Elliptic curve isogeny class 43264.1-b over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-43264.1-b
• Conductor: 43264.1
• Rank: \( 2 \)

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

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

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 43264.1-b over \(\Q(\sqrt{-11}) \)

Isogeny class 43264.1-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
43264.1-b1	\( \bigl[0\) , \( -1\) , \( 0\) , \( -7352\) , \( 245104\bigr] \)
43264.1-b2	\( \bigl[0\) , \( -1\) , \( 0\) , \( -72\) , \( 496\bigr] \)
43264.1-b3	\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -16\bigr] \)