Space of modular forms of level 252, weight 12, and Character 252.o

• Label: 252.12.o
• Level: $252$
• Weight: $12$
• Character orbit: 252.o
• Rep. character: $\chi_{252}(95,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1048$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 12 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 252 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{12}(252, [\chi])\).

	Total	New	Old
Modular forms	1064	1064	0
Cusp forms	1048	1048	0
Eisenstein series	16	16	0

Trace form

\( 1048 q - 3 q^{2} + q^{4} - 2052 q^{6} - 2 q^{9} + O(q^{10}) \)

Decomposition of \(S_{12}^{\mathrm{new}}(252, [\chi])\) into newform subspaces

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