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

• Label: 1656.2.bv
• Level: $1656$
• Weight: $2$
• Character orbit: 1656.bv
• Rep. character: $\chi_{1656}(53,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $960$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1656 = 2^{3} \cdot 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1656.bv (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 552 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(576\)

Dimensions

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

	Total	New	Old
Modular forms	2960	960	2000
Cusp forms	2800	960	1840
Eisenstein series	160	0	160

Trace form

\( 960 q + 8 q^{4} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1656, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1656, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 2}\)