Elliptic curve isogeny class 29.1-a over number field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-29.1-a
• Conductor: 29.1
• 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 29.1-a over 5.5.24217.1

Isogeny class 29.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
29.1-a1	\( \bigl[2 a^{4} - 9 a^{2} + 2\) , \( -2 a^{4} + 9 a^{2} + a - 1\) , \( 2 a^{4} - a^{3} - 9 a^{2} + 3 a + 3\) , \( -6 a^{4} - 3 a^{3} + 23 a^{2} + 15 a + 1\) , \( -6 a^{4} - 7 a^{3} + 19 a^{2} + 20 a + 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph