Space of modular forms of level 2, weight 12, and trivial character

• Label: 2.12.a
• Level: $2$
• Weight: $12$
• Character orbit: 2.a
• Rep. character: $\chi_{2}(1,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $3$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 2 \)
Weight:	\( k \)	\(=\)	\( 12 \)
Character orbit:	\([\chi]\)	\(=\)	2.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(3\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{12}(\Gamma_0(2))\).

	Total	New	Old
Modular forms	4	0	4
Cusp forms	2	0	2
Eisenstein series	2	0	2

Decomposition of \(S_{12}^{\mathrm{old}}(\Gamma_0(2))\) into lower level spaces

\( S_{12}^{\mathrm{old}}(\Gamma_0(2)) \cong \) \(S_{12}^{\mathrm{new}}(\Gamma_0(1))\)\(^{\oplus 2}\)