Space of modular forms of level 6013, weight 2, and Character 6013.cp

• Label: 6013.2.cp
• Level: $6013$
• Weight: $2$
• Character orbit: 6013.cp
• Rep. character: $\chi_{6013}(4,\cdot)$
• Character field: $\Q(\zeta_{429})$
• Dimension: $137040$
• Sturm bound: $1146$

Defining parameters

Level:	\( N \)	\(=\)	\( 6013 = 7 \cdot 859 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6013.cp (of order \(429\) and degree \(240\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6013 \)
Character field:			\(\Q(\zeta_{429})\)
Sturm bound:			\(1146\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6013, [\chi])\).

	Total	New	Old
Modular forms	138000	138000	0
Cusp forms	137040	137040	0
Eisenstein series	960	960	0

Decomposition of \(S_{2}^{\mathrm{new}}(6013, [\chi])\) into newform subspaces

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