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

• Label: 1881.2.y
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.y
• Rep. character: $\chi_{1881}(1376,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $128$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1881 = 3^{2} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1881.y (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 57 \)
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	496	128	368
Cusp forms	464	128	336
Eisenstein series	32	0	32

Trace form

\( 128 q - 48 q^{4} - 16 q^{7} + O(q^{10}) \)

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

\( S_{2}^{\mathrm{old}}(1881, [\chi]) \cong \)