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Properties

Label 1849.2.m
Level $1849$
Weight $2$
Character orbit 1849.m
Rep. character $\chi_{1849}(4,\cdot)$
Character field $\Q(\zeta_{301})$
Dimension $39312$
Sturm bound $315$

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Defining parameters

Level: \( N \) \(=\) \( 1849 = 43^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1849.m (of order \(301\) and degree \(252\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1849 \)
Character field: \(\Q(\zeta_{301})\)
Sturm bound: \(315\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1849, [\chi])\).

Total New Old
Modular forms 39816 39816 0
Cusp forms 39312 39312 0
Eisenstein series 504 504 0

Trace form

\( 39312 q - 256 q^{2} - 257 q^{3} - 102 q^{4} - 257 q^{5} - 256 q^{6} - 242 q^{7} - 252 q^{8} - 97 q^{9} + O(q^{10}) \) \( 39312 q - 256 q^{2} - 257 q^{3} - 102 q^{4} - 257 q^{5} - 256 q^{6} - 242 q^{7} - 252 q^{8} - 97 q^{9} - 265 q^{10} - 261 q^{11} - 269 q^{12} - 253 q^{13} - 200 q^{14} - 249 q^{15} - 112 q^{16} - 261 q^{17} - 271 q^{18} - 41 q^{19} - 273 q^{20} - 266 q^{21} - 264 q^{22} - 173 q^{23} - 254 q^{24} - 101 q^{25} - 261 q^{26} - 287 q^{27} - 279 q^{28} - 273 q^{29} + 59 q^{30} - 147 q^{31} - 222 q^{32} - 278 q^{33} - 270 q^{34} - 90 q^{35} - 1166 q^{36} - 240 q^{37} - 145 q^{38} - 263 q^{39} - 277 q^{40} - 282 q^{41} - 220 q^{42} - 216 q^{43} - 220 q^{44} - 232 q^{45} - 274 q^{46} - 272 q^{47} - 269 q^{48} - 1178 q^{49} - 270 q^{50} - 234 q^{51} - 257 q^{52} - 159 q^{53} - 286 q^{54} - 277 q^{55} - 253 q^{56} - 120 q^{57} - 233 q^{58} - 288 q^{59} - 277 q^{60} - 289 q^{61} - 303 q^{62} - 267 q^{63} - 132 q^{64} - 277 q^{65} + 937 q^{66} - 235 q^{67} + 299 q^{68} - 259 q^{69} - 232 q^{70} - 312 q^{71} + 373 q^{72} - 270 q^{73} - 242 q^{74} + 376 q^{75} - 118 q^{76} - 237 q^{77} - 239 q^{78} - 268 q^{79} - 220 q^{80} - 22 q^{81} + 261 q^{82} - 238 q^{83} - 230 q^{84} - 230 q^{85} - 210 q^{86} + 318 q^{87} - 230 q^{88} - 280 q^{89} + 528 q^{90} - 254 q^{91} - 270 q^{92} - 230 q^{93} + 281 q^{94} - 26 q^{95} - 274 q^{96} + 297 q^{97} - 284 q^{98} - 42 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1849, [\chi])\) into newform subspaces

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