Space of modular forms of level 6003, weight 2, and Character 6003.do

• Label: 6003.2.do
• Level: $6003$
• Weight: $2$
• Character orbit: 6003.do
• Rep. character: $\chi_{6003}(2,\cdot)$
• Character field: $\Q(\zeta_{924})$
• Dimension: $171840$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 6003 = 3^{2} \cdot 23 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6003.do (of order \(924\) and degree \(240\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6003 \)
Character field:			\(\Q(\zeta_{924})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6003, [\chi])\).

	Total	New	Old
Modular forms	173760	173760	0
Cusp forms	171840	171840	0
Eisenstein series	1920	1920	0

Decomposition of \(S_{2}^{\mathrm{new}}(6003, [\chi])\) into newform subspaces

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