Space of modular forms of level 3920, weight 2, and Character 3920.em

• Label: 3920.2.em
• Level: $3920$
• Weight: $2$
• Character orbit: 3920.em
• Rep. character: $\chi_{3920}(127,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $2016$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 3920 = 2^{4} \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3920.em (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 980 \)
Character field:			\(\Q(\zeta_{28})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3920, [\chi])\).

	Total	New	Old
Modular forms	8208	2016	6192
Cusp forms	7920	2016	5904
Eisenstein series	288	0	288

Trace form

\( 2016 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3920, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3920, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3920, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1960, [\chi])\)\(^{\oplus 2}\)