Elliptic curve isogeny class 22275.9-m over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-22275.9-m
• Conductor: 22275.9
• Rank: \( 0 \)

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

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

Elliptic curves in class 22275.9-m over \(\Q(\sqrt{-11}) \)

Isogeny class 22275.9-m contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
22275.9-m1	\( \bigl[0\) , \( 0\) , \( a\) , \( 327 a + 141\) , \( -65 a - 5936\bigr] \)
22275.9-m2	\( \bigl[0\) , \( 0\) , \( a\) , \( -48 a + 141\) , \( 35 a + 514\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph