Elliptic Curve Isogeny Class 47.1-a over Number Field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-47.1-a
• Conductor: 47.1
• Rank: not recorded

Base field 5.5.24217.1

Generator \(a\), with minimal polynomial \( x^{5} - 5 x^{3} - x^{2} + 3 x + 1 \); class number \(1\).

Elliptic curves in class 47.1-a over 5.5.24217.1

Isogeny class 47.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
47.1-a1	\( \bigl[a^{4} - 4 a^{2}\) , \( -2 a^{4} + 2 a^{3} + 9 a^{2} - 6 a - 3\) , \( a^{4} - 4 a^{2} + 1\) , \( -4 a^{4} + 3 a^{3} + 17 a^{2} - 11 a - 5\) , \( -3 a^{4} + 2 a^{3} + 13 a^{2} - 7 a - 4\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph