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

• Label: 2001.2.o
• Level: $2001$
• Weight: $2$
• Character orbit: 2001.o
• Rep. character: $\chi_{2001}(689,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $1416$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 2001 = 3 \cdot 23 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2001.o (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2001 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(480\)

Dimensions

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

	Total	New	Old
Modular forms	1464	1464	0
Cusp forms	1416	1416	0
Eisenstein series	48	48	0

Trace form

\( 1416 q - 14 q^{3} - 252 q^{4} - 28 q^{6} - 2 q^{9} + O(q^{10}) \)

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

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