Space of modular forms of level 2640, weight 2, and Character 2640.cm

• Label: 2640.2.cm
• Level: $2640$
• Weight: $2$
• Character orbit: 2640.cm
• Rep. character: $\chi_{2640}(2243,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1136$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2640 = 2^{4} \cdot 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2640.cm (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2640 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2640, [\chi])\).

	Total	New	Old
Modular forms	1168	1168	0
Cusp forms	1136	1136	0
Eisenstein series	32	32	0

Trace form

\( 1136 q - 8 q^{3} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2640, [\chi])\) into newform subspaces

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