Space of modular forms of level 2496, weight 2, and Character 2496.dx

• Label: 2496.2.dx
• Level: $2496$
• Weight: $2$
• Character orbit: 2496.dx
• Rep. character: $\chi_{2496}(187,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1792$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2496.dx (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 832 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2496, [\chi])\).

	Total	New	Old
Modular forms	3616	1792	1824
Cusp forms	3552	1792	1760
Eisenstein series	64	0	64

Trace form

\( 1792 q + 32 q^{12} + 64 q^{20} + 80 q^{28} - 80 q^{32} + 80 q^{34} + 64 q^{46} - 64 q^{52} - 64 q^{55} + 128 q^{59} + 96 q^{60} + 96 q^{68} + 48 q^{70} + 128 q^{71} + 128 q^{76} + 128 q^{86} - 80 q^{96}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2496, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2496, [\chi])\) into lower level spaces

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