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

• Label: 1976.2.ec
• Level: $1976$
• Weight: $2$
• Character orbit: 1976.ec
• Rep. character: $\chi_{1976}(525,\cdot)$
• 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.ec (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 - 6 * q^2 + 6 * q^6 - 16 * q^7 - 544 * q^9 - 12 * q^14 - 12 * q^15 - 4 * q^16 - 32 * q^20 - 12 * q^22 + 8 * q^24 - 60 * q^26 + 26 * q^28 - 66 * q^32 + 24 * q^33 - 36 * q^34 + 8 * q^39 - 12 * q^40 - 12 * q^41 - 4 * q^44 - 4 * q^47 - 108 * q^48 + 24 * q^52 - 4 * q^54 - 8 * q^55 + 20 * q^57 - 128 * q^58 + 42 * q^60 - 8 * q^63 + 40 * q^66 - 24 * q^68 + 108 * q^70 - 12 * q^71 - 42 * q^72 + 12 * q^73 - 72 * q^74 - 94 * q^76 + 144 * q^78 - 24 * q^79 - 22 * q^80 - 520 * q^81 - 114 * q^86 + 16 * q^87 - 12 * q^89 - 64 * q^92 - 60 * q^96 - 12 * q^97 - 66 * 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.