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

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

Isogeny class 14400.5-l contains 6 curves linked by isogenies of degrees dividing 8.

Curve label	Weierstrass Coefficients
14400.5-l1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -639 a + 959\) , \( -179 a - 17600\bigr] \)
14400.5-l2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -39 a + 59\) , \( a - 320\bigr] \)
14400.5-l3	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 4\) , \( 2 a - 12\bigr] \)
14400.5-l4	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -79 a + 39\) , \( -283 a + 48\bigr] \)
14400.5-l5	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 16 a - 56\) , \( 68 a - 96\bigr] \)
14400.5-l6	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 26 a + 79\) , \( 147 a - 327\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrrrr} 1 & 2 & 4 & 4 & 8 & 8 \\ 2 & 1 & 2 & 2 & 4 & 4 \\ 4 & 2 & 1 & 4 & 2 & 2 \\ 4 & 2 & 4 & 1 & 8 & 8 \\ 8 & 4 & 2 & 8 & 1 & 4 \\ 8 & 4 & 2 & 8 & 4 & 1 \end{array}\right)\)

Isogeny graph