Hilbert cusp form 2.2.28.1-504.1-v

• Label: 2.2.28.1-504.1-v
• Base field: $\Q(\sqrt{7})$
• Weight: $[2, 2]$
• Level norm: $504$
• Level: $[504, 84, -18 w + 42]$
• Dimension: $1$
• CM: no
• Base change: yes

Base field $\Q(\sqrt{7})$

Generator $w$, with minimal polynomial $x^2 - 7$; narrow class number $2$ and class number $1$.

Form

Weight:	$[2, 2]$
Level:	$[504, 84, -18 w + 42]$
Dimension:	$1$
CM:	no
Base change:	yes
Newspace dimension:	$24$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.

Norm	Prime	Eigenvalue
2	$[2, 2, w - 3]$	$\phantom{-}0$
3	$[3, 3, w - 2]$	$\phantom{-}1$
3	$[3, 3, w + 2]$	$\phantom{-}1$
7	$[7, 7, w]$	$-1$
19	$[19, 19, 2 w - 3]$	$-4$
19	$[19, 19, 2 w + 3]$	$-4$
25	$[25, 5, 5]$	$-6$
29	$[29, 29, -w - 6]$	$-10$
29	$[29, 29, w - 6]$	$-10$
31	$[31, 31, 4 w + 9]$	$\phantom{-}8$
31	$[31, 31, -4 w + 9]$	$\phantom{-}8$
37	$[37, 37, -3 w + 10]$	$\phantom{-}6$
37	$[37, 37, -6 w + 17]$	$\phantom{-}6$
47	$[47, 47, -3 w - 4]$	$-8$
47	$[47, 47, 3 w - 4]$	$-8$
53	$[53, 53, 2 w - 9]$	$-10$
53	$[53, 53, 2 w + 9]$	$-10$
59	$[59, 59, 3 w - 2]$	$-12$
59	$[59, 59, -3 w - 2]$	$-12$
83	$[83, 83, -6 w - 13]$	$-12$

Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm	Prime	Eigenvalue
$2$	$[2, 2, w - 3]$	$-1$
$3$	$[3, 3, w - 2]$	$-1$
$3$	$[3, 3, w + 2]$	$-1$
$7$	$[7, 7, w]$	$1$