Space of modular forms of level 2496, weight 4, and Character 2496.fm

• Label: 2496.4.fm
• Level: $2496$
• Weight: $4$
• Character orbit: 2496.fm
• Rep. character: $\chi_{2496}(205,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $10752$
• Sturm bound: $1792$

Defining parameters

Level:	\( N \)	\(=\)	\( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2496.fm (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 832 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2496, [\chi])\).

	Total	New	Old
Modular forms	21568	10752	10816
Cusp forms	21440	10752	10688
Eisenstein series	128	0	128

Trace form

\( 10752 q - 160 q^{26} + 4560 q^{28} - 7440 q^{32} + 1760 q^{38} - 6560 q^{40} + 3312 q^{52} + 576 q^{55} - 16512 q^{59} - 5856 q^{62} + 4128 q^{68} - 4416 q^{75} + 7056 q^{78} + 13920 q^{82} - 3120 q^{88}+O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2496, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2496, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2496, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(832, [\chi])\)\(^{\oplus 2}\)