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

• Label: 1881.2.r
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.r
• Rep. character: $\chi_{1881}(221,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $400$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1881 = 3^{2} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1881.r (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 171 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(480\)

Dimensions

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

	Total	New	Old
Modular forms	488	400	88
Cusp forms	472	400	72
Eisenstein series	16	0	16

Trace form

400 * q - 200 * q^4 - 2 * q^7 + 6 * q^13 - 24 * q^15 - 200 * q^16 + 18 * q^17 - 4 * q^19 - 42 * q^20 - 24 * q^23 + 28 * q^24 - 400 * q^25 - 18 * q^27 - 8 * q^28 + 36 * q^30 - 24 * q^31 - 10 * q^36 + 20 * q^39 + 2 * q^42 + 8 * q^43 - 24 * q^45 - 198 * q^49 + 24 * q^50 - 6 * q^51 - 24 * q^52 + 24 * q^53 - 12 * q^54 + 40 * q^57 - 72 * q^60 + 28 * q^61 + 36 * q^62 + 12 * q^63 + 352 * q^64 + 72 * q^65 + 20 * q^66 - 42 * q^67 - 72 * q^68 + 36 * q^69 - 18 * q^71 + 168 * q^72 + 14 * q^73 - 78 * q^74 + 102 * q^75 + 32 * q^76 - 60 * q^78 + 6 * q^79 + 84 * q^80 - 64 * q^81 + 24 * q^83 + 192 * q^84 - 108 * q^86 + 68 * q^87 + 36 * q^89 - 48 * q^90 - 24 * q^91 + 132 * q^92 + 16 * q^93 + 72 * q^95 - 32 * q^96 + 72 * q^98

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1881, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1881, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(171, [\chi])\)\(^{\oplus 2}\)