Space of modular forms of level 8003, weight 2, and Character 8003.ck

• Label: 8003.2.ck
• Level: $8003$
• Weight: $2$
• Character orbit: 8003.ck
• Rep. character: $\chi_{8003}(75,\cdot)$
• Character field: $\Q(\zeta_{780})$
• Dimension: $130944$
• Sturm bound: $1368$

Defining parameters

Level:	\( N \)	\(=\)	\( 8003 = 53 \cdot 151 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8003.ck (of order \(780\) and degree \(192\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8003 \)
Character field:			\(\Q(\zeta_{780})\)
Sturm bound:			\(1368\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8003, [\chi])\).

	Total	New	Old
Modular forms	131712	131712	0
Cusp forms	130944	130944	0
Eisenstein series	768	768	0

Decomposition of \(S_{2}^{\mathrm{new}}(8003, [\chi])\) into newform subspaces

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