Hilbert cusp form 2.2.60.1-120.1-b

• Label: 2.2.60.1-120.1-b
• Base field: $\Q(\sqrt{15})$
• Weight: $[2, 2]$
• Level norm: $120$
• Level: $[120, 60, 2 w + 30]$
• Dimension: $1$
• CM: no
• Base change: yes

Base field $\Q(\sqrt{15})$

Generator $w$, with minimal polynomial $x^2 - 15$; narrow class number $4$ and class number $2$.

Form

Weight:	$[2, 2]$
Level:	$[120, 60, 2 w + 30]$
Dimension:	$1$
CM:	no
Base change:	yes
Newspace dimension:	$48$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.

Norm	Prime	Eigenvalue
2	$[2, 2, w + 1]$	$\phantom{-}0$
3	$[3, 3, w]$	$\phantom{-}1$
5	$[5, 5, w]$	$-1$
7	$[7, 7, w + 1]$	$\phantom{-}0$
7	$[7, 7, w + 6]$	$\phantom{-}0$
11	$[11, 11, -w - 2]$	$\phantom{-}4$
11	$[11, 11, w - 2]$	$\phantom{-}4$
17	$[17, 17, w + 7]$	$\phantom{-}6$
17	$[17, 17, w + 10]$	$\phantom{-}6$
43	$[43, 43, w + 12]$	$\phantom{-}12$
43	$[43, 43, w + 31]$	$\phantom{-}12$
53	$[53, 53, w + 11]$	$-6$
53	$[53, 53, w + 42]$	$-6$
59	$[59, 59, 2 w - 1]$	$-12$
59	$[59, 59, -2 w - 1]$	$-12$
61	$[61, 61, 2 w - 11]$	$\phantom{-}14$
61	$[61, 61, -2 w - 11]$	$\phantom{-}14$
67	$[67, 67, w + 22]$	$\phantom{-}4$
67	$[67, 67, w + 45]$	$\phantom{-}4$
71	$[71, 71, 3 w - 8]$	$-8$

Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm	Prime	Eigenvalue
$2$	$[2, 2, w + 1]$	$-1$
$3$	$[3, 3, w]$	$-1$
$5$	$[5, 5, w]$	$1$