Elliptic curve isogeny class 59.4-a over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-59.4-a
• Conductor: 59.4
• 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 59.4-a over 4.4.6125.1

Isogeny class 59.4-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.4-a1	\( \bigl[a^{3} + 2 a^{2} - 6 a - 8\) , \( -a^{3} - a^{2} + 6 a + 4\) , \( a^{3} + a^{2} - 5 a - 3\) , \( 2 a^{3} - 27 a^{2} + 32 a + 41\) , \( 141 a^{3} - 545 a^{2} + 263 a + 558\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph