Elliptic curve isogeny class 19404.2-h over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-19404.2-h
• Conductor: 19404.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 19404.2-h over \(\Q(\sqrt{-11}) \)

Isogeny class 19404.2-h contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
19404.2-h1	\( \bigl[1\) , \( 1\) , \( 0\) , \( -1444\) , \( 410800\bigr] \)
19404.2-h2	\( \bigl[1\) , \( 1\) , \( 0\) , \( -644\) , \( -2352\bigr] \)
19404.2-h3	\( \bigl[1\) , \( 1\) , \( 0\) , \( -5764\) , \( 164560\bigr] \)
19404.2-h4	\( \bigl[1\) , \( 1\) , \( 0\) , \( -92004\) , \( 10703088\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph