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

• Label: 2888.2.i
• Level: $2888$
• Weight: $2$
• Character orbit: 2888.i
• Rep. character: $\chi_{2888}(1873,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $170$
• Sturm bound: $760$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	840	170	670
Cusp forms	680	170	510
Eisenstein series	160	0	160

Trace form

170 * q + 3 * q^3 + 4 * q^7 - 88 * q^9 - 6 * q^11 - 4 * q^13 + 4 * q^15 + 8 * q^17 - 6 * q^21 + 12 * q^23 - 81 * q^25 - 18 * q^27 - 4 * q^29 + 24 * q^31 + 5 * q^33 + 18 * q^35 + 16 * q^37 + 20 * q^39 - 15 * q^41 - 10 * q^43 + 8 * q^45 - 6 * q^47 + 186 * q^49 + 20 * q^51 - 16 * q^53 - 8 * q^55 + 25 * q^59 - 16 * q^61 - 46 * q^63 + 4 * q^65 - 5 * q^67 - 20 * q^69 - 8 * q^71 - 33 * q^73 - 6 * q^75 - 32 * q^77 - 6 * q^79 - 65 * q^81 - 58 * q^83 - 52 * q^87 - 12 * q^89 + 44 * q^91 + 32 * q^93 - 11 * q^97 + 2 * 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

\( S_{2}^{\mathrm{old}}(2888, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(38, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(722, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1444, [\chi])\)\(^{\oplus 2}\)