Elliptic curve isogeny class 142884.1-e over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-142884.1-e
• Conductor: 142884.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 142884.1-e over \(\Q(\sqrt{-3}) \)

Isogeny class 142884.1-e contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
142884.1-e1	\( \bigl[a + 1\) , \( 0\) , \( a\) , \( 344 a + 119\) , \( -1261 a + 3657\bigr] \)
142884.1-e2	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -93 a + 33\) , \( 120 a - 652\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph