Space of modular forms of level 925, weight 2, and Character 925.bl

• Label: 925.2.bl
• Level: $925$
• Weight: $2$
• Character orbit: 925.bl
• Rep. character: $\chi_{925}(64,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $736$
• Newform subspaces: $1$
• Sturm bound: $190$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 925 = 5^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	925.bl (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 925 \)
Character field:			\(\Q(\zeta_{30})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(190\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(925, [\chi])\).

	Total	New	Old
Modular forms	768	768	0
Cusp forms	736	736	0
Eisenstein series	32	32	0

Trace form

\( 736 q - 15 q^{2} - 5 q^{3} + 85 q^{4} - 18 q^{5} - 85 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(925, [\chi])\) into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
925.2.bl.a	$925$	$2$	925.bl	925.al	$30$	$736$	$92$	$7.386$		None		$4$	$0$	\(-15\)	\(-5\)	\(-18\)	\(0\)		$\mathrm{SU}(2)[C_{30}]$