Space of modular forms of level 1287, weight 2, and Character 1287.w

• Label: 1287.2.w
• Level: $1287$
• Weight: $2$
• Character orbit: 1287.w
• Rep. character: $\chi_{1287}(692,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $112$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1287 = 3^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1287.w (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 429 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1287, [\chi])\).

	Total	New	Old
Modular forms	352	112	240
Cusp forms	320	112	208
Eisenstein series	32	0	32

Trace form

\( 112 q - 56 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1287, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1287, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1287, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 2}\)