Space of modular forms of level 2100, weight 4, and Character 2100.dd

• Label: 2100.4.dd
• Level: $2100$
• Weight: $4$
• Character orbit: 2100.dd
• Rep. character: $\chi_{2100}(11,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $11456$
• Sturm bound: $1920$

Defining parameters

Level:	\( N \)	\(=\)	\( 2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2100.dd (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2100 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2100, [\chi])\).

	Total	New	Old
Modular forms	11584	11584	0
Cusp forms	11456	11456	0
Eisenstein series	128	128	0

Trace form

11456 * q - 6 * q^4 - 44 * q^6 - 6 * q^9 + 24 * q^10 + 105 * q^12 - 48 * q^13 - 6 * q^16 + 24 * q^18 - 174 * q^21 - 88 * q^22 + 46 * q^24 - 100 * q^25 + 468 * q^28 - 357 * q^30 - 222 * q^33 - 248 * q^34 - 928 * q^36 - 12 * q^37 - 12 * q^40 + 1252 * q^42 + 492 * q^45 + 350 * q^46 + 96 * q^48 + 344 * q^49 + 70 * q^52 + 13 * q^54 + 1848 * q^57 - 1082 * q^58 + 2649 * q^60 - 12 * q^61 - 1896 * q^64 + 407 * q^66 - 240 * q^69 - 4764 * q^70 - 2967 * q^72 + 1956 * q^73 + 5344 * q^76 - 4006 * q^78 + 450 * q^81 - 1476 * q^82 - 3351 * q^84 + 2232 * q^85 + 854 * q^88 - 5574 * q^90 + 200 * q^93 - 70 * q^94 + 159 * q^96 - 11208 * q^97

Decomposition of \(S_{4}^{\mathrm{new}}(2100, [\chi])\) into newform subspaces

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