Space of modular forms of level 825, weight 3, and Character 825.l

• Label: 825.3.l
• Level: $825$
• Weight: $3$
• Character orbit: 825.l
• Rep. character: $\chi_{825}(32,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $280$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 825 = 3 \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	825.l (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 165 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(825, [\chi])\).

	Total	New	Old
Modular forms	504	296	208
Cusp forms	456	280	176
Eisenstein series	48	16	32

Trace form

\( 280 q + 6 q^{3} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(825, [\chi])\) into newform subspaces

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

Decomposition of \(S_{3}^{\mathrm{old}}(825, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(825, [\chi]) \cong \)