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

• Label: 8003.2.cn
• Level: $8003$
• Weight: $2$
• Character orbit: 8003.cn
• Rep. character: $\chi_{8003}(3,\cdot)$
• Character field: $\Q(\zeta_{1300})$
• Dimension: $327360$
• Sturm bound: $1368$

Defining parameters

Level:	\( N \)	\(=\)	\( 8003 = 53 \cdot 151 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8003.cn (of order \(1300\) and degree \(480\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8003 \)
Character field:			\(\Q(\zeta_{1300})\)
Sturm bound:			\(1368\)

Dimensions

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

	Total	New	Old
Modular forms	329280	329280	0
Cusp forms	327360	327360	0
Eisenstein series	1920	1920	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.