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

• Label: 2720.2.dx
• Level: $2720$
• Weight: $2$
• Character orbit: 2720.dx
• Rep. character: $\chi_{2720}(1107,\cdot)$
• 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.dx (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 - 8 * q^3 - 8 * q^4 - 4 * q^5 + 4 * q^10 - 16 * q^11 + 8 * q^12 - 8 * q^15 - 32 * q^16 - 32 * q^18 - 16 * q^19 - 4 * q^20 - 12 * q^22 - 8 * q^26 + 16 * q^27 + 12 * q^28 + 8 * q^30 - 16 * q^31 - 40 * q^32 - 40 * q^33 - 16 * q^34 + 12 * q^35 - 8 * q^36 - 8 * q^37 - 24 * q^40 - 8 * q^41 - 24 * q^42 + 16 * q^44 + 4 * q^45 + 4 * q^48 - 8 * q^50 + 8 * q^51 - 8 * q^52 - 8 * q^53 - 40 * q^55 - 24 * q^56 - 8 * q^57 + 8 * q^58 + 20 * q^60 + 24 * q^61 + 48 * q^62 + 32 * q^63 + 16 * q^64 - 28 * q^65 - 104 * q^66 - 8 * q^67 + 12 * q^68 - 24 * q^69 - 4 * q^70 - 40 * q^71 + 88 * q^72 - 8 * q^73 - 16 * q^74 + 40 * q^76 - 8 * q^77 + 4 * q^78 - 32 * q^79 + 100 * q^80 - 1584 * q^81 + 44 * q^82 - 8 * q^83 - 24 * q^84 + 16 * q^85 - 16 * q^86 - 8 * q^87 - 80 * q^88 + 4 * q^90 - 56 * q^92 - 24 * q^93 + 64 * q^94 + 20 * q^95 - 96 * q^96 - 8 * q^97 - 16 * q^98

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

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