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

• Label: 2760.2.de
• Level: $2760$
• Weight: $2$
• Character orbit: 2760.de
• Rep. character: $\chi_{2760}(77,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $11360$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2760 = 2^{3} \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2760.de (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2760 \)
Character field:			\(\Q(\zeta_{44})\)
Sturm bound:			\(1152\)

Dimensions

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

	Total	New	Old
Modular forms	11680	11680	0
Cusp forms	11360	11360	0
Eisenstein series	320	320	0

Trace form

11360 * q - 36 * q^6 - 72 * q^7 - 36 * q^10 - 6 * q^12 - 36 * q^15 - 80 * q^16 - 10 * q^18 - 64 * q^22 - 72 * q^25 - 100 * q^28 + 2 * q^30 - 112 * q^31 - 12 * q^33 - 68 * q^36 - 76 * q^40 + 2 * q^42 - 112 * q^46 - 82 * q^48 + 176 * q^52 + 8 * q^55 - 12 * q^57 - 84 * q^58 - 34 * q^60 - 92 * q^63 + 12 * q^66 - 160 * q^70 + 14 * q^72 - 72 * q^73 + 40 * q^76 - 74 * q^78 - 40 * q^81 - 92 * q^82 - 60 * q^87 + 28 * q^88 + 288 * q^90 - 36 * q^96 - 72 * q^97

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

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