Space of modular forms of level 2535, weight 2, and Character 2535.cw

• Label: 2535.2.cw
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.cw
• Rep. character: $\chi_{2535}(59,\cdot)$
• Character field: $\Q(\zeta_{156})$
• Dimension: $17280$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.cw (of order \(156\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2535 \)
Character field:			\(\Q(\zeta_{156})\)
Sturm bound:			\(728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2535, [\chi])\).

	Total	New	Old
Modular forms	17664	17664	0
Cusp forms	17280	17280	0
Eisenstein series	384	384	0

Trace form

\( 17280 q - 184 q^{4} - 104 q^{6} - 100 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2535, [\chi])\) into newform subspaces

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