Space of modular forms of level 1440, weight 2, and Character 1440.eh

• Label: 1440.2.eh
• Level: $1440$
• Weight: $2$
• Character orbit: 1440.eh
• Rep. character: $\chi_{1440}(43,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $2272$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1440 = 2^{5} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1440.eh (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1440 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1440, [\chi])\).

	Total	New	Old
Modular forms	2336	2336	0
Cusp forms	2272	2272	0
Eisenstein series	64	64	0

Trace form

2272 * q - 4 * q^2 - 8 * q^3 - 4 * q^5 - 16 * q^6 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 8 * q^12 - 4 * q^13 - 32 * q^14 - 16 * q^15 - 8 * q^16 - 16 * q^18 + 24 * q^20 - 16 * q^21 - 4 * q^22 + 32 * q^24 - 4 * q^25 - 32 * q^26 - 8 * q^27 - 48 * q^28 - 20 * q^30 - 4 * q^32 - 16 * q^33 - 56 * q^35 - 16 * q^36 - 16 * q^37 + 52 * q^38 - 4 * q^40 - 8 * q^41 - 32 * q^42 - 4 * q^43 - 8 * q^45 - 32 * q^46 - 8 * q^47 + 44 * q^48 + 1040 * q^49 + 12 * q^50 - 16 * q^51 - 4 * q^52 - 16 * q^53 - 112 * q^54 - 16 * q^55 - 8 * q^56 - 16 * q^57 - 4 * q^58 - 24 * q^60 - 8 * q^61 - 32 * q^62 - 56 * q^63 - 8 * q^65 + 48 * q^66 - 4 * q^67 - 20 * q^68 - 24 * q^69 + 24 * q^70 - 32 * q^71 - 132 * q^72 - 32 * q^73 - 20 * q^75 - 32 * q^76 - 60 * q^77 - 92 * q^78 - 16 * q^80 - 32 * q^82 - 4 * q^83 - 56 * q^84 - 4 * q^85 - 8 * q^86 + 96 * q^87 - 52 * q^88 - 120 * q^90 - 32 * q^91 + 40 * q^92 - 20 * q^93 - 48 * q^96 - 8 * q^97 - 56 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1440, [\chi])\) into newform subspaces

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