Space of modular forms of level 4001, weight 2, and Character 4001.t

• Label: 4001.2.t
• Level: $4001$
• Weight: $2$
• Character orbit: 4001.t
• Rep. character: $\chi_{4001}(4,\cdot)$
• Character field: $\Q(\zeta_{500})$
• Dimension: $66400$
• Sturm bound: $667$

Defining parameters

Level:	\( N \)	\(=\)	\( 4001 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4001.t (of order \(500\) and degree \(200\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4001 \)
Character field:			\(\Q(\zeta_{500})\)
Sturm bound:			\(667\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4001, [\chi])\).

	Total	New	Old
Modular forms	66800	66800	0
Cusp forms	66400	66400	0
Eisenstein series	400	400	0

Decomposition of \(S_{2}^{\mathrm{new}}(4001, [\chi])\) into newform subspaces

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