Elliptic curve isogeny class 89.1-b over number field \(\Q(\sqrt{89}) \)

• Base field: \(\Q(\sqrt{89}) \)
• Label: 2.2.89.1-89.1-b
• Conductor: 89.1
• Rank: \( 2 \)

Base field \(\Q(\sqrt{89}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).

Elliptic curves in class 89.1-b over \(\Q(\sqrt{89}) \)

Isogeny class 89.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
89.1-b1	\( \bigl[1\) , \( 1\) , \( 1\) , \( -1\) , \( 0\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph