Space of modular forms of level 3392, weight 2, and Character 3392.cr

• Label: 3392.2.cr
• Level: $3392$
• Weight: $2$
• Character orbit: 3392.cr
• Rep. character: $\chi_{3392}(3,\cdot)$
• Character field: $\Q(\zeta_{208})$
• Dimension: $41280$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 3392 = 2^{6} \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3392.cr (of order \(208\) and degree \(96\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3392 \)
Character field:			\(\Q(\zeta_{208})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3392, [\chi])\).

	Total	New	Old
Modular forms	41664	41664	0
Cusp forms	41280	41280	0
Eisenstein series	384	384	0

Trace form

41280 * q - 96 * q^2 - 96 * q^3 - 104 * q^4 - 96 * q^5 - 104 * q^6 - 104 * q^7 - 96 * q^8 - 104 * q^9 + 120 * q^10 - 104 * q^11 - 96 * q^12 - 88 * q^13 - 96 * q^14 - 88 * q^15 - 88 * q^16 - 104 * q^17 - 136 * q^18 - 96 * q^19 - 96 * q^20 - 96 * q^21 - 104 * q^22 - 80 * q^23 - 88 * q^24 - 104 * q^25 - 96 * q^26 - 96 * q^27 - 88 * q^28 - 104 * q^29 - 192 * q^30 - 192 * q^31 - 96 * q^32 - 112 * q^34 - 96 * q^35 - 248 * q^36 - 104 * q^37 - 104 * q^38 - 96 * q^39 - 104 * q^40 - 96 * q^41 - 88 * q^42 + 72 * q^43 - 88 * q^44 - 120 * q^45 - 88 * q^46 - 88 * q^47 - 96 * q^48 - 88 * q^49 - 96 * q^50 - 88 * q^51 - 128 * q^52 - 96 * q^53 - 320 * q^54 - 96 * q^55 + 40 * q^56 - 104 * q^57 - 96 * q^58 - 104 * q^59 - 104 * q^60 + 672 * q^61 - 104 * q^62 - 104 * q^64 - 192 * q^65 - 88 * q^66 - 176 * q^67 - 88 * q^68 - 88 * q^69 - 248 * q^70 - 96 * q^71 - 96 * q^72 - 96 * q^73 - 240 * q^74 - 56 * q^75 - 32 * q^76 - 88 * q^77 - 104 * q^78 - 104 * q^79 - 240 * q^80 - 88 * q^81 - 104 * q^82 - 176 * q^83 - 248 * q^84 - 56 * q^85 - 96 * q^86 - 96 * q^87 - 88 * q^88 - 88 * q^89 - 104 * q^90 - 104 * q^91 - 160 * q^92 - 104 * q^93 - 176 * q^94 - 176 * q^95 - 56 * q^96 - 136 * q^98 - 88 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3392, [\chi])\) into newform subspaces

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