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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-142884.1-i
• Conductor: 142884.1
• Rank: \( 1 \)

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

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

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

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

Curve label	Weierstrass Coefficients
142884.1-i1	\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 5 a - 16\) , \( -11 a + 24\bigr] \)
142884.1-i2	\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -40 a + 104\) , \( -6 a - 22\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph