Space of modular forms of level 483, weight 3, and Character 483.w

• Label: 483.3.w
• Level: $483$
• Weight: $3$
• Character orbit: 483.w
• Rep. character: $\chi_{483}(20,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $1240$
• Sturm bound: $192$

Defining parameters

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	483.w (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 483 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(192\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(483, [\chi])\).

	Total	New	Old
Modular forms	1320	1320	0
Cusp forms	1240	1240	0
Eisenstein series	80	80	0

Trace form

\( 1240 q + 204 q^{4} - 22 q^{7} + 14 q^{9} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(483, [\chi])\) into newform subspaces

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