Space of modular forms of level 95, weight 11, and Character 95.j

• Label: 95.11.j
• Level: $95$
• Weight: $11$
• Character orbit: 95.j
• Rep. character: $\chi_{95}(31,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $136$
• Newform subspaces: $1$
• Sturm bound: $110$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 11 \)
Character orbit:	\([\chi]\)	\(=\)	95.j (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 19 \)
Character field:			\(\Q(\zeta_{6})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(110\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{11}(95, [\chi])\).

	Total	New	Old
Modular forms	204	136	68
Cusp forms	196	136	60
Eisenstein series	8	0	8

Trace form

\( 136 q - 132 q^{3} + 37474 q^{4} - 1022 q^{6} - 76620 q^{7} + 1448988 q^{9} + O(q^{10}) \)

Decomposition of \(S_{11}^{\mathrm{new}}(95, [\chi])\) 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
95.11.j.a	$95$	$11$	95.j	19.d	$6$	$136$	$68$	$60.359$		None		$2$	$0$	\(0\)	\(-132\)	\(0\)	\(-76620\)		$\mathrm{SU}(2)[C_{6}]$

Decomposition of \(S_{11}^{\mathrm{old}}(95, [\chi])\) into lower level spaces

\( S_{11}^{\mathrm{old}}(95, [\chi]) \cong \) \(S_{11}^{\mathrm{new}}(19, [\chi])\)\(^{\oplus 2}\)