Space of modular forms of level 1440, weight 5, and Character 1440.ds

• Label: 1440.5.ds
• Level: $1440$
• Weight: $5$
• Character orbit: 1440.ds
• Rep. character: $\chi_{1440}(133,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $9184$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 1440 = 2^{5} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 5 \)
Character orbit:	\([\chi]\)	\(=\)	1440.ds (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1440 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{5}(1440, [\chi])\).

	Total	New	Old
Modular forms	9248	9248	0
Cusp forms	9184	9184	0
Eisenstein series	64	64	0

Trace form

9184 * q - 4 * q^2 - 8 * q^3 - 4 * q^5 - 16 * q^6 - 8 * q^7 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 8 * q^12 - 4 * q^13 + 256 * q^14 - 8 * q^16 - 72 * q^18 + 2600 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 1504 * q^24 - 4 * q^25 - 32 * q^26 - 8 * q^27 + 2032 * q^28 - 4524 * q^30 - 16 * q^31 - 4 * q^32 - 16 * q^33 + 4984 * q^35 - 16 * q^36 - 16 * q^37 - 2524 * q^38 - 4 * q^40 - 8 * q^41 + 5176 * q^42 - 4 * q^43 - 8 * q^45 - 32 * q^46 - 4948 * q^48 - 1542128 * q^49 + 124 * q^50 - 16 * q^51 - 4 * q^52 - 16 * q^53 - 11984 * q^54 - 16 * q^55 - 8 * q^56 - 16 * q^57 - 4 * q^58 + 1016 * q^60 - 8 * q^61 + 112 * q^62 - 16 * q^63 - 8 * q^65 - 30800 * q^66 - 4 * q^67 - 1028 * q^68 + 648 * q^69 - 9608 * q^70 - 32 * q^71 - 72676 * q^72 - 32 * q^73 - 332 * q^75 - 5312 * q^76 + 19204 * q^77 - 11724 * q^78 - 16 * q^80 - 144 * q^82 - 4 * q^83 + 19208 * q^84 - 4 * q^85 - 8 * q^86 + 8396 * q^88 + 31496 * q^90 - 32 * q^91 + 41944 * q^92 + 316 * q^93 - 8 * q^95 - 52784 * q^96 - 8 * q^97 + 19320 * q^98

Decomposition of \(S_{5}^{\mathrm{new}}(1440, [\chi])\) into newform subspaces

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