Elliptic curve isogeny class 98.2-a over number field \(\Q(\sqrt{11}) \)

• Base field: \(\Q(\sqrt{11}) \)
• Label: 2.2.44.1-98.2-a
• Conductor: 98.2
• Rank: \( 1 \)

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

Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).

Elliptic curves in class 98.2-a over \(\Q(\sqrt{11}) \)

Isogeny class 98.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
98.2-a1	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -818 a - 2713\) , \( -36655 a - 121571\bigr] \)
98.2-a2	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 82 a + 282\) , \( 814 a + 2704\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph