Space of modular forms of level 5445, weight 2, and Character 5445.dr

• Label: 5445.2.dr
• Level: $5445$
• Weight: $2$
• Character orbit: 5445.dr
• Rep. character: $\chi_{5445}(7,\cdot)$
• Character field: $\Q(\zeta_{660})$
• Dimension: $126080$
• Sturm bound: $1584$

Defining parameters

Level:	\( N \)	\(=\)	\( 5445 = 3^{2} \cdot 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	5445.dr (of order \(660\) and degree \(160\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 5445 \)
Character field:			\(\Q(\zeta_{660})\)
Sturm bound:			\(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5445, [\chi])\).

	Total	New	Old
Modular forms	127360	127360	0
Cusp forms	126080	126080	0
Eisenstein series	1280	1280	0

Decomposition of \(S_{2}^{\mathrm{new}}(5445, [\chi])\) into newform subspaces

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