Elliptic curve isogeny class 71424.2-h over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-71424.2-h
• Conductor: 71424.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 71424.2-h over \(\Q(\sqrt{-3}) \)

Isogeny class 71424.2-h contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
71424.2-h1	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -3 a - 3\) , \( 5 a - 8\bigr] \)
71424.2-h2	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a + 2\) , \( 3 a - 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph