Space of modular forms of level 2499, weight 4, and Character 2499.db

• Label: 2499.4.db
• Level: $2499$
• Weight: $4$
• Character orbit: 2499.db
• Rep. character: $\chi_{2499}(11,\cdot)$
• Character field: $\Q(\zeta_{336})$
• Dimension: $96384$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 2499 = 3 \cdot 7^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2499.db (of order \(336\) and degree \(96\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2499 \)
Character field:			\(\Q(\zeta_{336})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2499, [\chi])\).

	Total	New	Old
Modular forms	97152	97152	0
Cusp forms	96384	96384	0
Eisenstein series	768	768	0

Trace form

96384 * q - 104 * q^3 - 208 * q^4 - 80 * q^6 - 192 * q^7 - 104 * q^9 - 208 * q^10 - 104 * q^12 - 160 * q^13 - 752 * q^15 + 352 * q^18 - 96 * q^19 - 160 * q^22 - 104 * q^24 - 208 * q^25 - 80 * q^27 + 672 * q^28 - 48 * q^30 - 96 * q^31 - 160 * q^34 - 400 * q^36 + 464 * q^37 - 104 * q^39 - 3088 * q^40 + 2016 * q^42 - 160 * q^43 - 104 * q^45 - 208 * q^46 + 7280 * q^48 + 18240 * q^49 - 104 * q^51 - 416 * q^52 - 4704 * q^54 + 1760 * q^55 - 80 * q^57 - 208 * q^58 - 104 * q^60 - 208 * q^61 + 480 * q^63 + 1888 * q^64 - 232 * q^66 + 31040 * q^69 - 64 * q^70 + 2456 * q^72 - 3280 * q^73 + 8344 * q^75 - 160 * q^76 - 80 * q^78 - 96 * q^79 - 104 * q^81 - 208 * q^82 - 8224 * q^85 - 10568 * q^87 - 208 * q^88 - 5080 * q^90 - 768 * q^91 - 104 * q^93 - 22192 * q^94 - 1832 * q^96 - 384 * q^97 - 192 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(2499, [\chi])\) into newform subspaces

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