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

• Label: 2940.2.i
• Level: $2940$
• Weight: $2$
• Character orbit: 2940.i
• Rep. character: $\chi_{2940}(979,\cdot)$
• Character field: $\Q$
• Dimension: $240$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 2940 = 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2940.i (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 140 \)
Character field:			\(\Q\)
Sturm bound:			\(1344\)

Dimensions

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

	Total	New	Old
Modular forms	704	240	464
Cusp forms	640	240	400
Eisenstein series	64	0	64

Trace form

\( 240 q - 240 q^{9} + O(q^{10}) \)

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

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