Space of modular forms of level 1100, weight 2, and Character 1100.w

• Label: 1100.2.w
• Level: $1100$
• Weight: $2$
• Character orbit: 1100.w
• Rep. character: $\chi_{1100}(219,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $704$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1100 = 2^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1100.w (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1100 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1100, [\chi])\).

	Total	New	Old
Modular forms	736	736	0
Cusp forms	704	704	0
Eisenstein series	32	32	0

Trace form

\( 704 q - 6 q^{4} - 16 q^{5} - 180 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1100, [\chi])\) into newform subspaces

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