Elliptic curve isogeny class 29241.3-d over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-29241.3-d
• Conductor: 29241.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 29241.3-d over \(\Q(\sqrt{-11}) \)

Isogeny class 29241.3-d contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
29241.3-d1	\( \bigl[1\) , \( -1\) , \( 1\) , \( 76\) , \( -790\bigr] \)
29241.3-d2	\( \bigl[1\) , \( -1\) , \( 1\) , \( -14\) , \( 20\bigr] \)
29241.3-d3	\( \bigl[1\) , \( -1\) , \( 1\) , \( -59\) , \( -142\bigr] \)
29241.3-d4	\( \bigl[1\) , \( -1\) , \( 1\) , \( -914\) , \( -10402\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph