Elliptic curve isogeny class 28899.5-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-28899.5-b
• Conductor: 28899.5
• Rank: \( 1 \)

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

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

Elliptic curves in class 28899.5-b over \(\Q(\sqrt{-3}) \)

Isogeny class 28899.5-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
28899.5-b1	\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( a + 3\) , \( 9 a - 6\bigr] \)
28899.5-b2	\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -30 a + 12\) , \( -51 a + 49\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph