Elliptic curve isogeny class 14400.6-h over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.6-h
• Conductor: 14400.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 14400.6-h over \(\Q(\sqrt{-11}) \)

Isogeny class 14400.6-h contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14400.6-h1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 9\) , \( 21 a - 48\bigr] \)
14400.6-h2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -119 a + 31\) , \( 629 a - 984\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph