Space of modular forms of level 1248, weight 2, and Character 1248.bf

• Label: 1248.2.bf
• Level: $1248$
• Weight: $2$
• Character orbit: 1248.bf
• Rep. character: $\chi_{1248}(161,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $112$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1248 = 2^{5} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1248.bf (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 39 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1248, [\chi])\).

	Total	New	Old
Modular forms	480	112	368
Cusp forms	416	112	304
Eisenstein series	64	0	64

Trace form

\( 112 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1248, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1248, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1248, [\chi]) \cong \)