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

• Label: 1248.2.eg
• Level: $1248$
• Weight: $2$
• Character orbit: 1248.eg
• Rep. character: $\chi_{1248}(149,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $1760$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1248 = 2^{5} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1248.eg (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1248 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(448\)

Dimensions

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

	Total	New	Old
Modular forms	1824	1824	0
Cusp forms	1760	1760	0
Eisenstein series	64	64	0

Trace form

1760 * q - 4 * q^3 - 24 * q^4 + 16 * q^6 - 24 * q^7 - 4 * q^9 - 24 * q^10 + 24 * q^12 - 16 * q^13 - 8 * q^16 - 16 * q^19 - 20 * q^21 - 96 * q^22 - 40 * q^24 - 16 * q^27 - 96 * q^28 - 12 * q^30 - 32 * q^31 - 16 * q^33 - 32 * q^34 - 48 * q^36 - 16 * q^37 + 40 * q^39 - 32 * q^40 + 36 * q^42 - 56 * q^43 - 48 * q^45 + 32 * q^46 - 4 * q^48 + 784 * q^49 - 16 * q^52 - 8 * q^54 - 40 * q^55 - 16 * q^57 + 56 * q^58 + 8 * q^60 - 8 * q^61 - 16 * q^63 - 16 * q^66 - 16 * q^67 - 12 * q^69 - 168 * q^70 - 32 * q^73 - 12 * q^75 - 80 * q^76 + 200 * q^78 + 80 * q^82 + 40 * q^84 - 56 * q^85 - 4 * q^87 - 136 * q^88 - 120 * q^91 - 44 * q^93 + 16 * q^94 + 104 * q^96 - 32 * q^97 - 172 * q^99

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

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