Elliptic curve isogeny class 27225.1-b over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-27225.1-b
• Conductor: 27225.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 27225.1-b over \(\Q(\sqrt{-11}) \)

Isogeny class 27225.1-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
27225.1-b1	\( \bigl[0\) , \( a\) , \( a + 1\) , \( 180 a + 11307\) , \( 286215 a - 159708\bigr] \)
27225.1-b2	\( \bigl[0\) , \( a\) , \( a + 1\) , \( 1555 a - 1068\) , \( -25085 a + 8867\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph