Elliptic curve isogeny class 14400.5-s over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.5-s
• Conductor: 14400.5
• Rank: \( 0 \)

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

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

Elliptic curves in class 14400.5-s over \(\Q(\sqrt{-11}) \)

Isogeny class 14400.5-s contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
14400.5-s1	\( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 0\bigr] \)
14400.5-s2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -16\) , \( -16\bigr] \)
14400.5-s3	\( \bigl[0\) , \( 1\) , \( 0\) , \( -136\) , \( 560\bigr] \)
14400.5-s4	\( \bigl[0\) , \( 1\) , \( 0\) , \( -216\) , \( -1296\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph