Elliptic curve isogeny class 71.3-d over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-71.3-d
• Conductor: 71.3
• 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 71.3-d over 4.4.6125.1

Isogeny class 71.3-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
71.3-d1	\( \bigl[2 a^{3} + 3 a^{2} - 12 a - 12\) , \( a^{2} + a - 4\) , \( a^{3} + 2 a^{2} - 6 a - 7\) , \( 10 a^{3} + 12 a^{2} - 62 a - 46\) , \( 35 a^{3} + 41 a^{2} - 221 a - 165\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph