Space of modular forms of level 2904, weight 2, and Character 2904.bk

• Label: 2904.2.bk
• Level: $2904$
• Weight: $2$
• Character orbit: 2904.bk
• Rep. character: $\chi_{2904}(197,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $5240$
• Sturm bound: $1056$

Defining parameters

Level:	\( N \)	\(=\)	\( 2904 = 2^{3} \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2904.bk (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2904 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(1056\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2904, [\chi])\).

	Total	New	Old
Modular forms	5320	5320	0
Cusp forms	5240	5240	0
Eisenstein series	80	80	0

Trace form

5240 * q - 18 * q^4 - 33 * q^6 - 44 * q^7 - 40 * q^9 - 22 * q^10 + 18 * q^12 - 72 * q^15 - 26 * q^16 + 11 * q^18 - 34 * q^22 - 132 * q^24 - 544 * q^25 - 22 * q^28 + 22 * q^30 - 36 * q^31 - 76 * q^33 + 2 * q^34 - 29 * q^36 + 44 * q^39 - 30 * q^42 - 22 * q^46 + 40 * q^48 + 464 * q^49 - 187 * q^54 - 36 * q^55 + 88 * q^57 + 30 * q^58 - 20 * q^60 - 176 * q^63 - 6 * q^64 - 6 * q^66 - 58 * q^70 + 77 * q^72 - 44 * q^73 - 22 * q^76 + 6 * q^78 - 44 * q^79 - 32 * q^81 - 14 * q^82 + 22 * q^84 - 88 * q^87 - 82 * q^88 - 110 * q^90 - 44 * q^96 - 52 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(2904, [\chi])\) into newform subspaces

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