Properties

Label 6.6.1868969.1-34.1-d
Base field 6.6.1868969.1
Weight $[2, 2, 2, 2, 2, 2]$
Level norm $34$
Level $[34, 34, -w^{5} + w^{4} + 4w^{3} - 3w^{2} - 2w + 2]$
Dimension $1$
CM no
Base change no

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Base field 6.6.1868969.1

Generator \(w\), with minimal polynomial \(x^{6} - 6x^{4} - x^{3} + 8x^{2} + x - 2\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2, 2, 2]$
Level: $[34, 34, -w^{5} + w^{4} + 4w^{3} - 3w^{2} - 2w + 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $32$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w]$ $-1$
13 $[13, 13, -w^{2} + 3]$ $\phantom{-}5$
17 $[17, 17, -w^{5} + w^{4} + 5w^{3} - 3w^{2} - 5w + 1]$ $\phantom{-}1$
23 $[23, 23, w^{4} - w^{3} - 4w^{2} + 2w + 1]$ $-3$
31 $[31, 31, w^{5} - w^{4} - 6w^{3} + 5w^{2} + 7w - 5]$ $\phantom{-}1$
32 $[32, 2, w^{5} - 6w^{3} - w^{2} + 8w + 1]$ $-1$
43 $[43, 43, w^{4} - 5w^{2} + 3]$ $\phantom{-}4$
47 $[47, 47, -w^{4} + w^{3} + 5w^{2} - 2w - 5]$ $-12$
49 $[49, 7, -w^{5} + w^{4} + 5w^{3} - 3w^{2} - 4w - 1]$ $-1$
53 $[53, 53, w^{5} - 2w^{4} - 5w^{3} + 9w^{2} + 5w - 7]$ $-9$
59 $[59, 59, w^{5} - w^{4} - 6w^{3} + 4w^{2} + 7w - 3]$ $\phantom{-}1$
71 $[71, 71, w^{5} - w^{4} - 5w^{3} + 4w^{2} + 4w - 5]$ $-14$
79 $[79, 79, w^{3} - w^{2} - 4w + 1]$ $\phantom{-}3$
83 $[83, 83, w^{5} - 6w^{3} - w^{2} + 7w - 1]$ $\phantom{-}5$
83 $[83, 83, 2w^{5} - w^{4} - 11w^{3} + 2w^{2} + 12w + 1]$ $\phantom{-}2$
89 $[89, 89, -w^{5} + w^{4} + 4w^{3} - 2w^{2} - w - 1]$ $\phantom{-}8$
89 $[89, 89, -w^{5} + w^{4} + 5w^{3} - 3w^{2} - 4w + 3]$ $-11$
89 $[89, 89, w^{5} + w^{4} - 6w^{3} - 6w^{2} + 6w + 3]$ $-6$
89 $[89, 89, 2w^{4} - w^{3} - 9w^{2} + w + 5]$ $-3$
101 $[101, 101, w^{5} - 5w^{3} - w^{2} + 5w - 1]$ $\phantom{-}15$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -w]$ $1$
$17$ $[17, 17, -w^{5} + w^{4} + 5w^{3} - 3w^{2} - 5w + 1]$ $-1$