Space of modular forms of level 1001, weight 2, and Character 1001.g

• Label: 1001.2.g
• Level: $1001$
• Weight: $2$
• Character orbit: 1001.g
• Rep. character: $\chi_{1001}(1000,\cdot)$
• Character field: $\Q$
• Dimension: $108$
• Sturm bound: $224$

Defining parameters

Level:	\( N \)	\(=\)	\( 1001 = 7 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1001.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1001 \)
Character field:			\(\Q\)
Sturm bound:			\(224\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1001, [\chi])\).

	Total	New	Old
Modular forms	116	116	0
Cusp forms	108	108	0
Eisenstein series	8	8	0

Trace form

\( 108 q + 96 q^{4} - 116 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1001, [\chi])\) into newform subspaces

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