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

• Label: 2496.4.u
• Level: $2496$
• Weight: $4$
• Character orbit: 2496.u
• Rep. character: $\chi_{2496}(593,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $664$
• Sturm bound: $1792$

Defining parameters

Level:	\( N \)	\(=\)	\( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2496.u (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 624 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1792\)

Dimensions

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

	Total	New	Old
Modular forms	2720	680	2040
Cusp forms	2656	664	1992
Eisenstein series	64	16	48

Trace form

\( 664 q + 4 q^{3} - 4 q^{13} + 4 q^{15} - 15800 q^{25} + 4 q^{27} + 8 q^{31} - 4 q^{33} - 432 q^{43} + 108 q^{57} - 8 q^{61} - 1368 q^{63} - 500 q^{75} + 16 q^{79} - 8 q^{81} - 424 q^{91} - 8 q^{97} + 8232 q^{99}+O(q^{100}) \)

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

\( S_{4}^{\mathrm{old}}(2496, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(624, [\chi])\)\(^{\oplus 3}\)