Space of modular forms of level 112, weight 5, and Character 112.o

• Label: 112.5.o
• Level: $112$
• Weight: $5$
• Character orbit: 112.o
• Rep. character: $\chi_{112}(23,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $80$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 112 = 2^{4} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 5 \)
Character orbit:	\([\chi]\)	\(=\)	112.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 56 \)
Character field:			\(\Q(\zeta_{6})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(80\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{5}(112, [\chi])\).

	Total	New	Old
Modular forms	136	0	136
Cusp forms	120	0	120
Eisenstein series	16	0	16

Decomposition of \(S_{5}^{\mathrm{old}}(112, [\chi])\) into lower level spaces

\( S_{5}^{\mathrm{old}}(112, [\chi]) \simeq \) \(S_{5}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 2}\)