Space of modular forms of level 6017, weight 2, and Character 6017.cl

• Label: 6017.2.cl
• Level: $6017$
• Weight: $2$
• Character orbit: 6017.cl
• Rep. character: $\chi_{6017}(2,\cdot)$
• Character field: $\Q(\zeta_{2730})$
• Dimension: $314496$
• Sturm bound: $1096$

Defining parameters

Level:	\( N \)	\(=\)	\( 6017 = 11 \cdot 547 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6017.cl (of order \(2730\) and degree \(576\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6017 \)
Character field:			\(\Q(\zeta_{2730})\)
Sturm bound:			\(1096\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6017, [\chi])\).

	Total	New	Old
Modular forms	316800	316800	0
Cusp forms	314496	314496	0
Eisenstein series	2304	2304	0

Decomposition of \(S_{2}^{\mathrm{new}}(6017, [\chi])\) into newform subspaces

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