Space of modular forms of level 4003, weight 2, and Character 4003.i

• Label: 4003.2.i
• Level: $4003$
• Weight: $2$
• Character orbit: 4003.i
• Rep. character: $\chi_{4003}(129,\cdot)$
• Character field: $\Q(\zeta_{69})$
• Dimension: $14652$
• Sturm bound: $667$

Defining parameters

Level:	\( N \)	\(=\)	\( 4003 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4003.i (of order \(69\) and degree \(44\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4003 \)
Character field:			\(\Q(\zeta_{69})\)
Sturm bound:			\(667\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4003, [\chi])\).

	Total	New	Old
Modular forms	14740	14740	0
Cusp forms	14652	14652	0
Eisenstein series	88	88	0

Decomposition of \(S_{2}^{\mathrm{new}}(4003, [\chi])\) into newform subspaces

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