Space of modular forms of level 1148, weight 2, and Character 1148.c

• Label: 1148.2.c
• Level: $1148$
• Weight: $2$
• Character orbit: 1148.c
• Rep. character: $\chi_{1148}(1147,\cdot)$
• Character field: $\Q$
• Dimension: $164$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1148 = 2^{2} \cdot 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1148.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1148 \)
Character field:			\(\Q\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1148, [\chi])\).

	Total	New	Old
Modular forms	172	172	0
Cusp forms	164	164	0
Eisenstein series	8	8	0

Trace form

\( 164 q - 4 q^{2} - 4 q^{4} - 16 q^{8} - 164 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1148, [\chi])\) into newform subspaces

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