Hilbert cusp form 2.2.5.1-2916.1-e

• Label: 2.2.5.1-2916.1-e
• Base field: $\Q(\sqrt{5})$
• Weight: $[2, 2]$
• Level norm: $2916$
• Level: $[2916, 54, 54]$
• Dimension: $1$
• CM: no
• Base change: no

Base field $\Q(\sqrt{5})$

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

Form

Weight:	$[2, 2]$
Level:	$[2916, 54, 54]$
Dimension:	$1$
CM:	no
Base change:	no
Newspace dimension:	$32$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.

Norm	Prime	Eigenvalue
4	$[4, 2, 2]$	$-1$
5	$[5, 5, -2 w + 1]$	$\phantom{-}2$
9	$[9, 3, 3]$	$\phantom{-}0$
11	$[11, 11, -3 w + 2]$	$-1$
11	$[11, 11, -3 w + 1]$	$\phantom{-}2$
19	$[19, 19, -4 w + 3]$	$\phantom{-}0$
19	$[19, 19, -4 w + 1]$	$\phantom{-}3$
29	$[29, 29, w + 5]$	$\phantom{-}3$
29	$[29, 29, -w + 6]$	$\phantom{-}6$
31	$[31, 31, -5 w + 2]$	$-2$
31	$[31, 31, -5 w + 3]$	$\phantom{-}1$
41	$[41, 41, -6 w + 5]$	$-7$
41	$[41, 41, w - 7]$	$\phantom{-}11$
49	$[49, 7, -7]$	$-2$
59	$[59, 59, 2 w - 9]$	$\phantom{-}5$
59	$[59, 59, 7 w - 5]$	$-4$
61	$[61, 61, 3 w - 10]$	$-7$
61	$[61, 61, -3 w - 7]$	$\phantom{-}5$
71	$[71, 71, -8 w + 7]$	$\phantom{-}12$
71	$[71, 71, w - 9]$	$\phantom{-}9$

Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm	Prime	Eigenvalue
$4$	$[4, 2, 2]$	$1$
$9$	$[9, 3, 3]$	$1$