Space of modular forms of level 92, weight 3, and Character 92.c

• Label: 92.3.c
• Level: $92$
• Weight: $3$
• Character orbit: 92.c
• Rep. character: $\chi_{92}(47,\cdot)$
• Character field: $\Q$
• Dimension: $22$
• Newform subspaces: $1$
• Sturm bound: $36$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	92.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4 \)
Character field:			\(\Q\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(36\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(92, [\chi])\).

	Total	New	Old
Modular forms	26	22	4
Cusp forms	22	22	0
Eisenstein series	4	0	4

Trace form

\( 22 q - 4 q^{5} - 3 q^{6} - 3 q^{8} - 58 q^{9} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(92, [\chi])\) 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
92.3.c.a	$92$	$3$	92.c	4.b	$2$	$22$	$22$	$2.507$		None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$