Elliptic curve isogeny class 71.1-d over number field 4.4.6125.1

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

Isogeny class 71.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
71.1-d1	\( \bigl[a^{3} + 2 a^{2} - 6 a - 8\) , \( -2 a^{3} - 3 a^{2} + 11 a + 13\) , \( 2 a^{3} + 3 a^{2} - 12 a - 11\) , \( a^{3} - 2 a^{2} - 4 a + 8\) , \( 4 a^{3} - 3 a^{2} - 13 a\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph