Elliptic curve isogeny class 71.1-a over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-71.1-a
• 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-a over 4.4.6125.1

Isogeny class 71.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
71.1-a1	\( \bigl[2 a^{3} + 3 a^{2} - 11 a - 11\) , \( 2 a^{3} + 3 a^{2} - 13 a - 12\) , \( 1\) , \( 9 a^{3} + 14 a^{2} - 49 a - 51\) , \( 16 a^{3} + 20 a^{2} - 90 a - 74\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph