Elliptic curve isogeny class 43.1-b over number field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-43.1-b
• Conductor: 43.1
• Rank: \( 1 \)

Base field 5.5.24217.1

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 43.1-b over 5.5.24217.1

Isogeny class 43.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
43.1-b1	\( \bigl[2 a^{4} - a^{3} - 9 a^{2} + 3 a + 4\) , \( 4 a^{4} - 2 a^{3} - 19 a^{2} + 6 a + 7\) , \( -a^{4} + a^{3} + 5 a^{2} - 3 a - 2\) , \( -2 a^{4} + 3 a^{3} + 9 a^{2} - 13 a - 4\) , \( -3 a^{3} - a^{2} + 13 a + 5\bigr] \)