Elliptic curve isogeny class 14400.2-a over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.2-a
• Conductor: 14400.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 14400.2-a over \(\Q(\sqrt{-11}) \)

Isogeny class 14400.2-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14400.2-a1	\( \bigl[0\) , \( a\) , \( 0\) , \( -10 a - 15\) , \( 21 a + 18\bigr] \)
14400.2-a2	\( \bigl[0\) , \( a\) , \( 0\) , \( 10 a - 75\) , \( 73 a - 282\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph