Space of modular forms of level 4527, weight 2, and Character 4527.o

• Label: 4527.2.o
• Level: $4527$
• Weight: $2$
• Character orbit: 4527.o
• Rep. character: $\chi_{4527}(5,\cdot)$
• Character field: $\Q(\zeta_{1506})$
• Dimension: $251000$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 4527 = 3^{2} \cdot 503 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4527.o (of order \(1506\) and degree \(500\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4527 \)
Character field:			\(\Q(\zeta_{1506})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4527, [\chi])\).

	Total	New	Old
Modular forms	253000	253000	0
Cusp forms	251000	251000	0
Eisenstein series	2000	2000	0

Decomposition of \(S_{2}^{\mathrm{new}}(4527, [\chi])\) into newform subspaces

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