Elliptic curve isogeny class 128772.4-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-128772.4-d
• Conductor: 128772.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 128772.4-d over \(\Q(\sqrt{-3}) \)

Isogeny class 128772.4-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
128772.4-d1	\( \bigl[a\) , \( -1\) , \( a\) , \( -873 a + 844\) , \( -150 a + 9669\bigr] \)
128772.4-d2	\( \bigl[a\) , \( -1\) , \( a\) , \( -63 a + 34\) , \( 174 a + 111\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph