Space of modular forms of level 6019, weight 2, and Character 6019.de

• Label: 6019.2.de
• Level: $6019$
• Weight: $2$
• Character orbit: 6019.de
• Rep. character: $\chi_{6019}(730,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $12936$
• Sturm bound: $1082$

Defining parameters

Level:	\( N \)	\(=\)	\( 6019 = 13 \cdot 463 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6019.de (of order \(84\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6019 \)
Character field:			\(\Q(\zeta_{84})\)
Sturm bound:			\(1082\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6019, [\chi])\).

	Total	New	Old
Modular forms	13032	13032	0
Cusp forms	12936	12936	0
Eisenstein series	96	96	0

Decomposition of \(S_{2}^{\mathrm{new}}(6019, [\chi])\) into newform subspaces

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