Hilbert cusp form 3.3.257.1-27.1-a

• Label: 3.3.257.1-27.1-a
• Base field: 3.3.257.1
• Weight: $[2, 2, 2]$
• Level norm: $27$
• Level: $[27, 3, 3]$
• Dimension: $1$
• CM: no
• Base change: no

Base field 3.3.257.1

Generator $w$, with minimal polynomial $x^3 - x^2 - 4 x + 3$; narrow class number $2$ and class number $1$.

Form

Weight:	$[2, 2, 2]$
Level:	$[27, 3, 3]$
Dimension:	$1$
CM:	no
Base change:	no
Newspace dimension:	$4$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.

Norm	Prime	Eigenvalue
3	$[3, 3, w]$	$-1$
5	$[5, 5, w + 1]$	$\phantom{-}4$
7	$[7, 7, -w^2 + 2]$	$-3$
8	$[8, 2, 2]$	$\phantom{-}4$
9	$[9, 3, -w^2 + w + 4]$	$\phantom{-}1$
19	$[19, 19, w^2 + w - 4]$	$-5$
25	$[25, 5, -w^2 + 2 w + 2]$	$-1$
37	$[37, 37, 2 w + 1]$	$-3$
41	$[41, 41, -2 w^2 - w + 7]$	$\phantom{-}12$
43	$[43, 43, -2 w^2 + 5]$	$-9$
47	$[47, 47, 3 w - 4]$	$-12$
49	$[49, 7, 2 w^2 - w - 5]$	$\phantom{-}5$
53	$[53, 53, -2 w^2 + 2 w + 7]$	$\phantom{-}6$
61	$[61, 61, -w^2 - 3 w + 4]$	$-13$
61	$[61, 61, 3 w^2 - w - 10]$	$-7$
61	$[61, 61, w^2 - 2 w - 4]$	$-2$
67	$[67, 67, 2 w^2 - w - 4]$	$-8$
67	$[67, 67, 2 w^2 - w - 2]$	$-3$
67	$[67, 67, w^2 + 2 w - 5]$	$\phantom{-}13$
71	$[71, 71, -2 w^2 - w + 10]$	$\phantom{-}2$

Display number of eigenvalues

Atkin-Lehner eigenvalues

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