Elliptic curve isogeny class 31.1-b over number field 4.4.8789.1

• Base field: 4.4.8789.1
• Label: 4.4.8789.1-31.1-b
• Conductor: 31.1
• Rank: \( 0 \)

Base field 4.4.8789.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 6 x^{2} - 2 x + 1 \); class number \(1\).

Elliptic curves in class 31.1-b over 4.4.8789.1

Isogeny class 31.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
31.1-b1	\( \bigl[a^{3} - 2 a^{2} - 3 a + 2\) , \( a^{3} - 2 a^{2} - 3 a + 1\) , \( a^{3} - 2 a^{2} - 3 a + 1\) , \( 6 a^{3} - 15 a^{2} - 10 a + 3\) , \( -15 a^{3} + 41 a^{2} + 24 a - 11\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph