Elliptic curve isogeny class 26411.1-c over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-26411.1-c
• Conductor: 26411.1
• Rank: \( 2 \)

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

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

Elliptic curves in class 26411.1-c over \(\Q(\sqrt{-11}) \)

Isogeny class 26411.1-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
26411.1-c1	\( \bigl[0\) , \( 1\) , \( 1\) , \( -383196\) , \( 91174234\bigr] \)
26411.1-c2	\( \bigl[0\) , \( 1\) , \( 1\) , \( -506\) , \( 7774\bigr] \)
26411.1-c3	\( \bigl[0\) , \( 1\) , \( 1\) , \( -16\) , \( -66\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph