Elliptic curve isogeny class 146692.6-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-146692.6-a
• Conductor: 146692.6
• 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 146692.6-a over \(\Q(\sqrt{-3}) \)

Isogeny class 146692.6-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
146692.6-a1	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -140 a + 53\) , \( -450 a + 918\bigr] \)
146692.6-a2	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -2540 a + 1333\) , \( -30914 a + 44566\bigr] \)