Space of modular forms of level 2032, weight 4, and Character 2032.z

• Label: 2032.4.z
• Level: $2032$
• Weight: $4$
• Character orbit: 2032.z
• Rep. character: $\chi_{2032}(147,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $3064$
• Sturm bound: $1024$

Defining parameters

Level:	\( N \)	\(=\)	\( 2032 = 2^{4} \cdot 127 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2032.z (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2032 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1024\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2032, [\chi])\).

	Total	New	Old
Modular forms	3080	3080	0
Cusp forms	3064	3064	0
Eisenstein series	16	16	0

Trace form

3064 * q - 8 * q^2 - 6 * q^3 - 28 * q^4 + 84 * q^6 - 12 * q^7 - 8 * q^8 - 22 * q^11 - 240 * q^12 - 2 * q^13 - 576 * q^14 - 308 * q^16 - 4 * q^17 + 104 * q^18 - 8 * q^19 - 110 * q^21 + 96 * q^22 - 12 * q^23 - 1110 * q^24 + 270 * q^26 - 390 * q^28 + 594 * q^29 + 1002 * q^30 + 612 * q^32 + 376 * q^34 + 248 * q^35 - 164 * q^36 + 6 * q^37 + 1028 * q^38 - 1812 * q^39 - 866 * q^42 + 2502 * q^43 + 668 * q^44 - 756 * q^45 - 54 * q^46 - 1590 * q^48 + 73888 * q^49 - 644 * q^50 - 2306 * q^52 - 1134 * q^53 - 12 * q^55 - 2064 * q^56 - 516 * q^58 + 5118 * q^59 - 2314 * q^60 - 8 * q^61 - 1800 * q^62 + 1484 * q^64 - 12 * q^65 - 3066 * q^67 - 872 * q^68 - 110 * q^69 - 556 * q^70 + 220 * q^71 - 4796 * q^72 + 5246 * q^74 + 2718 * q^75 + 2872 * q^76 - 12630 * q^78 + 121496 * q^81 + 2176 * q^82 - 6 * q^83 + 1240 * q^84 + 744 * q^85 + 8334 * q^86 - 16 * q^87 + 594 * q^88 + 606 * q^90 - 2550 * q^91 + 13902 * q^92 - 6414 * q^93 + 3724 * q^94 + 9258 * q^96 - 12 * q^97 + 598 * q^98 - 4620 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(2032, [\chi])\) into newform subspaces

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