Elliptic curve isogeny class 43200.9-i over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-43200.9-i
• Conductor: 43200.9
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 43200.9-i over \(\Q(\sqrt{-11}) \)

Isogeny class 43200.9-i contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
43200.9-i1	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 8 a - 44\) , \( -40 a + 108\bigr] \)
43200.9-i2	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 3 a - 9\) , \( 2 a - 6\bigr] \)