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

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-27225.1-d
• 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-d over \(\Q(\sqrt{-11}) \)

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

Curve label	Weierstrass Coefficients
27225.1-d1	\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -56 a + 529\) , \( 2551 a - 384\bigr] \)
27225.1-d2	\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -a + 34\) , \( 32 a + 12\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph