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

• Label: 1100.2.g
• Level: $1100$
• Weight: $2$
• Character orbit: 1100.g
• Rep. character: $\chi_{1100}(1099,\cdot)$
• Character field: $\Q$
• Dimension: $104$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1100 = 2^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1100.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 220 \)
Character field:			\(\Q\)
Sturm bound:			\(360\)

Dimensions

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

	Total	New	Old
Modular forms	192	112	80
Cusp forms	168	104	64
Eisenstein series	24	8	16

Trace form

\( 104 q + 4 q^{4} + 104 q^{9} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1100, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1100, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 2}\)