Elliptic curve isogeny class 14400.1-d over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.1-d
• Conductor: 14400.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 14400.1-d over \(\Q(\sqrt{-11}) \)

Isogeny class 14400.1-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14400.1-d1	\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 6\) , \( -3 a + 9\bigr] \)
14400.1-d2	\( \bigl[0\) , \( a\) , \( 0\) , \( 22 a - 111\) , \( -155 a + 402\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph