Elliptic curve isogeny class 31.1-a over number field 5.5.160801.1

• Base field: 5.5.160801.1
• Label: 5.5.160801.1-31.1-a
• Conductor: 31.1
• Rank: \( 1 \)

Base field 5.5.160801.1

Generator \(a\), with minimal polynomial \( x^{5} - x^{4} - 5 x^{3} + 4 x^{2} + 3 x - 1 \); class number \(1\).

Elliptic curves in class 31.1-a over 5.5.160801.1

Isogeny class 31.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
31.1-a1	\( \bigl[a^{4} - 4 a^{2} + a\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{4} - a^{3} - 5 a^{2} + 5 a + 3\) , \( 3 a^{4} + 2 a^{3} - 8 a^{2} + 2 a + 3\) , \( -4 a^{4} - 3 a^{3} + 12 a^{2} + a - 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph