Elliptic curve isogeny class 16.1-c over number field 5.5.138136.1

• Base field: 5.5.138136.1
• Label: 5.5.138136.1-16.1-c
• Conductor: 16.1
• Rank: \( 0 \)

Base field 5.5.138136.1

Generator \(a\), with minimal polynomial \( x^{5} - x^{4} - 6 x^{3} + 3 x^{2} + 4 x - 2 \); class number \(1\).

Elliptic curves in class 16.1-c over 5.5.138136.1

Isogeny class 16.1-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
16.1-c1	\( \bigl[a^{4} - 6 a^{2} - 2 a + 3\) , \( a^{4} - 7 a^{2} - 2 a + 5\) , \( 2 a^{4} - 13 a^{2} - 5 a + 7\) , \( 20 a^{4} - 9 a^{3} - 124 a^{2} - 7 a + 75\) , \( -5 a^{4} + 3 a^{3} + 32 a^{2} - a - 23\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph