Space of modular forms of level 931, weight 2, and Character 931.cc

• Label: 931.2.cc
• Level: $931$
• Weight: $2$
• Character orbit: 931.cc
• Rep. character: $\chi_{931}(36,\cdot)$
• Character field: $\Q(\zeta_{63})$
• Dimension: $3312$
• Newform subspaces: $1$
• Sturm bound: $186$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 931 = 7^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	931.cc (of order \(63\) and degree \(36\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 931 \)
Character field:			\(\Q(\zeta_{63})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(186\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(931, [\chi])\).

	Total	New	Old
Modular forms	3456	3456	0
Cusp forms	3312	3312	0
Eisenstein series	144	144	0

Trace form

\( 3312 q - 30 q^{2} - 30 q^{3} - 30 q^{4} - 30 q^{5} - 30 q^{6} - 21 q^{7} - 15 q^{8} - 30 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(931, [\chi])\) 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
931.2.cc.a	$931$	$2$	931.cc	931.bc	$63$	$3312$	$92$	$7.434$		None		$4$	$0$	\(-30\)	\(-30\)	\(-30\)	\(-21\)		$\mathrm{SU}(2)[C_{63}]$