Space of modular forms of level 2001, weight 2, and Character 2001.v

• Label: 2001.2.v
• Level: $2001$
• Weight: $2$
• Character orbit: 2001.v
• Rep. character: $\chi_{2001}(86,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $2360$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 2001 = 3 \cdot 23 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2001.v (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2001 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2001, [\chi])\).

	Total	New	Old
Modular forms	2440	2440	0
Cusp forms	2360	2360	0
Eisenstein series	80	80	0

Trace form

\( 2360 q - 268 q^{4} - 8 q^{6} - 44 q^{7} - 10 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2001, [\chi])\) into newform subspaces

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