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

• Label: 2496.4.dt
• Level: $2496$
• Weight: $4$
• Character orbit: 2496.dt
• Rep. character: $\chi_{2496}(155,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $10720$
• Sturm bound: $1792$

Defining parameters

Level:	\( N \)	\(=\)	\( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2496.dt (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2496 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(1792\)

Dimensions

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

	Total	New	Old
Modular forms	10784	10784	0
Cusp forms	10720	10720	0
Eisenstein series	64	64	0

Trace form

10720 * q - 16 * q^3 - 32 * q^4 - 16 * q^9 - 32 * q^10 - 16 * q^12 - 16 * q^13 - 32 * q^16 - 32 * q^22 - 32 * q^25 - 16 * q^27 - 16 * q^30 - 16 * q^36 - 8 * q^39 - 32 * q^40 - 16 * q^42 - 32 * q^43 - 16 * q^48 - 32 * q^49 - 16 * q^51 - 3328 * q^52 - 608 * q^55 - 32 * q^61 - 32 * q^64 + 112 * q^66 - 16 * q^69 - 16 * q^75 + 5056 * q^78 - 32 * q^79 - 16 * q^81 + 13888 * q^82 - 16 * q^87 + 6208 * q^88 + 18704 * q^90 - 16 * q^91 - 32 * q^94

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

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