Space of modular forms of level 3549, weight 2, and Character 3549.u

• Label: 3549.2.u
• Level: $3549$
• Weight: $2$
• Character orbit: 3549.u
• Rep. character: $\chi_{3549}(3065,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $780$
• Sturm bound: $970$

Defining parameters

Level:	\( N \)	\(=\)	\( 3549 = 3 \cdot 7 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3549.u (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 273 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(970\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3549, [\chi])\).

	Total	New	Old
Modular forms	1028	860	168
Cusp forms	916	780	136
Eisenstein series	112	80	32

Trace form

\( 780 q - 364 q^{4} + 9 q^{7} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3549, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3549, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3549, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 2}\)