Space of modular forms of level 6037, weight 2, and Character 6037.i

• Label: 6037.2.i
• Level: $6037$
• Weight: $2$
• Character orbit: 6037.i
• Rep. character: $\chi_{6037}(9,\cdot)$
• Character field: $\Q(\zeta_{1509})$
• Dimension: $504008$
• Sturm bound: $1006$

Defining parameters

Level:	\( N \)	\(=\)	\( 6037 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6037.i (of order \(1509\) and degree \(1004\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6037 \)
Character field:			\(\Q(\zeta_{1509})\)
Sturm bound:			\(1006\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6037, [\chi])\).

	Total	New	Old
Modular forms	506016	506016	0
Cusp forms	504008	504008	0
Eisenstein series	2008	2008	0

Decomposition of \(S_{2}^{\mathrm{new}}(6037, [\chi])\) into newform subspaces

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