Space of modular forms of level 3520, weight 2, and Character 3520.cz

• Label: 3520.2.cz
• Level: $3520$
• Weight: $2$
• Character orbit: 3520.cz
• Rep. character: $\chi_{3520}(309,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $3840$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3520 = 2^{6} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3520.cz (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 320 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3520, [\chi])\).

	Total	New	Old
Modular forms	4640	3840	800
Cusp forms	4576	3840	736
Eisenstein series	64	0	64

Trace form

\( 3840 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3520, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(320, [\chi])\)\(^{\oplus 2}\)