Space of modular forms of level 1480, weight 2, and Character 1480.bk

• Label: 1480.2.bk
• Level: $1480$
• Weight: $2$
• Character orbit: 1480.bk
• Rep. character: $\chi_{1480}(413,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $448$
• Sturm bound: $456$

Defining parameters

Level:	\( N \)	\(=\)	\( 1480 = 2^{3} \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1480.bk (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1480 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1480, [\chi])\).

	Total	New	Old
Modular forms	464	464	0
Cusp forms	448	448	0
Eisenstein series	16	16	0

Trace form

448 * q - 4 * q^6 - 8 * q^7 - 4 * q^10 + 8 * q^12 + 8 * q^14 - 16 * q^15 - 8 * q^16 + 20 * q^18 - 8 * q^20 - 12 * q^22 + 4 * q^24 - 8 * q^26 + 16 * q^28 + 24 * q^30 - 8 * q^31 - 32 * q^33 - 60 * q^38 - 24 * q^39 - 36 * q^40 + 16 * q^42 - 56 * q^46 - 8 * q^47 + 44 * q^48 - 12 * q^50 + 16 * q^54 - 24 * q^55 - 56 * q^56 + 36 * q^58 - 12 * q^60 + 8 * q^62 + 24 * q^63 - 48 * q^64 - 40 * q^65 - 96 * q^66 + 52 * q^68 - 4 * q^70 - 16 * q^71 + 40 * q^72 - 40 * q^73 - 8 * q^74 + 4 * q^76 - 64 * q^78 - 28 * q^80 - 400 * q^81 + 44 * q^82 - 24 * q^86 - 96 * q^87 - 128 * q^88 + 108 * q^90 - 32 * q^94 + 40 * q^96 + 44 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1480, [\chi])\) into newform subspaces

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