Elliptic curve isogeny class 50092.3-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-50092.3-a
• Conductor: 50092.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 50092.3-a over \(\Q(\sqrt{-3}) \)

Isogeny class 50092.3-a contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
50092.3-a1	\( \bigl[a\) , \( 1\) , \( a\) , \( -4 a + 21\) , \( 40 a - 11\bigr] \)
50092.3-a2	\( \bigl[a\) , \( 1\) , \( a\) , \( 126 a - 999\) , \( -2202 a + 11755\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph