Space of modular forms of level 3871, weight 2, and Character 3871.cz

• Label: 3871.2.cz
• Level: $3871$
• Weight: $2$
• Character orbit: 3871.cz
• Rep. character: $\chi_{3871}(3,\cdot)$
• Character field: $\Q(\zeta_{546})$
• Dimension: $53424$
• Sturm bound: $746$

Defining parameters

Level:	\( N \)	\(=\)	\( 3871 = 7^{2} \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3871.cz (of order \(546\) and degree \(144\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3871 \)
Character field:			\(\Q(\zeta_{546})\)
Sturm bound:			\(746\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3871, [\chi])\).

	Total	New	Old
Modular forms	54000	54000	0
Cusp forms	53424	53424	0
Eisenstein series	576	576	0

Trace form

53424 * q - 164 * q^2 - 126 * q^3 + 572 * q^4 - 139 * q^5 - 161 * q^6 - 134 * q^7 - 114 * q^8 - 527 * q^9 - 127 * q^10 - 164 * q^11 - 153 * q^12 - 157 * q^13 + 528 * q^14 - 172 * q^15 + 556 * q^16 - 143 * q^17 + 62 * q^18 - 231 * q^19 - 205 * q^20 - 121 * q^21 - 332 * q^22 - 96 * q^23 - 225 * q^24 + 50 * q^25 - 142 * q^26 - 156 * q^27 - 128 * q^28 - 115 * q^29 - 78 * q^30 - 312 * q^31 - 168 * q^32 - 149 * q^33 - 179 * q^34 - 219 * q^35 - 512 * q^36 + 54 * q^37 - 159 * q^38 - 176 * q^39 - 142 * q^40 - 164 * q^41 + 134 * q^42 - 118 * q^43 - 200 * q^44 - 51 * q^45 - 204 * q^46 - 271 * q^47 - 30 * q^48 - 98 * q^49 - 427 * q^50 - 92 * q^51 - 220 * q^52 - 148 * q^53 - 86 * q^54 - 314 * q^55 - 276 * q^56 - 4 * q^57 - 307 * q^58 - 98 * q^59 - 2094 * q^60 - 214 * q^61 - 168 * q^62 - 705 * q^63 + 578 * q^64 - 146 * q^65 - 2388 * q^66 - 54 * q^67 - 183 * q^68 - 323 * q^69 - 360 * q^70 - 130 * q^71 - 195 * q^72 - 136 * q^73 - 148 * q^74 - 103 * q^75 - 67 * q^76 - 17 * q^77 - 168 * q^78 - 107 * q^79 - 603 * q^80 - 477 * q^81 - 92 * q^82 + 17 * q^83 - 462 * q^84 - 76 * q^85 - 154 * q^86 + 67 * q^87 - 151 * q^88 - 124 * q^89 - 49 * q^90 - 347 * q^91 - 75 * q^92 - 467 * q^93 - 143 * q^94 + 33 * q^95 - 167 * q^96 - 169 * q^97 + 91 * q^98 - 368 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3871, [\chi])\) into newform subspaces

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