Space of modular forms of level 2940, weight 2, and Character 2940.w

• Label: 2940.2.w
• Level: $2940$
• Weight: $2$
• Character orbit: 2940.w
• Rep. character: $\chi_{2940}(587,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $928$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 2940 = 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2940.w (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 420 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2940, [\chi])\).

	Total	New	Old
Modular forms	1408	992	416
Cusp forms	1280	928	352
Eisenstein series	128	64	64

Trace form

\( 928 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2940, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2940, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2940, [\chi]) \cong \)