Space of modular forms of level 1856, weight 2, and Character 1856.bl

• Label: 1856.2.bl
• Level: $1856$
• Weight: $2$
• Character orbit: 1856.bl
• Rep. character: $\chi_{1856}(307,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1904$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1856 = 2^{6} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1856.bl (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1856 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1856, [\chi])\).

	Total	New	Old
Modular forms	1936	1936	0
Cusp forms	1904	1904	0
Eisenstein series	32	32	0

Trace form

1904 * q - 8 * q^2 - 8 * q^3 - 16 * q^7 - 8 * q^8 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^14 - 16 * q^16 - 16 * q^17 + 32 * q^18 - 8 * q^19 - 16 * q^20 - 8 * q^21 - 16 * q^23 - 16 * q^24 - 16 * q^25 - 8 * q^26 - 56 * q^27 - 8 * q^29 - 16 * q^30 - 16 * q^31 - 8 * q^32 - 32 * q^34 - 16 * q^36 - 8 * q^37 - 112 * q^38 - 56 * q^39 - 72 * q^40 - 8 * q^41 - 24 * q^43 + 72 * q^44 - 16 * q^45 + 56 * q^46 - 16 * q^47 - 8 * q^48 - 16 * q^49 - 8 * q^50 - 48 * q^51 + 32 * q^52 - 16 * q^53 - 16 * q^54 - 8 * q^55 + 48 * q^56 - 16 * q^58 - 16 * q^59 + 64 * q^60 - 8 * q^61 - 48 * q^62 - 32 * q^65 - 120 * q^66 + 16 * q^68 - 8 * q^69 + 16 * q^70 - 200 * q^72 - 8 * q^73 - 16 * q^74 + 32 * q^75 + 56 * q^76 - 40 * q^77 + 32 * q^78 - 16 * q^79 - 80 * q^80 - 16 * q^81 - 16 * q^82 - 16 * q^83 - 8 * q^84 - 48 * q^85 + 128 * q^86 - 120 * q^87 - 176 * q^88 - 8 * q^89 + 304 * q^90 - 96 * q^91 + 16 * q^92 - 16 * q^94 - 16 * q^95 - 72 * q^98 - 32 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1856, [\chi])\) into newform subspaces

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