Space of modular forms of level 5077, weight 2, and Character 5077.t

• Label: 5077.2.t
• Level: $5077$
• Weight: $2$
• Character orbit: 5077.t
• Rep. character: $\chi_{5077}(3,\cdot)$
• Character field: $\Q(\zeta_{846})$
• Dimension: $116472$
• Sturm bound: $846$

Defining parameters

Level:	\( N \)	\(=\)	\( 5077 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	5077.t (of order \(846\) and degree \(276\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 5077 \)
Character field:			\(\Q(\zeta_{846})\)
Sturm bound:			\(846\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5077, [\chi])\).

	Total	New	Old
Modular forms	117024	117024	0
Cusp forms	116472	116472	0
Eisenstein series	552	552	0

Decomposition of \(S_{2}^{\mathrm{new}}(5077, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.