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

• Label: 1881.2.co
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.co
• Rep. character: $\chi_{1881}(241,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1416$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1881 = 3^{2} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1881.co (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1881 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(480\)

Dimensions

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

	Total	New	Old
Modular forms	1464	1464	0
Cusp forms	1416	1416	0
Eisenstein series	48	48	0

Trace form

1416 * q - 24 * q^3 - 6 * q^4 - 6 * q^5 - 48 * q^9 - 6 * q^11 - 18 * q^12 - 30 * q^14 - 12 * q^15 - 18 * q^16 - 12 * q^20 + 12 * q^22 - 6 * q^23 - 6 * q^25 + 36 * q^26 - 36 * q^27 - 42 * q^33 - 6 * q^34 - 144 * q^36 - 18 * q^38 - 144 * q^42 - 9 * q^44 + 30 * q^45 + 30 * q^47 + 96 * q^48 + 642 * q^49 - 24 * q^53 - 27 * q^55 - 126 * q^56 - 12 * q^58 - 60 * q^59 + 90 * q^60 - 636 * q^64 + 51 * q^66 - 42 * q^67 - 18 * q^69 - 90 * q^70 - 24 * q^71 + 36 * q^77 + 54 * q^78 + 120 * q^80 - 144 * q^81 - 6 * q^82 - 6 * q^86 - 9 * q^88 - 24 * q^89 + 18 * q^91 - 18 * q^92 - 60 * q^93 + 102 * q^97 - 3 * 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.