Space of modular forms of level 1008, weight 2, and Character 1008.ea

• Label: 1008.2.ea
• Level: $1008$
• Weight: $2$
• Character orbit: 1008.ea
• Rep. character: $\chi_{1008}(347,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $752$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1008.ea (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1008 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1008, [\chi])\).

	Total	New	Old
Modular forms	784	784	0
Cusp forms	752	752	0
Eisenstein series	32	32	0

Trace form

752 * q - 6 * q^2 - 2 * q^3 + 2 * q^4 - 8 * q^6 - 4 * q^7 - 4 * q^10 - 2 * q^12 - 4 * q^13 - 6 * q^14 + 2 * q^16 - 14 * q^18 - 4 * q^19 - 12 * q^20 - 16 * q^21 - 4 * q^22 - 22 * q^24 - 8 * q^27 - 16 * q^28 - 12 * q^29 + 46 * q^30 - 6 * q^32 - 4 * q^33 - 8 * q^34 + 30 * q^35 - 20 * q^36 - 4 * q^37 - 4 * q^39 - 4 * q^40 + 18 * q^42 - 4 * q^43 - 66 * q^44 - 42 * q^45 + 4 * q^46 + 32 * q^48 - 4 * q^49 - 12 * q^50 - 54 * q^51 - 4 * q^52 - 118 * q^54 - 32 * q^55 + 36 * q^56 - 4 * q^58 - 6 * q^59 - 66 * q^60 + 2 * q^61 - 16 * q^64 - 12 * q^65 + 30 * q^66 + 2 * q^67 - 2 * q^69 - 16 * q^70 - 46 * q^72 + 12 * q^75 - 4 * q^76 - 6 * q^77 + 34 * q^78 - 4 * q^81 - 72 * q^83 + 44 * q^84 - 14 * q^85 - 4 * q^87 - 4 * q^88 - 80 * q^90 + 20 * q^91 - 12 * q^92 - 14 * q^93 + 18 * q^94 + 36 * q^96 - 8 * q^97 - 114 * q^98 - 26 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1008, [\chi])\) into newform subspaces

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