Elliptic curve isogeny class 43.2-b over number field 5.5.38569.1

• Base field: 5.5.38569.1
• Label: 5.5.38569.1-43.2-b
• Conductor: 43.2
• Rank: \( 0 \)

Base field 5.5.38569.1

Generator \(a\), with minimal polynomial \( x^{5} - 5 x^{3} + 4 x - 1 \); class number \(1\).

Elliptic curves in class 43.2-b over 5.5.38569.1

Isogeny class 43.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
43.2-b1	\( \bigl[-a^{4} + 5 a^{2} - 3\) , \( a^{2} + a - 1\) , \( a^{4} - 4 a^{2} + a + 2\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 4\) , \( -3 a^{4} + 5 a^{3} + 4 a^{2} - 5 a\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph