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

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.5-u
• 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-u over \(\Q(\sqrt{-11}) \)

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

Curve label	Weierstrass Coefficients
14400.5-u1	\( \bigl[0\) , \( 1\) , \( 0\) , \( 665 a - 576\) , \( -8605 a - 2760\bigr] \)
14400.5-u2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -535 a + 544\) , \( -1725 a + 13704\bigr] \)
14400.5-u3	\( \bigl[0\) , \( 1\) , \( 0\) , \( 65 a + 144\) , \( -685 a + 1344\bigr] \)
14400.5-u4	\( \bigl[0\) , \( 1\) , \( 0\) , \( 65 a + 164\) , \( -545 a + 1220\bigr] \)

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