Elliptic curve isogeny class 13924.1-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-13924.1-d
• Conductor: 13924.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 13924.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 13924.1-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
13924.1-d1	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -24 a + 24\) , \( 64\bigr] \)
13924.1-d2	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 116 a - 116\) , \( -2596\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph