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

• Label: 483.3.o
• Level: $483$
• Weight: $3$
• Character orbit: 483.o
• Rep. character: $\chi_{483}(68,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $248$
• Sturm bound: $192$

Defining parameters

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	483.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 483 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(192\)

Dimensions

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

	Total	New	Old
Modular forms	264	264	0
Cusp forms	248	248	0
Eisenstein series	16	16	0

Trace form

\( 248 q - 6 q^{3} + 236 q^{4} - 18 q^{9} + O(q^{10}) \)

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

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