Space of modular forms of level 1656, weight 2, and Character 1656.t

• Label: 1656.2.t
• Level: $1656$
• Weight: $2$
• Character orbit: 1656.t
• Rep. character: $\chi_{1656}(643,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $568$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1656 = 2^{3} \cdot 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1656.t (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1656 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1656, [\chi])\).

	Total	New	Old
Modular forms	584	584	0
Cusp forms	568	568	0
Eisenstein series	16	16	0

Trace form

\( 568 q - 2 q^{2} - 8 q^{3} - 2 q^{4} - 3 q^{6} - 2 q^{8} - 8 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1656, [\chi])\) into newform subspaces

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