Space of modular forms of level 2480, weight 2, and Character 2480.eo

• Label: 2480.2.eo
• Level: $2480$
• Weight: $2$
• Character orbit: 2480.eo
• Rep. character: $\chi_{2480}(283,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $3040$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 2480 = 2^{4} \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2480.eo (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2480 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2480, [\chi])\).

	Total	New	Old
Modular forms	3104	3104	0
Cusp forms	3040	3040	0
Eisenstein series	64	64	0

Trace form

3040 * q - 6 * q^2 + 8 * q^4 - 16 * q^5 - 32 * q^6 - 12 * q^7 + 744 * q^9 - 18 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 36 * q^15 - 4 * q^16 - 12 * q^17 + 20 * q^18 + 24 * q^19 - 12 * q^20 - 12 * q^21 - 44 * q^22 - 12 * q^23 - 24 * q^24 - 32 * q^26 - 16 * q^28 - 68 * q^30 + 4 * q^32 - 12 * q^33 + 8 * q^34 - 48 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 + 32 * q^40 - 86 * q^42 - 12 * q^43 - 48 * q^45 + 36 * q^46 + 24 * q^47 - 18 * q^48 - 4 * q^50 - 28 * q^51 - 44 * q^52 - 40 * q^54 - 12 * q^55 - 32 * q^56 - 24 * q^57 + 14 * q^58 + 32 * q^59 + 8 * q^60 - 64 * q^61 - 14 * q^62 - 24 * q^63 + 32 * q^64 - 12 * q^65 - 12 * q^66 + 64 * q^67 - 48 * q^68 + 24 * q^69 + 44 * q^70 + 72 * q^71 - 166 * q^72 - 80 * q^74 + 12 * q^75 - 44 * q^76 - 32 * q^78 - 68 * q^80 - 720 * q^81 + 16 * q^82 - 24 * q^84 - 36 * q^85 + 4 * q^86 - 32 * q^87 + 60 * q^88 + 166 * q^90 - 44 * q^91 - 16 * q^92 - 28 * q^93 - 8 * q^94 + 80 * q^95 - 12 * q^96 - 12 * q^97 - 32 * q^98 - 24 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2480, [\chi])\) into newform subspaces

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