Elliptic curve isogeny class 10927.5-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-10927.5-b
• Conductor: 10927.5
• Rank: \( 0 \)

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

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

Elliptic curves in class 10927.5-b over \(\Q(\sqrt{-3}) \)

Isogeny class 10927.5-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
10927.5-b1	\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( -a\) , \( -a\bigr] \)
10927.5-b2	\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( -6 a + 15\) , \( -21 a + 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph