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

• Label: 2888.2.y
• Level: $2888$
• Weight: $2$
• Character orbit: 2888.y
• Rep. character: $\chi_{2888}(153,\cdot)$
• Character field: $\Q(\zeta_{19})$
• Dimension: $1710$
• Sturm bound: $760$

Defining parameters

Level:	\( N \)	\(=\)	\( 2888 = 2^{3} \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2888.y (of order \(19\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 361 \)
Character field:			\(\Q(\zeta_{19})\)
Sturm bound:			\(760\)

Dimensions

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

	Total	New	Old
Modular forms	6912	1710	5202
Cusp forms	6768	1710	5058
Eisenstein series	144	0	144

Trace form

1710 * q - 19 * q^3 - 4 * q^7 - 44 * q^9 + 6 * q^11 - 2 * q^13 + 8 * q^15 - 40 * q^17 + 3 * q^19 + 12 * q^23 - 87 * q^25 - 19 * q^27 + 10 * q^29 - 12 * q^31 + 4 * q^33 + 12 * q^35 + 14 * q^37 - 72 * q^39 - 6 * q^41 + 150 * q^43 + 28 * q^45 + 12 * q^47 - 175 * q^49 + 4 * q^51 - 2 * q^53 - 16 * q^55 - 2 * q^57 + 8 * q^59 - 16 * q^61 - 44 * q^63 - 16 * q^65 - 28 * q^67 - 108 * q^69 + 8 * q^71 - 2 * q^73 + 306 * q^75 + 8 * q^77 - 12 * q^79 - 70 * q^81 - 21 * q^83 + 4 * q^87 + 108 * q^89 - 70 * q^91 + 8 * q^93 - 22 * q^97 + 58 * 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

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