Space of modular forms of level 3064, weight 2, and Character 3064.j

• Label: 3064.2.j
• Level: $3064$
• Weight: $2$
• Character orbit: 3064.j
• Rep. character: $\chi_{3064}(11,\cdot)$
• Character field: $\Q(\zeta_{382})$
• Dimension: $72580$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 3064 = 2^{3} \cdot 383 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3064.j (of order \(382\) and degree \(190\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3064 \)
Character field:			\(\Q(\zeta_{382})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3064, [\chi])\).

	Total	New	Old
Modular forms	73340	73340	0
Cusp forms	72580	72580	0
Eisenstein series	760	760	0

Trace form

72580 * q - 189 * q^2 - 378 * q^3 - 185 * q^4 - 181 * q^6 - 189 * q^8 - 756 * q^9 - 191 * q^10 - 382 * q^11 - 181 * q^12 - 183 * q^14 - 177 * q^16 - 378 * q^17 - 169 * q^18 - 394 * q^19 - 191 * q^20 - 191 * q^22 - 153 * q^24 - 752 * q^25 - 191 * q^26 - 366 * q^27 - 213 * q^28 - 191 * q^30 - 159 * q^32 - 382 * q^33 - 139 * q^34 - 382 * q^35 - 143 * q^36 - 189 * q^38 - 191 * q^40 - 382 * q^41 - 167 * q^42 - 410 * q^43 - 191 * q^44 - 185 * q^46 - 179 * q^48 - 8 * q^49 - 171 * q^50 - 390 * q^51 - 191 * q^52 - 105 * q^54 - 157 * q^56 - 366 * q^57 - 187 * q^58 - 382 * q^59 - 191 * q^60 - 155 * q^62 - 161 * q^64 - 358 * q^65 - 191 * q^66 - 378 * q^67 - 185 * q^68 - 191 * q^70 - 191 * q^72 - 378 * q^73 - 191 * q^74 - 378 * q^75 - 251 * q^76 - 191 * q^78 - 191 * q^80 - 716 * q^81 - 191 * q^82 - 382 * q^83 - 211 * q^84 - 241 * q^86 - 191 * q^88 - 382 * q^89 - 191 * q^90 - 382 * q^91 - 229 * q^92 - 191 * q^94 - 248 * q^96 - 382 * q^97 - 162 * q^98 - 382 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3064, [\chi])\) into newform subspaces

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