Space of modular forms of level 2205, weight 4, and Character 2205.z

• Label: 2205.4.z
• Level: $2205$
• Weight: $4$
• Character orbit: 2205.z
• Rep. character: $\chi_{2205}(734,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1424$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2205.z (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 315 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2205, [\chi])\).

	Total	New	Old
Modular forms	2048	1456	592
Cusp forms	1984	1424	560
Eisenstein series	64	32	32

Trace form

\( 1424 q - 2812 q^{4} + 44 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2205, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2205, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 2}\)