Space of modular forms of level 277, weight 2, and Character 277.g

• Label: 277.2.g
• Level: $277$
• Weight: $2$
• Character orbit: 277.g
• Rep. character: $\chi_{277}(16,\cdot)$
• Character field: $\Q(\zeta_{23})$
• Dimension: $462$
• Newform subspaces: $1$
• Sturm bound: $46$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 277 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	277.g (of order \(23\) and degree \(22\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 277 \)
Character field:			\(\Q(\zeta_{23})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(46\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(277, [\chi])\).

	Total	New	Old
Modular forms	506	506	0
Cusp forms	462	462	0
Eisenstein series	44	44	0

Trace form

\( 462 q - 18 q^{2} - 19 q^{3} - 36 q^{4} - 15 q^{5} - 11 q^{6} - 11 q^{7} - 2 q^{8} - 36 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(277, [\chi])\) 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
277.2.g.a	$277$	$2$	277.g	277.g	$23$	$462$	$21$	$2.212$		None		$2$	$0$	\(-18\)	\(-19\)	\(-15\)	\(-11\)		$\mathrm{SU}(2)[C_{23}]$