Space of modular forms of level 1904, weight 2, and Character 1904.dh

• Label: 1904.2.dh
• Level: $1904$
• Weight: $2$
• Character orbit: 1904.dh
• Rep. character: $\chi_{1904}(373,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1136$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1904 = 2^{4} \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1904.dh (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1904 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1904, [\chi])\).

	Total	New	Old
Modular forms	1168	1168	0
Cusp forms	1136	1136	0
Eisenstein series	32	32	0

Trace form

1136 * q - 4 * q^2 - 4 * q^4 - 16 * q^8 - 16 * q^13 - 32 * q^15 - 4 * q^16 - 4 * q^17 - 40 * q^18 - 4 * q^19 + 4 * q^21 - 4 * q^26 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 32 * q^34 + 12 * q^35 - 8 * q^36 - 44 * q^38 - 36 * q^42 - 16 * q^43 - 88 * q^47 - 16 * q^49 - 32 * q^50 + 6 * q^51 - 28 * q^52 - 4 * q^53 + 28 * q^59 + 32 * q^64 + 36 * q^66 - 4 * q^67 + 24 * q^68 + 8 * q^69 - 12 * q^70 + 84 * q^72 - 16 * q^76 + 20 * q^77 + 496 * q^81 + 64 * q^83 + 68 * q^84 - 28 * q^85 - 8 * q^86 - 28 * q^93 - 60 * q^94 + 168 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1904, [\chi])\) into newform subspaces

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