Space of modular forms of level 936, weight 4, and Character 936.cq

• Label: 936.4.cq
• Level: $936$
• Weight: $4$
• Character orbit: 936.cq
• Rep. character: $\chi_{936}(563,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1000$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 936 = 2^{3} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	936.cq (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 936 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(936, [\chi])\).

	Total	New	Old
Modular forms	1016	1016	0
Cusp forms	1000	1000	0
Eisenstein series	16	16	0

Trace form

1000 * q - 6 * q^2 - 2 * q^3 - 2 * q^4 - 48 * q^6 - 18 * q^8 - 2 * q^9 - 10 * q^10 - 12 * q^11 + 47 * q^12 - 6 * q^14 - 2 * q^16 - 24 * q^18 - 12 * q^19 - 3 * q^20 - 66 * q^22 - 84 * q^24 + 12096 * q^25 + 432 * q^26 + 124 * q^27 - 6 * q^28 + 170 * q^30 - 6 * q^32 - 6 * q^33 - 24 * q^34 + 750 * q^35 - 758 * q^36 + 840 * q^38 + 248 * q^40 - 6 * q^41 + 215 * q^42 + 2 * q^43 - 384 * q^44 - 6 * q^46 + 1829 * q^48 - 23322 * q^49 - 378 * q^50 - 116 * q^51 + 714 * q^52 - 27 * q^54 + 1026 * q^56 - 12 * q^59 + 273 * q^60 + 1491 * q^62 + 262 * q^64 - 6 * q^65 - 3256 * q^66 - 6 * q^67 - 2688 * q^68 + 1005 * q^70 - 3372 * q^72 + 2775 * q^74 - 556 * q^75 - 3 * q^76 - 1172 * q^78 - 3672 * q^80 - 2 * q^81 - 369 * q^82 - 1281 * q^84 + 4158 * q^86 + 1062 * q^88 - 2791 * q^90 - 694 * q^91 + 3984 * q^92 - 2161 * q^94 - 4713 * q^96 - 6 * q^97 + 1029 * q^98 - 4374 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(936, [\chi])\) into newform subspaces

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