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

• Label: 3520.2.t
• Level: $3520$
• Weight: $2$
• Character orbit: 3520.t
• Rep. character: $\chi_{3520}(593,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $280$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3520 = 2^{6} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3520.t (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 880 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1152\)

Dimensions

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

	Total	New	Old
Modular forms	1184	296	888
Cusp forms	1120	280	840
Eisenstein series	64	16	48

Trace form

\( 280 q - 4 q^{5} - 264 q^{9} + O(q^{10}) \)

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

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