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

• Label: 1976.2.bh
• Level: $1976$
• Weight: $2$
• Character orbit: 1976.bh
• Rep. character: $\chi_{1976}(1413,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $552$
• Sturm bound: $560$

Defining parameters

Level:	\( N \)	\(=\)	\( 1976 = 2^{3} \cdot 13 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1976.bh (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1976 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(560\)

Dimensions

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

	Total	New	Old
Modular forms	568	568	0
Cusp forms	552	552	0
Eisenstein series	16	16	0

Trace form

552 * q - 2 * q^2 - 2 * q^4 + 14 * q^6 - 4 * q^7 - 8 * q^8 - 540 * q^9 + 5 * q^10 - 2 * q^12 + 14 * q^15 - 2 * q^16 + 2 * q^17 - 6 * q^18 - 26 * q^20 + 15 * q^22 + 2 * q^23 + 20 * q^24 + 256 * q^25 + 6 * q^26 - 17 * q^28 + 3 * q^30 - 16 * q^31 - 12 * q^32 + 14 * q^33 - q^34 - 64 * q^36 + 3 * q^38 - 2 * q^39 + 13 * q^40 - 4 * q^41 - 11 * q^42 + 12 * q^44 - 32 * q^46 - 4 * q^47 - 2 * q^48 - 264 * q^49 - 3 * q^52 - 8 * q^54 + 16 * q^55 - 31 * q^56 + 14 * q^57 + 18 * q^58 - 27 * q^60 - 28 * q^62 - 14 * q^63 + 28 * q^64 - 28 * q^65 - 8 * q^66 - 14 * q^68 - 35 * q^70 + 2 * q^71 + 62 * q^72 + 4 * q^73 + 25 * q^74 + 23 * q^76 + 30 * q^78 + 36 * q^79 + 19 * q^80 + 496 * q^81 + 44 * q^82 - 46 * q^84 - 32 * q^86 + 8 * q^87 - 15 * q^88 + 2 * q^89 - 9 * q^90 - 43 * q^92 + 8 * q^94 - 2 * q^95 + 66 * q^96 + 18 * q^97 - 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.