Space of modular forms of level 4, weight 2, and trivial character

• Label: 4.2.a
• Level: $4$
• Weight: $2$
• Character orbit: 4.a
• Rep. character: $\chi_{4}(1,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $1$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 4 = 2^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(1\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(4))\).

	Total	New	Old
Modular forms	2	0	2
Cusp forms	0	0	0
Eisenstein series	2	0	2