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

• Label: 483.3.c
• Level: $483$
• Weight: $3$
• Character orbit: 483.c
• Rep. character: $\chi_{483}(482,\cdot)$
• Character field: $\Q$
• Dimension: $124$
• Sturm bound: $192$

Defining parameters

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	483.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 483 \)
Character field:			\(\Q\)
Sturm bound:			\(192\)

Dimensions

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

	Total	New	Old
Modular forms	132	132	0
Cusp forms	124	124	0
Eisenstein series	8	8	0

Trace form

\( 124 q - 248 q^{4} - 36 q^{9} + O(q^{10}) \)

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

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