Space of modular forms of level 6043, weight 2, and Character 6043.o

• Label: 6043.2.o
• Level: $6043$
• Weight: $2$
• Character orbit: 6043.o
• Rep. character: $\chi_{6043}(6,\cdot)$
• Character field: $\Q(\zeta_{3021})$
• Dimension: $941616$
• Sturm bound: $1007$

Defining parameters

Level:	\( N \)	\(=\)	\( 6043 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6043.o (of order \(3021\) and degree \(1872\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6043 \)
Character field:			\(\Q(\zeta_{3021})\)
Sturm bound:			\(1007\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6043, [\chi])\).

	Total	New	Old
Modular forms	945360	945360	0
Cusp forms	941616	941616	0
Eisenstein series	3744	3744	0

Decomposition of \(S_{2}^{\mathrm{new}}(6043, [\chi])\) into newform subspaces

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