Elliptic curve isogeny class 43.2-d over number field 5.5.38569.1

• Base field: 5.5.38569.1
• Label: 5.5.38569.1-43.2-d
• Conductor: 43.2
• Rank: \( 1 \)

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-d over 5.5.38569.1

Isogeny class 43.2-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
43.2-d1	\( \bigl[2 a^{4} + a^{3} - 9 a^{2} - 3 a + 5\) , \( 2 a^{4} - 9 a^{2} + 3\) , \( a^{2} + a - 2\) , \( 6 a^{4} + 2 a^{3} - 27 a^{2} - 14 a + 18\) , \( -9 a^{4} + 14 a^{3} + 12 a^{2} - 10 a + 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph