Space of modular forms of level 935, weight 2, and Character 935.bj

• Label: 935.2.bj
• Level: $935$
• Weight: $2$
• Character orbit: 935.bj
• Rep. character: $\chi_{935}(69,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $384$
• Newform subspaces: $1$
• Sturm bound: $216$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 935 = 5 \cdot 11 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	935.bj (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 55 \)
Character field:			\(\Q(\zeta_{10})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(216\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(935, [\chi])\).

	Total	New	Old
Modular forms	448	384	64
Cusp forms	416	384	32
Eisenstein series	32	0	32

Trace form

\( 384 q + 96 q^{4} + 2 q^{5} + 8 q^{6} + 92 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(935, [\chi])\) 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
935.2.bj.a	$935$	$2$	935.bj	55.j	$10$	$384$	$96$	$7.466$		None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$\mathrm{SU}(2)[C_{10}]$

Decomposition of \(S_{2}^{\mathrm{old}}(935, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(935, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 2}\)