Space of modular forms of level 927, weight 1, and Character 927.v

• Label: 927.1.v
• Level: $927$
• Weight: $1$
• Character orbit: 927.v
• Rep. character: $\chi_{927}(10,\cdot)$
• Character field: $\Q(\zeta_{34})$
• Dimension: $16$
• Newform subspaces: $1$
• Sturm bound: $104$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 927 = 3^{2} \cdot 103 \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	927.v (of order \(34\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 103 \)
Character field:			\(\Q(\zeta_{34})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(104\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(927, [\chi])\).

	Total	New	Old
Modular forms	80	32	48
Cusp forms	16	16	0
Eisenstein series	64	16	48

The following table gives the dimensions of subspaces with specified projective image type.

	\(D_n\)	\(A_4\)	\(S_4\)	\(A_5\)
Dimension	16	0	0	0

Trace form

\( 16 q + q^{4} - 2 q^{7} + O(q^{10}) \)

Decomposition of \(S_{1}^{\mathrm{new}}(927, [\chi])\) into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
927.1.v.a	$927$	$1$	927.v	103.f	$34$	$16$	$1$	$0.463$	\(\Q(\zeta_{34})\)	$D_{34}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{34}^{11}q^{4}+(\zeta_{34}^{2}+\zeta_{34}^{16})q^{7}+\cdots\)