Elliptic curve isogeny class 59.1-a over number field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-59.1-a
• Conductor: 59.1
• 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 \(1\).

Elliptic curves in class 59.1-a over 5.5.24217.1

Isogeny class 59.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.1-a1	\( \bigl[2 a^{4} - 9 a^{2} + 3\) , \( 4 a^{4} - 2 a^{3} - 19 a^{2} + 6 a + 7\) , \( 3 a^{4} - a^{3} - 14 a^{2} + 3 a + 6\) , \( -4 a^{4} + 3 a^{3} + 18 a^{2} - 9 a - 5\) , \( 3 a^{4} - 2 a^{3} - 13 a^{2} + 7 a + 3\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph