Space of modular forms of level 4029, weight 2, and Character 4029.y

• Label: 4029.2.y
• Level: $4029$
• Weight: $2$
• Character orbit: 4029.y
• Rep. character: $\chi_{4029}(293,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1904$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 4029 = 3 \cdot 17 \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4029.y (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4029 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4029, [\chi])\).

	Total	New	Old
Modular forms	1936	1936	0
Cusp forms	1904	1904	0
Eisenstein series	32	32	0

Decomposition of \(S_{2}^{\mathrm{new}}(4029, [\chi])\) into newform subspaces

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