Space of modular forms of level 1155, weight 2, and Character 1155.f

• Label: 1155.2.f
• Level: $1155$
• Weight: $2$
• Character orbit: 1155.f
• Rep. character: $\chi_{1155}(659,\cdot)$
• Character field: $\Q$
• Dimension: $144$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1155.f (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 165 \)
Character field:			\(\Q\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1155, [\chi])\).

	Total	New	Old
Modular forms	200	144	56
Cusp forms	184	144	40
Eisenstein series	16	0	16

Trace form

\( 144 q - 144 q^{4} + 8 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1155, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1155, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1155, [\chi]) \cong \)