Space of modular forms of level 825, weight 6, and Character 825.v

• Label: 825.6.v
• Level: $825$
• Weight: $6$
• Character orbit: 825.v
• Rep. character: $\chi_{825}(379,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1200$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 825 = 3 \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	825.v (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 275 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(825, [\chi])\).

	Total	New	Old
Modular forms	2416	1200	1216
Cusp forms	2384	1200	1184
Eisenstein series	32	0	32

Trace form

\( 1200 q - 19200 q^{4} - 44 q^{5} + 144 q^{6} + 780 q^{7} + 24300 q^{9} + O(q^{10}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(825, [\chi])\) into newform subspaces

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

Decomposition of \(S_{6}^{\mathrm{old}}(825, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(825, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)