Elliptic curve isogeny class 59.1-a over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-59.1-a
• Conductor: 59.1
• Rank: \( 0 \)

Base field 4.4.6125.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).

Elliptic curves in class 59.1-a over 4.4.6125.1

Isogeny class 59.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.1-a1	\( \bigl[2 a^{3} + 3 a^{2} - 12 a - 12\) , \( -a^{3} - a^{2} + 6 a + 4\) , \( a\) , \( 132 a^{3} + 160 a^{2} - 837 a - 663\) , \( 3307 a^{3} + 3992 a^{2} - 20951 a - 16480\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph