Elliptic curve isogeny class 146692.11-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-146692.11-c
• Conductor: 146692.11
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 146692.11-c over \(\Q(\sqrt{-3}) \)

Isogeny class 146692.11-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
146692.11-c1	\( \bigl[a\) , \( -1\) , \( a\) , \( 352 a - 542\) , \( 3797 a - 3842\bigr] \)
146692.11-c2	\( \bigl[a\) , \( -1\) , \( a\) , \( -8 a - 12\) , \( 187 a - 114\bigr] \)