Elliptic curve isogeny class 13.1-a over number field 4.4.8789.1

• Base field: 4.4.8789.1
• Label: 4.4.8789.1-13.1-a
• Conductor: 13.1
• 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 13.1-a over 4.4.8789.1

Isogeny class 13.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
13.1-a1	\( \bigl[a^{3} - 2 a^{2} - 3 a + 1\) , \( a^{3} - a^{2} - 5 a - 2\) , \( a^{3} - a^{2} - 6 a - 1\) , \( -2 a^{3} + 4 a^{2} + 9 a + 1\) , \( a^{2} - 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph