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

• Label: 2480.2.y
• Level: $2480$
• Weight: $2$
• Character orbit: 2480.y
• Rep. character: $\chi_{2480}(619,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $760$
• Sturm bound: $768$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	776	776	0
Cusp forms	760	760	0
Eisenstein series	16	16	0

Trace form

760 * q - 8 * q^4 - 4 * q^5 + 2 * q^10 + 24 * q^14 + 8 * q^19 - 4 * q^20 + 4 * q^35 - 24 * q^36 - 16 * q^39 + 16 * q^40 + 28 * q^45 - 728 * q^49 - 26 * q^50 - 16 * q^51 + 48 * q^56 + 24 * q^59 - 20 * q^64 + 128 * q^66 - 64 * q^69 + 30 * q^70 - 80 * q^71 - 100 * q^76 - 114 * q^80 - 712 * q^81 - 52 * q^90 + 120 * q^94

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

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