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

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.1-h
• 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-h over \(\Q(\sqrt{-11}) \)

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

Curve label	Weierstrass Coefficients
14400.1-h1	\( \bigl[0\) , \( -a\) , \( 0\) , \( 102 a + 9\) , \( -461 a + 6022\bigr] \)
14400.1-h2	\( \bigl[0\) , \( -a\) , \( 0\) , \( -128 a + 204\) , \( 85 a + 1333\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph