Space of modular forms of level 2040, weight 2, and Character 2040.cg

• Label: 2040.2.cg
• Level: $2040$
• Weight: $2$
• Character orbit: 2040.cg
• Rep. character: $\chi_{2040}(659,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $848$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2040 = 2^{3} \cdot 3 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2040.cg (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2040 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2040, [\chi])\).

	Total	New	Old
Modular forms	880	880	0
Cusp forms	848	848	0
Eisenstein series	32	32	0

Trace form

\( 848 q - 16 q^{4} + 4 q^{6} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2040, [\chi])\) into newform subspaces

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