Space of modular forms of level 2760, weight 2, and Character 2760.bs

• Label: 2760.2.bs
• Level: $2760$
• Weight: $2$
• Character orbit: 2760.bs
• Rep. character: $\chi_{2760}(827,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1136$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2760 = 2^{3} \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2760.bs (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2760 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2760, [\chi])\).

	Total	New	Old
Modular forms	1168	1168	0
Cusp forms	1136	1136	0
Eisenstein series	32	32	0

Trace form

1136 * q - 8 * q^3 - 8 * q^6 + 8 * q^12 - 8 * q^16 - 12 * q^18 - 16 * q^25 - 8 * q^27 + 24 * q^36 - 40 * q^46 - 68 * q^48 - 80 * q^52 + 40 * q^58 - 8 * q^70 - 36 * q^72 - 16 * q^73 - 8 * q^75 - 12 * q^78 + 16 * q^81 - 32 * q^82 - 8 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(2760, [\chi])\) into newform subspaces

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