Elliptic curve isogeny class 22500.3-h over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-22500.3-h
• Conductor: 22500.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 22500.3-h over \(\Q(\sqrt{-11}) \)

Isogeny class 22500.3-h contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
22500.3-h1	\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -33 a + 97\) , \( 155 a + 145\bigr] \)
22500.3-h2	\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -8 a + 94\) , \( 175 a - 43\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph