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

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

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

Curve label	Weierstrass Coefficients
14400.5-y1	\( \bigl[0\) , \( 1\) , \( 0\) , \( -25 a - 175\) , \( 181 a + 971\bigr] \)
14400.5-y2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -25 a + 5\) , \( -71 a + 107\bigr] \)
14400.5-y3	\( \bigl[0\) , \( 1\) , \( 0\) , \( 335 a - 295\) , \( 4165 a + 1043\bigr] \)
14400.5-y4	\( \bigl[0\) , \( 1\) , \( 0\) , \( 10\) , \( -9 a + 6\bigr] \)
14400.5-y5	\( \bigl[0\) , \( 1\) , \( 0\) , \( -425 a + 105\) , \( -3891 a + 5787\bigr] \)
14400.5-y6	\( \bigl[0\) , \( 1\) , \( 0\) , \( -385 a - 2935\) , \( 12325 a + 59075\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph