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

• Label: 1248.2.cp
• Level: $1248$
• Weight: $2$
• Character orbit: 1248.cp
• Rep. character: $\chi_{1248}(155,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $880$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1248 = 2^{5} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1248.cp (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1248 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(448\)

Dimensions

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

	Total	New	Old
Modular forms	912	912	0
Cusp forms	880	880	0
Eisenstein series	32	32	0

Trace form

880 * q - 8 * q^3 - 16 * q^4 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 8 * q^13 - 16 * q^16 - 32 * q^22 - 16 * q^25 + 40 * q^27 - 24 * q^30 + 16 * q^36 + 20 * q^39 - 16 * q^40 + 32 * q^42 - 16 * q^43 - 112 * q^48 - 32 * q^51 - 64 * q^52 + 16 * q^55 - 16 * q^61 - 16 * q^64 + 40 * q^66 - 8 * q^69 - 48 * q^75 - 92 * q^78 - 32 * q^79 - 96 * q^82 - 8 * q^87 + 64 * q^88 + 136 * q^90 + 40 * q^91 - 96 * q^94

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

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