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

• Label: 936.4.dt
• Level: $936$
• Weight: $4$
• Character orbit: 936.dt
• Rep. character: $\chi_{936}(149,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $2000$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 936 = 2^{3} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	936.dt (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 936 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(672\)

Dimensions

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

	Total	New	Old
Modular forms	2032	2032	0
Cusp forms	2000	2000	0
Eisenstein series	32	32	0

Trace form

2000 * q - 6 * q^2 + 24 * q^6 - 4 * q^7 - 18 * q^8 - 4 * q^9 - 12 * q^10 - 162 * q^12 - 12 * q^14 + 100 * q^15 - 4 * q^16 + 166 * q^18 - 6 * q^20 - 4 * q^22 - 12 * q^23 + 418 * q^24 + 816 * q^26 + 120 * q^28 + 234 * q^30 - 4 * q^31 - 6 * q^32 - 224 * q^33 + 30 * q^34 - 1536 * q^36 - 116 * q^39 - 4 * q^40 - 12 * q^41 + 446 * q^42 - 384 * q^44 - 24 * q^46 - 12 * q^47 + 194 * q^48 - 12 * q^49 + 3192 * q^50 + 404 * q^52 - 306 * q^54 - 8 * q^55 - 6 * q^56 - 116 * q^57 - 1254 * q^58 + 180 * q^60 + 2934 * q^62 + 1364 * q^63 - 12 * q^65 + 2836 * q^66 + 762 * q^68 + 1216 * q^70 - 1794 * q^72 - 16 * q^73 - 5466 * q^74 - 130 * q^76 - 5408 * q^78 - 8 * q^79 - 6210 * q^80 - 4 * q^81 - 12 * q^82 + 5210 * q^84 - 6 * q^86 - 4492 * q^87 - 4674 * q^90 - 7992 * q^92 + 1658 * q^94 - 24 * q^95 - 1186 * q^96 - 4 * q^97 - 48 * q^98

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

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