Space of modular forms of level 3825, weight 2, and Character 3825.cr

• Label: 3825.2.cr
• Level: $3825$
• Weight: $2$
• Character orbit: 3825.cr
• Rep. character: $\chi_{3825}(152,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $1440$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 3825 = 3^{2} \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3825.cr (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1275 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3825, [\chi])\).

	Total	New	Old
Modular forms	4384	1440	2944
Cusp forms	4256	1440	2816
Eisenstein series	128	0	128

Trace form

\( 1440 q - 16 q^{13} + 360 q^{16} + 40 q^{19} + 32 q^{25} + 20 q^{34} + 8 q^{43} + 56 q^{52} - 64 q^{55} + 32 q^{67} + 288 q^{70} + 20 q^{85}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3825, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3825, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3825, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1275, [\chi])\)\(^{\oplus 2}\)