Elliptic curve isogeny class 22275.7-a over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-22275.7-a
• Conductor: 22275.7
• Rank: \( 1 \)

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

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

Elliptic curves in class 22275.7-a over \(\Q(\sqrt{-11}) \)

Isogeny class 22275.7-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
22275.7-a1	\( \bigl[1\) , \( -1\) , \( 0\) , \( 33 a + 111\) , \( -319 a + 487\bigr] \)
22275.7-a2	\( \bigl[1\) , \( -1\) , \( 0\) , \( 3 a + 6\) , \( -7 a + 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph