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

• Label: 2888.2.o
• Level: $2888$
• Weight: $2$
• Character orbit: 2888.o
• Rep. character: $\chi_{2888}(2235,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $648$
• Sturm bound: $760$

Defining parameters

Level:	\( N \)	\(=\)	\( 2888 = 2^{3} \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2888.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 152 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(760\)

Dimensions

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

	Total	New	Old
Modular forms	800	712	88
Cusp forms	720	648	72
Eisenstein series	80	64	16

Trace form

648 * q + 3 * q^2 + 6 * q^3 - q^4 + 7 * q^6 + 294 * q^9 + 6 * q^10 + 8 * q^11 - 12 * q^14 + 3 * q^16 + 2 * q^17 + 4 * q^20 + 9 * q^22 + 11 * q^24 + 262 * q^25 + 12 * q^26 + 10 * q^28 - 44 * q^30 + 3 * q^32 + 24 * q^33 + 12 * q^34 + 16 * q^35 + 24 * q^36 + 24 * q^40 - 6 * q^41 + 34 * q^42 + 2 * q^43 + 19 * q^44 + 15 * q^48 - 432 * q^49 + 30 * q^51 - 36 * q^52 - 51 * q^54 - 96 * q^58 + 6 * q^59 + 42 * q^60 - 24 * q^62 - 58 * q^64 - 43 * q^66 + 6 * q^67 - 32 * q^68 - 18 * q^70 - 24 * q^72 - 6 * q^73 - 14 * q^74 - 18 * q^78 + 28 * q^80 - 196 * q^81 - 33 * q^82 - 32 * q^83 - 42 * q^86 + 6 * q^89 + 96 * q^90 - 36 * q^91 - 124 * q^92 - 134 * q^96 + 6 * q^97 - 15 * q^98 + 96 * q^99

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(2888, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2888, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 2}\)