Elliptic curve isogeny class 14400.4-m over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-14400.4-m
• Conductor: 14400.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 14400.4-m over \(\Q(\sqrt{-11}) \)

Isogeny class 14400.4-m contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14400.4-m1	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 121 a - 89\) , \( -509 a - 444\bigr] \)
14400.4-m2	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 9\) , \( -21 a - 36\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph