Elliptic curve isogeny class 64.1-b over number field 6.6.703493.1

• Base field: 6.6.703493.1
• Label: 6.6.703493.1-64.1-b
• Conductor: 64.1
• Rank: \( 1 \)

Base field 6.6.703493.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 5 x^{4} + 11 x^{3} + 2 x^{2} - 9 x + 1 \); class number \(1\).

Elliptic curves in class 64.1-b over 6.6.703493.1

Isogeny class 64.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
64.1-b1	\( \bigl[a^{5} - a^{4} - 6 a^{3} + 5 a^{2} + 6 a - 1\) , \( a^{5} - 2 a^{4} - 5 a^{3} + 10 a^{2} + 2 a - 5\) , \( a^{5} - a^{4} - 5 a^{3} + 6 a^{2} + 3 a - 3\) , \( a^{5} + 2 a^{4} - 6 a^{3} - 13 a^{2} + 7 a + 18\) , \( -11 a^{5} + 2 a^{4} + 64 a^{3} - 8 a^{2} - 66 a - 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph