Elliptic curve isogeny class 10092.1-e over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-10092.1-e
• Conductor: 10092.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 10092.1-e over \(\Q(\sqrt{-3}) \)

Isogeny class 10092.1-e contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
10092.1-e1	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -7705 a + 7704\) , \( 1226492\bigr] \)
10092.1-e2	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 68840 a - 68841\) , \( -31810330\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph