Space of modular forms of level 112, weight 10, and Character 112.t

• Label: 112.10.t
• Level: $112$
• Weight: $10$
• Character orbit: 112.t
• Rep. character: $\chi_{112}(9,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $160$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 112 = 2^{4} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	112.t (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 56 \)
Character field:			\(\Q(\zeta_{6})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(160\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{10}(112, [\chi])\).

	Total	New	Old
Modular forms	296	0	296
Cusp forms	280	0	280
Eisenstein series	16	0	16

Decomposition of \(S_{10}^{\mathrm{old}}(112, [\chi])\) into lower level spaces

\( S_{10}^{\mathrm{old}}(112, [\chi]) \cong \) \(S_{10}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 2}\)