Space of modular forms of level 2016, weight 2, and Character 2016.gb

• Label: 2016.2.gb
• Level: $2016$
• Weight: $2$
• Character orbit: 2016.gb
• Rep. character: $\chi_{2016}(139,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $3040$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2016.gb (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2016 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2016, [\chi])\).

	Total	New	Old
Modular forms	3104	3104	0
Cusp forms	3040	3040	0
Eisenstein series	64	64	0

Trace form

3040 * q - 8 * q^2 - 8 * q^4 - 4 * q^7 - 32 * q^8 - 16 * q^9 - 8 * q^11 - 4 * q^14 - 32 * q^15 - 8 * q^16 - 16 * q^18 - 8 * q^21 - 8 * q^22 - 8 * q^23 - 8 * q^25 - 16 * q^28 - 8 * q^29 - 40 * q^30 - 8 * q^32 - 16 * q^35 - 56 * q^36 - 32 * q^37 - 16 * q^39 - 88 * q^42 - 8 * q^43 + 144 * q^44 - 32 * q^46 - 8 * q^50 - 64 * q^51 - 32 * q^53 - 84 * q^56 - 16 * q^57 - 8 * q^58 + 16 * q^60 - 32 * q^64 - 16 * q^65 - 8 * q^67 - 4 * q^70 - 32 * q^71 - 16 * q^72 - 8 * q^74 - 4 * q^77 - 168 * q^78 - 16 * q^79 - 216 * q^84 - 48 * q^85 - 8 * q^86 - 8 * q^88 - 16 * q^91 - 8 * q^92 + 8 * q^93 - 168 * q^98 - 16 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2016, [\chi])\) into newform subspaces

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