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

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

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

Curve label	Weierstrass Coefficients
14400.5-t1	\( \bigl[0\) , \( 1\) , \( 0\) , \( -665 a + 89\) , \( 8605 a - 11365\bigr] \)
14400.5-t2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -65 a + 209\) , \( 685 a + 659\bigr] \)
14400.5-t3	\( \bigl[0\) , \( 1\) , \( 0\) , \( 535 a + 9\) , \( 1725 a + 11979\bigr] \)
14400.5-t4	\( \bigl[0\) , \( 1\) , \( 0\) , \( -65 a + 229\) , \( 545 a + 675\bigr] \)

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