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

• Label: 4001.2.i
• Level: $4001$
• Weight: $2$
• Character orbit: 4001.i
• Rep. character: $\chi_{4001}(196,\cdot)$
• Character field: $\Q(\zeta_{25})$
• Dimension: $6640$
• Sturm bound: $667$

Defining parameters

Level:	\( N \)	\(=\)	\( 4001 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4001.i (of order \(25\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4001 \)
Character field:			\(\Q(\zeta_{25})\)
Sturm bound:			\(667\)

Dimensions

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

	Total	New	Old
Modular forms	6680	6680	0
Cusp forms	6640	6640	0
Eisenstein series	40	40	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.