Space of modular forms of level 1980, weight 2, and Character 1980.ch

• Label: 1980.2.ch
• Level: $1980$
• Weight: $2$
• Character orbit: 1980.ch
• Rep. character: $\chi_{1980}(263,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1696$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 1980 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1980.ch (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1980 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1980, [\chi])\).

	Total	New	Old
Modular forms	1760	1760	0
Cusp forms	1696	1696	0
Eisenstein series	64	64	0

Trace form

\( 1696 q - 24 q^{5} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1980, [\chi])\) into newform subspaces

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