Space of modular forms of level 6041, weight 2, and Character 6041.o

• Label: 6041.2.o
• Level: $6041$
• Weight: $2$
• Character orbit: 6041.o
• Rep. character: $\chi_{6041}(5,\cdot)$
• Character field: $\Q(\zeta_{2586})$
• Dimension: $493640$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 6041 = 7 \cdot 863 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6041.o (of order \(2586\) and degree \(860\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6041 \)
Character field:			\(\Q(\zeta_{2586})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6041, [\chi])\).

	Total	New	Old
Modular forms	497080	497080	0
Cusp forms	493640	493640	0
Eisenstein series	3440	3440	0

Decomposition of \(S_{2}^{\mathrm{new}}(6041, [\chi])\) into newform subspaces

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