Hilbert cusp form 2.2.24.1-450.3-f

• Label: 2.2.24.1-450.3-f
• Base field: $\Q(\sqrt{6})$
• Weight: $[2, 2]$
• Level norm: $450$
• Level: $[450,150,9 w + 6]$
• Dimension: $1$
• CM: no
• Base change: no

Base field $\Q(\sqrt{6})$

Generator $w$, with minimal polynomial $x^2 - 6$; narrow class number $2$ and class number $1$.

Form

Weight:	$[2, 2]$
Level:	$[450,150,9 w + 6]$
Dimension:	$1$
CM:	no
Base change:	no
Newspace dimension:	$24$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.

Norm	Prime	Eigenvalue
2	$[2, 2, -w + 2]$	$-1$
3	$[3, 3, w - 3]$	$\phantom{-}0$
5	$[5, 5, w + 1]$	$\phantom{-}4$
5	$[5, 5, w - 1]$	$\phantom{-}0$
19	$[19, 19, w + 5]$	$-6$
19	$[19, 19, -w + 5]$	$\phantom{-}4$
23	$[23, 23, -2 w + 1]$	$\phantom{-}4$
23	$[23, 23, -2 w - 1]$	$-6$
29	$[29, 29, -3 w + 5]$	$\phantom{-}6$
29	$[29, 29, -3 w - 5]$	$-2$
43	$[43, 43, -w - 7]$	$\phantom{-}8$
43	$[43, 43, w - 7]$	$-4$
47	$[47, 47, 4 w - 7]$	$\phantom{-}4$
47	$[47, 47, 6 w - 13]$	$\phantom{-}8$
49	$[49, 7, -7]$	$\phantom{-}4$
53	$[53, 53, -3 w - 1]$	$\phantom{-}10$
53	$[53, 53, 3 w - 1]$	$\phantom{-}6$
67	$[67, 67, -7 w + 19]$	$-10$
67	$[67, 67, -3 w + 11]$	$\phantom{-}0$
71	$[71, 71, -4 w - 5]$	$\phantom{-}6$

Display number of eigenvalues

Atkin-Lehner eigenvalues

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