Elliptic curve isogeny class 131769.1-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-131769.1-c
• Conductor: 131769.1
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 131769.1-c over \(\Q(\sqrt{-3}) \)

Isogeny class 131769.1-c contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
131769.1-c1	\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -28 a - 16\) , \( 90 a - 5\bigr] \)
131769.1-c2	\( \bigl[a + 1\) , \( 0\) , \( a\) , \( 26 a - 43\) , \( -91 a + 86\bigr] \)