Elliptic curve isogeny class 28224.2-d over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-28224.2-d
• Conductor: 28224.2
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 28224.2-d over \(\Q(\sqrt{-11}) \)

Isogeny class 28224.2-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28224.2-d1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10 a - 37\) , \( -25 a + 85\bigr] \)
28224.2-d2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10 a - 177\) , \( 87 a - 783\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph