Elliptic curve isogeny class 71.2-d over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-71.2-d
• Conductor: 71.2
• 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 71.2-d over 4.4.6125.1

Isogeny class 71.2-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
71.2-d1	\( \bigl[a\) , \( a^{2} - a - 5\) , \( a^{3} + 2 a^{2} - 5 a - 7\) , \( -12 a^{3} - 15 a^{2} + 66 a + 56\) , \( -24 a^{3} - 30 a^{2} + 139 a + 107\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph