Space of modular forms of level 2720, weight 2, and Character 2720.fb

• Label: 2720.2.fb
• Level: $2720$
• Weight: $2$
• Character orbit: 2720.fb
• Rep. character: $\chi_{2720}(667,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $1712$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2720 = 2^{5} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2720.fb (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2720 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2720, [\chi])\).

	Total	New	Old
Modular forms	1744	1744	0
Cusp forms	1712	1712	0
Eisenstein series	32	32	0

Trace form

1712 * q - 4 * q^5 - 8 * q^6 - 8 * q^7 - 4 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 + 32 * q^14 - 16 * q^16 + 8 * q^18 - 4 * q^20 - 16 * q^21 - 8 * q^22 - 8 * q^23 - 8 * q^24 - 24 * q^27 - 8 * q^28 - 48 * q^30 - 16 * q^33 - 8 * q^35 - 8 * q^37 - 8 * q^38 + 28 * q^40 - 16 * q^41 - 48 * q^42 - 16 * q^44 - 12 * q^45 + 24 * q^46 - 16 * q^47 + 64 * q^48 - 24 * q^50 - 8 * q^51 - 8 * q^52 + 32 * q^54 - 8 * q^55 - 8 * q^56 + 8 * q^57 + 56 * q^58 - 64 * q^59 + 40 * q^60 - 40 * q^61 + 112 * q^63 - 8 * q^65 - 8 * q^67 + 8 * q^68 - 72 * q^72 + 8 * q^73 + 8 * q^75 - 56 * q^77 - 8 * q^78 + 32 * q^79 - 60 * q^80 - 88 * q^82 + 16 * q^85 - 16 * q^86 + 168 * q^90 + 24 * q^91 - 32 * q^92 - 24 * q^93 + 176 * q^94 - 8 * q^96 - 16 * q^97 + 8 * q^98 + 24 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2720, [\chi])\) into newform subspaces

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