Space of modular forms of level 4005, weight 2, and Character 4005.dt

• Label: 4005.2.dt
• Level: $4005$
• Weight: $2$
• Character orbit: 4005.dt
• Rep. character: $\chi_{4005}(2,\cdot)$
• Character field: $\Q(\zeta_{132})$
• Dimension: $21440$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 4005 = 3^{2} \cdot 5 \cdot 89 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4005.dt (of order \(132\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4005 \)
Character field:			\(\Q(\zeta_{132})\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4005, [\chi])\).

	Total	New	Old
Modular forms	21760	21760	0
Cusp forms	21440	21440	0
Eisenstein series	320	320	0

Decomposition of \(S_{2}^{\mathrm{new}}(4005, [\chi])\) into newform subspaces

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