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Properties

Label 2671.2
Level 2671
Weight 2
Dimension 295926
Nonzero newspaces 8
Sturm bound 1189040
Trace bound 1

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Defining parameters

Level: \( N \) = \( 2671 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(1189040\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(2671))\).

Total New Old
Modular forms 298595 298595 0
Cusp forms 295926 295926 0
Eisenstein series 2669 2669 0

Trace form

\( 295926 q - 1332 q^{2} - 1331 q^{3} - 1328 q^{4} - 1329 q^{5} - 1323 q^{6} - 1327 q^{7} - 1320 q^{8} - 1322 q^{9} + O(q^{10}) \) \( 295926 q - 1332 q^{2} - 1331 q^{3} - 1328 q^{4} - 1329 q^{5} - 1323 q^{6} - 1327 q^{7} - 1320 q^{8} - 1322 q^{9} - 1317 q^{10} - 1323 q^{11} - 1307 q^{12} - 1321 q^{13} - 1311 q^{14} - 1311 q^{15} - 1304 q^{16} - 1317 q^{17} - 1296 q^{18} - 1315 q^{19} - 1293 q^{20} - 1303 q^{21} - 1299 q^{22} - 1311 q^{23} - 1275 q^{24} - 1304 q^{25} - 1293 q^{26} - 1295 q^{27} - 1279 q^{28} - 1305 q^{29} - 1263 q^{30} - 1303 q^{31} - 1272 q^{32} - 1287 q^{33} - 1281 q^{34} - 1287 q^{35} - 1244 q^{36} - 1297 q^{37} - 1275 q^{38} - 1279 q^{39} - 1245 q^{40} - 1293 q^{41} - 1239 q^{42} - 1291 q^{43} - 1251 q^{44} - 1257 q^{45} - 1263 q^{46} - 1287 q^{47} - 1211 q^{48} - 1278 q^{49} - 1242 q^{50} - 1263 q^{51} - 1237 q^{52} - 1281 q^{53} - 1215 q^{54} - 1263 q^{55} - 1215 q^{56} - 1255 q^{57} - 1245 q^{58} - 1275 q^{59} - 1167 q^{60} - 1273 q^{61} - 1239 q^{62} - 1231 q^{63} - 1208 q^{64} - 1251 q^{65} - 1191 q^{66} - 1267 q^{67} - 1209 q^{68} - 1239 q^{69} - 1191 q^{70} - 1263 q^{71} - 1140 q^{72} - 1261 q^{73} - 1221 q^{74} - 1211 q^{75} - 1195 q^{76} - 1239 q^{77} - 1167 q^{78} - 1255 q^{79} - 1149 q^{80} - 1214 q^{81} - 1209 q^{82} - 1251 q^{83} - 1111 q^{84} - 1227 q^{85} - 1203 q^{86} - 1215 q^{87} - 1155 q^{88} - 1245 q^{89} - 1101 q^{90} - 1223 q^{91} - 1167 q^{92} - 1207 q^{93} - 1191 q^{94} - 1215 q^{95} - 1083 q^{96} - 1237 q^{97} - 1164 q^{98} - 1179 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(2671))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
2671.2.a \(\chi_{2671}(1, \cdot)\) 2671.2.a.a 100 1
2671.2.a.b 122
2671.2.c \(\chi_{2671}(544, \cdot)\) n/a 444 2
2671.2.d \(\chi_{2671}(1203, \cdot)\) n/a 884 4
2671.2.g \(\chi_{2671}(37, \cdot)\) n/a 1776 8
2671.2.i \(\chi_{2671}(18, \cdot)\) n/a 19448 88
2671.2.k \(\chi_{2671}(17, \cdot)\) n/a 39072 176
2671.2.l \(\chi_{2671}(2, \cdot)\) n/a 77792 352
2671.2.o \(\chi_{2671}(5, \cdot)\) n/a 156288 704

"n/a" means that newforms for that character have not been added to the database yet