Space of modular forms of level 2240, weight 2, and Character 2240.ez

• Label: 2240.2.ez
• Level: $2240$
• Weight: $2$
• Character orbit: 2240.ez
• Rep. character: $\chi_{2240}(107,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $6080$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 2240 = 2^{6} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2240.ez (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2240 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2240, [\chi])\).

	Total	New	Old
Modular forms	6208	6208	0
Cusp forms	6080	6080	0
Eisenstein series	128	128	0

Trace form

6080 * q - 8 * q^2 - 8 * q^3 - 8 * q^5 - 64 * q^6 - 16 * q^7 - 32 * q^8 - 8 * q^10 - 16 * q^11 - 8 * q^12 - 32 * q^13 - 64 * q^14 - 32 * q^15 - 16 * q^16 - 16 * q^17 - 8 * q^18 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 8 * q^23 - 8 * q^25 - 16 * q^26 - 32 * q^27 - 16 * q^28 + 56 * q^30 - 32 * q^31 - 8 * q^32 + 64 * q^34 - 16 * q^35 - 64 * q^36 - 8 * q^37 - 8 * q^38 - 136 * q^40 - 64 * q^41 - 16 * q^42 - 32 * q^43 + 16 * q^45 - 16 * q^46 - 32 * q^48 - 32 * q^50 - 16 * q^51 - 8 * q^52 - 8 * q^53 - 32 * q^55 - 32 * q^56 - 32 * q^57 + 56 * q^58 - 8 * q^60 - 16 * q^61 - 16 * q^65 + 80 * q^66 - 8 * q^67 + 56 * q^68 - 16 * q^70 + 64 * q^71 - 8 * q^72 - 8 * q^73 - 8 * q^75 - 64 * q^76 - 16 * q^77 - 336 * q^78 - 8 * q^80 - 16 * q^81 - 88 * q^82 - 32 * q^83 + 48 * q^85 - 16 * q^86 - 8 * q^87 - 96 * q^88 - 32 * q^90 - 32 * q^91 - 176 * q^92 + 40 * q^93 - 64 * q^94 - 16 * q^95 - 16 * q^96 - 56 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2240, [\chi])\) into newform subspaces

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