Space of modular forms of level 880, weight 4, and Character 880.ch

• Label: 880.4.ch
• Level: $880$
• Weight: $4$
• Character orbit: 880.ch
• Rep. character: $\chi_{880}(3,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $3424$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 880 = 2^{4} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	880.ch (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 880 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(880, [\chi])\).

	Total	New	Old
Modular forms	3488	3488	0
Cusp forms	3424	3424	0
Eisenstein series	64	64	0

Trace form

3424 * q - 6 * q^2 - 12 * q^3 - 6 * q^5 - 12 * q^6 - 12 * q^7 - 6 * q^8 - 7560 * q^9 - 48 * q^10 - 16 * q^11 + 140 * q^12 + 216 * q^15 - 12 * q^16 - 12 * q^17 + 134 * q^18 - 6 * q^20 - 32 * q^21 - 78 * q^22 - 32 * q^23 + 216 * q^24 - 556 * q^26 + 204 * q^27 - 262 * q^28 + 1056 * q^30 - 356 * q^32 - 16 * q^33 + 1504 * q^34 - 506 * q^35 + 500 * q^36 + 998 * q^38 - 1628 * q^40 + 1014 * q^42 + 4720 * q^44 + 592 * q^45 - 12 * q^46 + 102 * q^48 - 1384 * q^50 - 12 * q^51 + 2546 * q^52 - 12 * q^53 + 8856 * q^54 - 16 * q^55 + 304 * q^56 + 216 * q^57 + 750 * q^58 + 688 * q^59 + 1108 * q^60 - 12 * q^61 + 2592 * q^62 - 324 * q^63 - 32 * q^65 + 3000 * q^66 - 1726 * q^68 - 324 * q^69 - 2722 * q^70 + 200 * q^71 + 4220 * q^72 - 652 * q^74 - 3210 * q^75 - 32 * q^76 + 1356 * q^77 - 1092 * q^78 - 4018 * q^80 - 64176 * q^81 + 3470 * q^82 - 8052 * q^83 + 360 * q^84 - 506 * q^85 + 1612 * q^86 - 32 * q^87 + 9950 * q^88 - 2824 * q^90 - 860 * q^91 - 84 * q^92 + 1296 * q^94 - 3720 * q^95 + 6164 * q^96 - 12 * q^97 - 10900 * q^98 + 2764 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(880, [\chi])\) into newform subspaces

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