Elliptic curve isogeny class 22275.1-b over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-22275.1-b
• Conductor: 22275.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 22275.1-b over \(\Q(\sqrt{-11}) \)

Isogeny class 22275.1-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
22275.1-b1	\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 2612 a - 4923\) , \( -96076 a + 130747\bigr] \)
22275.1-b2	\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 205287 a - 422373\) , \( -69676884 a + 76785094\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph