Space of modular forms of level 2888, weight 2, and Character 2888.bh

• Label: 2888.2.bh
• Level: $2888$
• Weight: $2$
• Character orbit: 2888.bh
• Rep. character: $\chi_{2888}(45,\cdot)$
• Character field: $\Q(\zeta_{114})$
• Dimension: $13608$
• Sturm bound: $760$

Defining parameters

Level:	\( N \)	\(=\)	\( 2888 = 2^{3} \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2888.bh (of order \(114\) and degree \(36\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2888 \)
Character field:			\(\Q(\zeta_{114})\)
Sturm bound:			\(760\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2888, [\chi])\).

	Total	New	Old
Modular forms	13752	13752	0
Cusp forms	13608	13608	0
Eisenstein series	144	144	0

Trace form

13608 * q - 37 * q^2 - 39 * q^4 - 35 * q^6 - 68 * q^7 - 40 * q^8 - 448 * q^9 + 29 * q^10 - 28 * q^12 - 38 * q^14 - 70 * q^15 - 35 * q^16 - 74 * q^17 - 18 * q^18 - 54 * q^20 - 124 * q^22 - 74 * q^23 - 51 * q^24 - 444 * q^25 - 125 * q^26 - 27 * q^28 + 6 * q^30 - 28 * q^31 - 47 * q^32 - 88 * q^33 - 48 * q^34 - 50 * q^36 - 8 * q^38 - 56 * q^39 - 28 * q^40 - 78 * q^41 - 22 * q^42 - 49 * q^44 - 46 * q^46 - 86 * q^47 + 341 * q^48 - 784 * q^49 - 12 * q^50 - 26 * q^52 - 225 * q^54 - 84 * q^55 + 160 * q^56 - 70 * q^57 - 62 * q^58 - 110 * q^60 - 55 * q^62 - 48 * q^63 - 72 * q^64 - 48 * q^65 - 63 * q^66 - 132 * q^68 - 46 * q^70 - 46 * q^71 - 2 * q^72 - 66 * q^73 - 50 * q^74 + 208 * q^76 - 272 * q^78 - 110 * q^79 - 190 * q^80 + 362 * q^81 - 71 * q^82 - 55 * q^84 + 600 * q^86 - 112 * q^87 - 104 * q^88 - 74 * q^89 - 752 * q^90 - 54 * q^92 - 262 * q^94 - 114 * q^95 - 220 * q^96 - 58 * q^97 - 172 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2888, [\chi])\) into newform subspaces

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