Elliptic curve isogeny class 9.3-b over number field \(\Q(\sqrt{97}) \)

• Base field: \(\Q(\sqrt{97}) \)
• Label: 2.2.97.1-9.3-b
• Conductor: 9.3
• Rank: \( 0 \)

Base field \(\Q(\sqrt{97}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 24 \); class number \(1\).

Elliptic curves in class 9.3-b over \(\Q(\sqrt{97}) \)

Isogeny class 9.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
9.3-b1	\( \bigl[1\) , \( a - 1\) , \( a\) , \( 415171 a - 2252061\) , \( -288105429 a + 1562807412\bigr] \)
9.3-b2	\( \bigl[1\) , \( a - 1\) , \( a\) , \( -a + 6\) , \( -9\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph