Space of modular forms of level 1760, weight 2, and Character 1760.ef

• Label: 1760.2.ef
• Level: $1760$
• Weight: $2$
• Character orbit: 1760.ef
• Rep. character: $\chi_{1760}(147,\cdot)$
• Character field: $\Q(\zeta_{40})$
• Dimension: $4544$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1760 = 2^{5} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1760.ef (of order \(40\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1760 \)
Character field:			\(\Q(\zeta_{40})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1760, [\chi])\).

	Total	New	Old
Modular forms	4672	4672	0
Cusp forms	4544	4544	0
Eisenstein series	128	128	0

Trace form

4544 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 24 * q^6 - 12 * q^8 - 32 * q^10 - 32 * q^11 - 12 * q^13 - 32 * q^14 - 24 * q^15 - 24 * q^16 - 28 * q^18 - 12 * q^20 - 64 * q^21 + 64 * q^24 - 12 * q^25 - 24 * q^26 + 12 * q^27 - 44 * q^28 - 12 * q^30 + 8 * q^32 - 32 * q^33 - 52 * q^35 - 24 * q^36 - 12 * q^37 + 44 * q^38 - 52 * q^40 - 24 * q^41 - 60 * q^42 + 32 * q^43 - 32 * q^45 - 24 * q^46 - 24 * q^47 - 12 * q^48 + 1040 * q^49 + 4 * q^50 - 24 * q^51 - 60 * q^52 - 12 * q^53 + 112 * q^54 + 16 * q^55 - 160 * q^56 - 24 * q^57 - 12 * q^58 - 44 * q^60 - 24 * q^61 - 28 * q^62 - 112 * q^63 - 96 * q^64 - 64 * q^65 - 112 * q^66 - 32 * q^67 - 36 * q^68 + 72 * q^69 + 72 * q^70 - 56 * q^71 + 232 * q^72 - 24 * q^73 - 36 * q^75 - 64 * q^76 - 44 * q^77 - 240 * q^78 - 184 * q^80 - 68 * q^82 - 132 * q^83 + 168 * q^84 - 12 * q^85 - 24 * q^86 - 64 * q^87 + 196 * q^88 + 108 * q^90 - 24 * q^91 - 116 * q^92 - 36 * q^93 - 88 * q^96 - 24 * q^97 - 424 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1760, [\chi])\) into newform subspaces

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