Elliptic curve isogeny class 96957.1-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-96957.1-a
• Conductor: 96957.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 96957.1-a over \(\Q(\sqrt{-3}) \)

Isogeny class 96957.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
96957.1-a1	\( \bigl[1\) , \( -1\) , \( a\) , \( -56 a + 24\) , \( -65 a + 117\bigr] \)
96957.1-a2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 55 a - 41\) , \( 101 a + 20\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph