Space of modular forms of level 2667, weight 2, and Character 2667.be

• Label: 2667.2.be
• Level: $2667$
• Weight: $2$
• Character orbit: 2667.be
• Rep. character: $\chi_{2667}(380,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $676$
• Sturm bound: $682$

Defining parameters

Level:	\( N \)	\(=\)	\( 2667 = 3 \cdot 7 \cdot 127 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2667.be (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2667 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(682\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2667, [\chi])\).

	Total	New	Old
Modular forms	692	692	0
Cusp forms	676	676	0
Eisenstein series	16	16	0

Trace form

\( 676 q + 332 q^{4} + 2 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2667, [\chi])\) into newform subspaces

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