Space of modular forms of level 1680, weight 2, and Character 1680.bx

• Label: 1680.2.bx
• Level: $1680$
• Weight: $2$
• Character orbit: 1680.bx
• Rep. character: $\chi_{1680}(629,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $752$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 1680 = 2^{4} \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1680.bx (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1680 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1680, [\chi])\).

	Total	New	Old
Modular forms	784	784	0
Cusp forms	752	752	0
Eisenstein series	32	32	0

Trace form

\( 752 q - 16 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1680, [\chi])\) into newform subspaces

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