Space of modular forms of level 1976, weight 2, and Character 1976.gv

• Label: 1976.2.gv
• Level: $1976$
• Weight: $2$
• Character orbit: 1976.gv
• Rep. character: $\chi_{1976}(21,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $3312$
• Sturm bound: $560$

Defining parameters

Level:	\( N \)	\(=\)	\( 1976 = 2^{3} \cdot 13 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1976.gv (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1976 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(560\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1976, [\chi])\).

	Total	New	Old
Modular forms	3408	3408	0
Cusp forms	3312	3312	0
Eisenstein series	96	96	0

Trace form

3312 * q - 12 * q^2 - 12 * q^6 - 12 * q^7 - 18 * q^8 - 48 * q^9 - 24 * q^14 - 24 * q^15 - 24 * q^16 + 36 * q^20 - 24 * q^22 + 6 * q^24 + 42 * q^26 - 36 * q^28 - 36 * q^31 - 42 * q^32 - 60 * q^33 - 72 * q^34 - 48 * q^39 - 24 * q^40 - 24 * q^41 - 144 * q^42 - 48 * q^44 + 72 * q^46 - 24 * q^47 + 72 * q^48 - 18 * q^50 - 42 * q^52 - 36 * q^54 - 48 * q^55 - 24 * q^57 + 120 * q^58 - 6 * q^60 + 60 * q^63 - 36 * q^65 - 84 * q^66 - 48 * q^68 - 126 * q^70 - 24 * q^71 + 24 * q^72 - 72 * q^73 + 144 * q^74 - 84 * q^76 + 18 * q^78 - 48 * q^79 - 108 * q^80 + 24 * q^81 - 18 * q^84 + 96 * q^86 - 24 * q^87 - 24 * q^89 - 24 * q^92 - 120 * q^96 - 24 * q^97 + 48 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1976, [\chi])\) into newform subspaces

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