Elliptic curve isogeny class 59.3-a over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-59.3-a
• Conductor: 59.3
• 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 59.3-a over 4.4.6125.1

Isogeny class 59.3-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.3-a1	\( \bigl[a\) , \( a^{3} + a^{2} - 6 a - 3\) , \( a^{3} + 2 a^{2} - 6 a - 8\) , \( -124 a^{3} - 169 a^{2} + 715 a + 576\) , \( -3046 a^{3} - 4155 a^{2} + 17591 a + 14171\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph