Properties

Label 6.6.905177.1-1.1-a
Base field 6.6.905177.1
Weight $[2, 2, 2, 2, 2, 2]$
Level norm $1$
Level $[1, 1, 1]$
Dimension $1$
CM no
Base change yes

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Base field 6.6.905177.1

Generator \(w\), with minimal polynomial \(x^{6} - x^{5} - 7x^{4} + 9x^{3} + 7x^{2} - 9x - 1\); narrow class number \(2\) and class number \(1\).

Form

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

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
8 $[8, 2, -2w^{5} - w^{4} + 13w^{3} + w^{2} - 16w - 1]$ $\phantom{-}1$
8 $[8, 2, -3w^{5} - w^{4} + 19w^{3} - 2w^{2} - 20w + 1]$ $\phantom{-}1$
13 $[13, 13, -w^{2} + 3]$ $\phantom{-}6$
29 $[29, 29, -w^{5} - w^{4} + 5w^{3} + 2w^{2} - 3w - 1]$ $-10$
41 $[41, 41, -2w^{5} + 13w^{3} - 4w^{2} - 12w]$ $\phantom{-}2$
41 $[41, 41, 4w^{5} + 2w^{4} - 25w^{3} - 2w^{2} + 26w + 5]$ $\phantom{-}2$
43 $[43, 43, -w^{2} - w + 2]$ $-4$
43 $[43, 43, 2w^{5} + w^{4} - 13w^{3} - 2w^{2} + 14w + 5]$ $-4$
43 $[43, 43, -w^{5} + 7w^{3} - w^{2} - 8w - 3]$ $-4$
43 $[43, 43, 2w^{5} + w^{4} - 13w^{3} - 2w^{2} + 15w + 3]$ $-4$
49 $[49, 7, -w^{5} - w^{4} + 6w^{3} + 3w^{2} - 7w]$ $\phantom{-}10$
71 $[71, 71, -5w^{5} - 2w^{4} + 32w^{3} - w^{2} - 35w - 2]$ $-8$
71 $[71, 71, 2w^{5} + w^{4} - 13w^{3} - 2w^{2} + 14w + 6]$ $\phantom{-}8$
71 $[71, 71, -3w^{5} - 2w^{4} + 19w^{3} + 5w^{2} - 22w - 7]$ $\phantom{-}8$
71 $[71, 71, 4w^{5} + 2w^{4} - 25w^{3} - 2w^{2} + 26w + 6]$ $-8$
83 $[83, 83, -2w^{5} - w^{4} + 12w^{3} - 12w + 1]$ $\phantom{-}4$
83 $[83, 83, -2w^{5} - w^{4} + 13w^{3} - 16w + 1]$ $\phantom{-}4$
83 $[83, 83, -4w^{5} - 2w^{4} + 26w^{3} + 3w^{2} - 29w - 6]$ $\phantom{-}4$
83 $[83, 83, 2w^{5} - 13w^{3} + 5w^{2} + 13w - 1]$ $\phantom{-}4$
97 $[97, 97, -3w^{5} + 20w^{3} - 8w^{2} - 22w + 5]$ $\phantom{-}2$
Display number of eigenvalues

Atkin-Lehner eigenvalues

This form has no Atkin-Lehner eigenvalues since the level is \((1)\).