Elliptic curve isogeny class 61731.2-h over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-61731.2-h
• Conductor: 61731.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 61731.2-h over \(\Q(\sqrt{-3}) \)

Isogeny class 61731.2-h contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
61731.2-h1	\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -7 a - 1\) , \( 15 a + 9\bigr] \)
61731.2-h2	\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -112 a + 119\) , \( 6 a + 459\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph