Space of modular forms of level 1881, weight 2, and Character 1881.dn

• Label: 1881.2.dn
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.dn
• Rep. character: $\chi_{1881}(160,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $1888$
• Sturm bound: $480$

Defining parameters

Level:	$N$	$=$	$1881 = 3^{2} \cdot 11 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1881.dn (of order $30$ and degree $8$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1881$
Character field:			$\Q(\zeta_{30})$
Sturm bound:			$480$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(1881, [\chi])$.

	Total	New	Old
Modular forms	1952	1952	0
Cusp forms	1888	1888	0
Eisenstein series	64	64	0

Trace form

1888 * q - 15 * q^2 - 15 * q^3 + 235 * q^4 - 6 * q^5 - 10 * q^6 - 10 * q^7 + 3 * q^9 - 7 * q^11 - 30 * q^12 - 15 * q^13 - 9 * q^15 + 223 * q^16 - 10 * q^17 - 35 * q^19 + 16 * q^20 + 8 * q^23 - 10 * q^24 - 446 * q^25 + 16 * q^26 - 10 * q^28 + 40 * q^30 + 24 * q^33 - 10 * q^35 - 86 * q^36 - 51 * q^38 - 35 * q^39 - 71 * q^42 + 7 * q^44 - 86 * q^45 - 30 * q^47 - 30 * q^48 - 218 * q^49 + 75 * q^50 - 30 * q^51 - 15 * q^52 - 18 * q^53 - 13 * q^55 - 300 * q^56 + 15 * q^57 + 2 * q^58 - 54 * q^60 - 10 * q^61 - 10 * q^62 - 5 * q^63 - 436 * q^64 + q^66 - 42 * q^67 + 10 * q^68 - 45 * q^69 - 18 * q^71 - 15 * q^72 - 10 * q^73 + 5 * q^74 + 39 * q^75 - 10 * q^77 - 6 * q^78 - 15 * q^79 - 58 * q^80 + 3 * q^81 - 7 * q^82 + 15 * q^83 - 60 * q^84 + 5 * q^85 - 9 * q^86 - 57 * q^88 - 48 * q^89 + 105 * q^90 + 24 * q^91 + 27 * q^92 + 41 * q^93 - 45 * q^95 + 285 * q^96 - 90 * q^97 - 39 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(1881, [\chi])$ into newform subspaces

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