Space of modular forms of level 3920, weight 2, and Character 3920.gd

• Label: 3920.2.gd
• Level: $3920$
• Weight: $2$
• Character orbit: 3920.gd
• Rep. character: $\chi_{3920}(107,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $16032$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 3920 = 2^{4} \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3920.gd (of order \(84\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3920 \)
Character field:			\(\Q(\zeta_{84})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3920, [\chi])\).

	Total	New	Old
Modular forms	16224	16224	0
Cusp forms	16032	16032	0
Eisenstein series	192	192	0

Trace form

16032 * q - 26 * q^2 - 52 * q^3 - 26 * q^5 - 40 * q^6 - 48 * q^7 - 32 * q^8 + 1320 * q^9 - 18 * q^10 - 52 * q^11 - 38 * q^12 - 24 * q^15 - 52 * q^16 - 52 * q^17 - 14 * q^18 + 4 * q^20 - 48 * q^21 - 28 * q^22 - 52 * q^23 + 12 * q^24 - 52 * q^26 - 64 * q^27 - 42 * q^28 - 40 * q^30 - 26 * q^32 - 52 * q^33 - 40 * q^34 - 2 * q^35 - 72 * q^36 - 40 * q^38 - 36 * q^40 + 18 * q^42 - 40 * q^45 - 52 * q^46 - 24 * q^47 - 28 * q^48 - 48 * q^50 - 52 * q^51 + 24 * q^52 - 52 * q^53 + 68 * q^54 - 40 * q^55 - 48 * q^56 + 60 * q^57 - 38 * q^58 - 16 * q^59 + 8 * q^60 - 52 * q^61 + 32 * q^62 - 12 * q^63 - 52 * q^65 - 76 * q^66 + 26 * q^68 - 24 * q^69 - 32 * q^70 - 240 * q^71 + 218 * q^72 + 44 * q^74 - 38 * q^75 - 40 * q^76 - 76 * q^77 - 148 * q^78 + 26 * q^80 + 1168 * q^81 - 130 * q^82 - 40 * q^83 - 60 * q^84 - 44 * q^86 - 52 * q^87 - 328 * q^88 + 348 * q^90 - 32 * q^91 - 40 * q^92 + 24 * q^94 + 128 * q^96 - 96 * q^97 - 380 * q^98 - 24 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3920, [\chi])\) into newform subspaces

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