Elliptic curve isogeny class 24964.1-d over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-24964.1-d
• Conductor: 24964.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 24964.1-d over \(\Q(\sqrt{-11}) \)

Isogeny class 24964.1-d contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
24964.1-d1	\( \bigl[1\) , \( 0\) , \( 1\) , \( -82\) , \( -92\bigr] \)
24964.1-d2	\( \bigl[1\) , \( 0\) , \( 1\) , \( -47\) , \( 118\bigr] \)
24964.1-d3	\( \bigl[1\) , \( 0\) , \( 1\) , \( -5217\) , \( -145452\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 3 \\ 3 & 1 & 9 \\ 3 & 9 & 1 \end{array}\right)\)

Isogeny graph