m contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
43776.2-m1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 9\) , \( -9 a + 9\bigr] \)
43776.2-m2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 129\) , \( 87 a + 609\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph