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

• Label: 1976.2.dx
• Level: $1976$
• Weight: $2$
• Character orbit: 1976.dx
• Rep. character: $\chi_{1976}(83,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1104$
• Sturm bound: $560$

Defining parameters

Level:	\( N \)	\(=\)	\( 1976 = 2^{3} \cdot 13 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1976.dx (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1976 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(560\)

Dimensions

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

	Total	New	Old
Modular forms	1136	1136	0
Cusp forms	1104	1104	0
Eisenstein series	32	32	0

Trace form

1104 * q - 2 * q^2 - 8 * q^3 + 6 * q^6 - 8 * q^8 - 544 * q^9 - 16 * q^11 - 4 * q^14 - 4 * q^16 + 12 * q^18 - 8 * q^19 + 48 * q^20 + 36 * q^22 - 24 * q^24 - 20 * q^26 + 16 * q^27 - 30 * q^28 + 38 * q^32 - 16 * q^33 - 8 * q^35 - 4 * q^40 - 4 * q^41 + 40 * q^42 - 72 * q^46 + 92 * q^48 + 24 * q^50 + 24 * q^52 + 28 * q^54 - 12 * q^57 - 144 * q^58 - 4 * q^59 + 46 * q^60 - 16 * q^65 + 40 * q^66 - 4 * q^67 - 72 * q^68 - 4 * q^70 - 34 * q^72 - 20 * q^73 + 64 * q^74 - 46 * q^76 + 36 * q^78 - 54 * q^80 - 520 * q^81 - 96 * q^83 - 52 * q^84 - 14 * q^86 - 4 * q^89 - 4 * q^91 + 80 * q^92 + 48 * q^94 + 148 * q^96 + 28 * q^97 + 6 * q^98 - 80 * q^99

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

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