Space of modular forms of level 2475, weight 4, and Character 2475.bz

• Label: 2475.4.bz
• Level: $2475$
• Weight: $4$
• Character orbit: 2475.bz
• Rep. character: $\chi_{2475}(809,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1440$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 2475 = 3^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2475.bz (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 825 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2475, [\chi])\).

	Total	New	Old
Modular forms	4352	1440	2912
Cusp forms	4288	1440	2848
Eisenstein series	64	0	64

Trace form

\( 1440 q + 1440 q^{4} - 60 q^{7} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2475, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2475, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2475, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(825, [\chi])\)\(^{\oplus 2}\)