Elliptic curve isogeny class 9.3-b over number field 4.4.17069.1

• Base field: 4.4.17069.1
• Label: 4.4.17069.1-9.3-b
• Conductor: 9.3
• Rank: \( 1 \)

Base field 4.4.17069.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} - 4 x + 3 \); class number \(1\).

Elliptic curves in class 9.3-b over 4.4.17069.1

Isogeny class 9.3-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
9.3-b1	\( \bigl[a^{3} - a^{2} - 6 a - 4\) , \( a^{2} - 2 a - 4\) , \( a^{3} - 2 a^{2} - 4 a + 1\) , \( a^{3} - 3 a^{2} + 2 a + 8\) , \( -32 a^{3} + 88 a^{2} + 113 a - 52\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph