Elliptic curve isogeny class 85692.3-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-85692.3-b
• Conductor: 85692.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 85692.3-b over \(\Q(\sqrt{-3}) \)

Isogeny class 85692.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
85692.3-b1	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 84 a - 161\) , \( 73 a + 490\bigr] \)
85692.3-b2	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -36 a + 49\) , \( 31 a + 64\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph