Elliptic curve isogeny class 61.1-c over number field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-61.1-c
• Conductor: 61.1
• 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 61.1-c over 5.5.24217.1

Isogeny class 61.1-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
61.1-c1	\( \bigl[2 a^{4} - 9 a^{2} + 3\) , \( -a^{3} + 3 a\) , \( 2 a^{4} - a^{3} - 9 a^{2} + 4 a + 4\) , \( a^{4} - 2 a^{3} - 6 a^{2} + 7 a + 2\) , \( -2 a^{4} + 4 a^{3} + 7 a^{2} - 13 a - 6\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph