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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-61731.2-d
• 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-d over \(\Q(\sqrt{-3}) \)

Isogeny class 61731.2-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
61731.2-d1	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 276592 a - 65855\) , \( -18648239 a - 36055987\bigr] \)
61731.2-d2	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -1238 a + 295\) , \( -7169 a - 11797\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph