Space of modular forms of level 2527, weight 1, and Character 2527.be

• Label: 2527.1.be
• Level: $2527$
• Weight: $1$
• Character orbit: 2527.be
• Rep. character: $\chi_{2527}(333,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $6$
• Newform subspaces: $1$
• Sturm bound: $253$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 2527 = 7 \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	2527.be (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 133 \)
Character field:			\(\Q(\zeta_{18})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(253\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2527, [\chi])\).

	Total	New	Old
Modular forms	126	102	24
Cusp forms	6	6	0
Eisenstein series	120	96	24

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

	\(D_n\)	\(A_4\)	\(S_4\)	\(A_5\)
Dimension	6	0	0	0

Trace form

\( 6 q + 6 q^{7} + O(q^{10}) \)

Decomposition of \(S_{1}^{\mathrm{new}}(2527, [\chi])\) 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2527.1.be.a	$2527$	$1$	2527.be	133.ae	$18$	$6$	$1$	$1.261$	\(\Q(\zeta_{18})\)	$D_{3}$	\(\Q(\sqrt{-19}) \)	None		$12$	$0$	\(0\)	\(0\)	\(0\)	\(6\)	$1$		\(q+\zeta_{18}^{8}q^{4}+\zeta_{18}q^{5}+q^{7}+\zeta_{18}^{2}q^{9}+\cdots\)