Elliptic curve isogeny class 28812.3-e over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-28812.3-e
• Conductor: 28812.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 28812.3-e over \(\Q(\sqrt{-3}) \)

Isogeny class 28812.3-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28812.3-e1	\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -1461 a + 352\) , \( 21851 a - 17068\bigr] \)
28812.3-e2	\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 9 a - 138\) , \( 585 a - 1290\bigr] \)