Elliptic curve isogeny class 59.1-c over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-59.1-c
• Conductor: 59.1
• Rank: \( 1 \)

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-c over 4.4.6125.1

Isogeny class 59.1-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.1-c1	\( \bigl[2 a^{3} + 3 a^{2} - 12 a - 12\) , \( 2 a^{3} + 3 a^{2} - 11 a - 11\) , \( a^{3} + 2 a^{2} - 5 a - 7\) , \( 40 a^{3} + 50 a^{2} - 249 a - 200\) , \( -90 a^{3} - 108 a^{2} + 572 a + 448\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph