Space of modular forms of level 6047, weight 2, and Character 6047.c

• Label: 6047.2.c
• Level: $6047$
• Weight: $2$
• Character orbit: 6047.c
• Rep. character: $\chi_{6047}(2,\cdot)$
• Character field: $\Q(\zeta_{3023})$
• Dimension: $1520066$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 6047 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6047.c (of order \(3023\) and degree \(3022\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6047 \)
Character field:			\(\Q(\zeta_{3023})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6047, [\chi])\).

	Total	New	Old
Modular forms	1526110	1526110	0
Cusp forms	1520066	1520066	0
Eisenstein series	6044	6044	0

Decomposition of \(S_{2}^{\mathrm{new}}(6047, [\chi])\) into newform subspaces

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