Space of modular forms of level 1968, weight 2, and Character 1968.w

• Label: 1968.2.w
• Level: $1968$
• Weight: $2$
• Character orbit: 1968.w
• Rep. character: $\chi_{1968}(491,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $664$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1968 = 2^{4} \cdot 3 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1968.w (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1968 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1968, [\chi])\).

	Total	New	Old
Modular forms	680	680	0
Cusp forms	664	664	0
Eisenstein series	16	16	0

Trace form

\( 664 q - 8 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1968, [\chi])\) into newform subspaces

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