Properties

Label 6.6.1528713.1-64.1-a
Base field 6.6.1528713.1
Weight $[2, 2, 2, 2, 2, 2]$
Level norm $64$
Level $[64, 2, 2]$
Dimension $1$
CM no
Base change no

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Base field 6.6.1528713.1

Generator \(w\), with minimal polynomial \(x^{6} - 3x^{5} - 3x^{4} + 7x^{3} + 3x^{2} - 3x - 1\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2, 2, 2]$
Level: $[64, 2, 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $58$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
8 $[8, 2, w^{5} - 4w^{4} + 9w^{2} - w - 3]$ $\phantom{-}1$
8 $[8, 2, w^{4} - 3w^{3} - 2w^{2} + 5w]$ $\phantom{-}1$
9 $[9, 3, -w^{5} + 3w^{4} + 3w^{3} - 7w^{2} - 2w + 1]$ $-4$
19 $[19, 19, -w^{5} + 3w^{4} + 3w^{3} - 7w^{2} - 3w + 1]$ $\phantom{-}6$
19 $[19, 19, -w + 2]$ $-1$
37 $[37, 37, 2w^{5} - 6w^{4} - 5w^{3} + 11w^{2} + 3w - 2]$ $-11$
37 $[37, 37, -w^{3} + 3w^{2} + w - 3]$ $\phantom{-}10$
53 $[53, 53, -w^{5} + 2w^{4} + 4w^{3} - 2w - 2]$ $-9$
53 $[53, 53, 2w^{5} - 7w^{4} - 2w^{3} + 14w^{2} - 2w - 5]$ $-9$
53 $[53, 53, 2w^{5} - 6w^{4} - 5w^{3} + 12w^{2} + 2w - 3]$ $-2$
53 $[53, 53, -4w^{5} + 14w^{4} + 4w^{3} - 27w^{2} + 4w + 6]$ $\phantom{-}12$
71 $[71, 71, -w^{5} + 2w^{4} + 5w^{3} - 3w^{2} - 3w - 1]$ $-5$
71 $[71, 71, 2w^{5} - 8w^{4} + w^{3} + 16w^{2} - 7w - 6]$ $\phantom{-}16$
73 $[73, 73, -3w^{5} + 10w^{4} + 5w^{3} - 20w^{2} - 2w + 6]$ $\phantom{-}4$
73 $[73, 73, -w^{5} + 3w^{4} + 2w^{3} - 4w^{2} - 2]$ $-3$
73 $[73, 73, w^{3} - 3w^{2} - 2w + 2]$ $-3$
73 $[73, 73, w^{4} - 2w^{3} - 5w^{2} + 4w + 4]$ $-10$
89 $[89, 89, -w^{5} + 3w^{4} + 2w^{3} - 5w^{2} + 3]$ $\phantom{-}6$
89 $[89, 89, 3w^{5} - 10w^{4} - 5w^{3} + 21w^{2} - 5]$ $\phantom{-}6$
107 $[107, 107, 2w^{5} - 6w^{4} - 5w^{3} + 12w^{2} + 2w - 2]$ $\phantom{-}3$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$8$ $[8,2,w^{5}-4w^{4}+9w^{2}-w-3]$ $-1$
$8$ $[8,2,w^{4}-3w^{3}-2w^{2}+5w]$ $-1$