Space of modular forms of level 495, weight 4, and Character 495.z

• Label: 495.4.z
• Level: $495$
• Weight: $4$
• Character orbit: 495.z
• Rep. character: $\chi_{495}(134,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $288$
• Sturm bound: $288$

Defining parameters

Level:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	495.z (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 165 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(495, [\chi])\).

	Total	New	Old
Modular forms	896	288	608
Cusp forms	832	288	544
Eisenstein series	64	0	64

Trace form

\( 288 q + 288 q^{4} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(495, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(495, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(495, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 2}\)