Elliptic curve isogeny class 71.1-b over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-71.1-b
• Conductor: 71.1
• 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 71.1-b over 4.4.6125.1

Isogeny class 71.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
71.1-b1	\( \bigl[1\) , \( 2 a^{3} + 3 a^{2} - 11 a - 12\) , \( a^{3} + 2 a^{2} - 5 a - 8\) , \( 38 a^{3} + 46 a^{2} - 240 a - 187\) , \( 125 a^{3} + 151 a^{2} - 793 a - 627\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph