Space of modular forms of level 235, weight 4, and Character 235.l

• Label: 235.4.l
• Level: $235$
• Weight: $4$
• Character orbit: 235.l
• Rep. character: $\chi_{235}(13,\cdot)$
• Character field: $\Q(\zeta_{92})$
• Dimension: $3080$
• Newform subspaces: $1$
• Sturm bound: $96$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 235 = 5 \cdot 47 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	235.l (of order \(92\) and degree \(44\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 235 \)
Character field:			\(\Q(\zeta_{92})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(96\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(235, [\chi])\).

	Total	New	Old
Modular forms	3256	3256	0
Cusp forms	3080	3080	0
Eisenstein series	176	176	0

Trace form

\( 3080 q - 42 q^{2} - 34 q^{3} - 46 q^{5} - 44 q^{6} - 34 q^{7} - 158 q^{8} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(235, [\chi])\) 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
235.4.l.a	$235$	$4$	235.l	235.l	$92$	$3080$	$70$	$13.865$		None		$4$	$0$	\(-42\)	\(-34\)	\(-46\)	\(-34\)		$\mathrm{SU}(2)[C_{92}]$