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

• Label: 2480.2.fi
• Level: $2480$
• Weight: $2$
• Character orbit: 2480.fi
• Rep. character: $\chi_{2480}(227,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $6080$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 2480 = 2^{4} \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2480.fi (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2480 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(768\)

Dimensions

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

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

Trace form

6080 * q - 12 * q^2 - 8 * q^4 - 8 * q^5 - 16 * q^6 - 36 * q^7 - 744 * q^9 + 6 * q^10 - 36 * q^11 - 24 * q^12 - 36 * q^13 - 36 * q^15 - 32 * q^16 - 36 * q^17 - 32 * q^18 - 48 * q^19 - 12 * q^20 - 36 * q^21 + 38 * q^22 - 24 * q^23 - 12 * q^24 - 16 * q^26 - 32 * q^28 + 20 * q^30 - 52 * q^32 - 24 * q^33 + 16 * q^34 - 6 * q^35 - 16 * q^36 - 16 * q^37 - 22 * q^38 - 74 * q^40 + 14 * q^42 - 36 * q^43 + 6 * q^45 - 72 * q^46 + 48 * q^47 - 24 * q^48 + 100 * q^50 - 44 * q^51 + 98 * q^52 - 8 * q^54 - 36 * q^55 - 16 * q^56 + 24 * q^57 - 56 * q^58 + 16 * q^59 + 22 * q^60 - 32 * q^61 - 22 * q^62 + 24 * q^63 + 64 * q^64 - 36 * q^65 - 24 * q^66 - 112 * q^67 - 66 * q^68 - 60 * q^69 - 110 * q^70 - 168 * q^71 + 280 * q^72 + 20 * q^74 - 36 * q^75 - 52 * q^76 - 10 * q^78 + 86 * q^80 + 624 * q^81 - 52 * q^82 + 24 * q^84 + 18 * q^85 - 28 * q^86 - 16 * q^87 - 36 * q^88 - 76 * q^90 - 88 * q^91 - 140 * q^92 - 20 * q^93 - 16 * q^94 - 80 * q^95 - 36 * q^96 - 24 * q^97 + 62 * q^98 - 12 * 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.