Space of modular forms of level 735, weight 4, and Character 735.bp

• Label: 735.4.bp
• Level: $735$
• Weight: $4$
• Character orbit: 735.bp
• Rep. character: $\chi_{735}(59,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $3984$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 735 = 3 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	735.bp (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 735 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(735, [\chi])\).

	Total	New	Old
Modular forms	4080	4080	0
Cusp forms	3984	3984	0
Eisenstein series	96	96	0

Trace form

\( 3984 q + 1260 q^{4} + 86 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(735, [\chi])\) into newform subspaces

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