Elliptic curve isogeny class 43.1-a over number field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-43.1-a
• Conductor: 43.1
• Rank: \( 0 \)

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 43.1-a over 5.5.24217.1

Isogeny class 43.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
43.1-a1	\( \bigl[a^{4} - a^{3} - 4 a^{2} + 4 a + 2\) , \( -2 a^{4} + 9 a^{2} + a - 2\) , \( -a^{4} + a^{3} + 5 a^{2} - 2 a - 2\) , \( 3 a^{4} - 5 a^{3} - 16 a^{2} + 16 a + 11\) , \( -6 a^{4} + a^{3} + 26 a^{2} - 2 a - 9\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph