Elliptic curve isogeny class 98.3-b over number field \(\Q(\sqrt{11}) \)

• Base field: \(\Q(\sqrt{11}) \)
• Label: 2.2.44.1-98.3-b
• Conductor: 98.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 98.3-b over \(\Q(\sqrt{11}) \)

Isogeny class 98.3-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
98.3-b1	\( \bigl[a\) , \( a + 1\) , \( a\) , \( 2 a + 2\) , \( a + 1\bigr] \)
98.3-b2	\( \bigl[a\) , \( a + 1\) , \( a\) , \( -18 a - 73\) , \( -147 a - 505\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph