Space of modular forms of level 2128, weight 2, and Character 2128.en

• Label: 2128.2.en
• Level: $2128$
• Weight: $2$
• Character orbit: 2128.en
• Rep. character: $\chi_{2128}(677,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1264$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 2128 = 2^{4} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2128.en (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2128 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2128, [\chi])\).

	Total	New	Old
Modular forms	1296	1296	0
Cusp forms	1264	1264	0
Eisenstein series	32	32	0

Trace form

1264 * q - 6 * q^3 - 4 * q^4 - 48 * q^10 - 4 * q^11 - 18 * q^14 - 24 * q^15 - 4 * q^16 - 12 * q^17 - 24 * q^18 - 6 * q^19 - 6 * q^21 - 12 * q^22 - 6 * q^24 - 12 * q^26 - 36 * q^27 - 14 * q^28 - 12 * q^29 - 8 * q^30 - 24 * q^33 + 36 * q^35 + 12 * q^36 - 6 * q^38 - 12 * q^40 - 54 * q^42 - 4 * q^43 - 20 * q^44 - 30 * q^45 - 24 * q^46 - 12 * q^47 - 16 * q^49 - 6 * q^51 - 6 * q^52 + 60 * q^56 - 18 * q^58 - 6 * q^59 - 6 * q^60 - 6 * q^61 - 120 * q^62 - 60 * q^63 + 20 * q^64 + 18 * q^68 - 36 * q^69 + 36 * q^70 - 138 * q^72 + 30 * q^74 + 30 * q^75 + 90 * q^76 - 36 * q^77 - 96 * q^78 + 572 * q^81 - 30 * q^82 + 16 * q^85 - 6 * q^86 - 108 * q^90 - 48 * q^91 + 12 * q^92 + 20 * q^93 + 44 * q^95 - 216 * q^96 + 48 * q^98 - 34 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2128, [\chi])\) into newform subspaces

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