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

• Label: 1980.2.de
• Level: $1980$
• Weight: $2$
• Character orbit: 1980.de
• Rep. character: $\chi_{1980}(59,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $3392$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 1980 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1980.de (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1980 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(864\)

Dimensions

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

	Total	New	Old
Modular forms	3520	3520	0
Cusp forms	3392	3392	0
Eisenstein series	128	128	0

Trace form

\( 3392 q - 6 q^{4} - 18 q^{5} - 4 q^{6} - 24 q^{9} + O(q^{10}) \)

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

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