Elliptic curve isogeny class 64.1-d over number field 6.6.703493.1

• Base field: 6.6.703493.1
• Label: 6.6.703493.1-64.1-d
• Conductor: 64.1
• Rank: \( 0 \)

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-d over 6.6.703493.1

Isogeny class 64.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
64.1-d1	\( \bigl[2 a^{5} - a^{4} - 12 a^{3} + 5 a^{2} + 14 a\) , \( -a^{5} + 5 a^{3} - 4 a - 1\) , \( a^{5} - 6 a^{3} + a^{2} + 7 a\) , \( -2 a^{4} + 10 a^{2} - 2 a - 10\) , \( -2 a^{4} + a^{3} + 9 a^{2} - 3 a - 9\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph