Space of modular forms of level 3850, weight 2, and Character 3850.cv

• Label: 3850.2.cv
• Level: $3850$
• Weight: $2$
• Character orbit: 3850.cv
• Rep. character: $\chi_{3850}(81,\cdot)$
• Character field: $\Q(\zeta_{15})$
• Dimension: $1920$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 3850 = 2 \cdot 5^{2} \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3850.cv (of order \(15\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1925 \)
Character field:			\(\Q(\zeta_{15})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3850, [\chi])\).

	Total	New	Old
Modular forms	5824	1920	3904
Cusp forms	5696	1920	3776
Eisenstein series	128	0	128

Trace form

\( 1920 q + 240 q^{4} + 6 q^{5} + 64 q^{6} + 6 q^{7} + 240 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3850, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3850, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3850, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1925, [\chi])\)\(^{\oplus 2}\)