↑

Properties

Label 2151.4.n
Level $2151$
Weight $4$
Character orbit 2151.n
Rep. character $\chi_{2151}(283,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $8616$
Sturm bound $960$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 2151.n (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2151 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2151, [\chi])\).

Total New Old
Modular forms 8664 8664 0
Cusp forms 8616 8616 0
Eisenstein series 48 48 0

Trace form

\( 8616 q - 5 q^{2} - 10 q^{3} + 2859 q^{4} - 5 q^{5} - 10 q^{6} - 5 q^{7} - 22 q^{8} - 74 q^{9} + O(q^{10}) \) \( 8616 q - 5 q^{2} - 10 q^{3} + 2859 q^{4} - 5 q^{5} - 10 q^{6} - 5 q^{7} - 22 q^{8} - 74 q^{9} - 52 q^{10} - 13 q^{11} - 304 q^{12} - 5 q^{13} + 200 q^{14} - 196 q^{15} + 11403 q^{16} - 260 q^{17} - 266 q^{18} - 20 q^{19} - 245 q^{20} - 128 q^{21} - 44 q^{22} - 1564 q^{23} + 790 q^{24} + 17745 q^{25} + 1188 q^{26} + 416 q^{27} - 336 q^{28} + 915 q^{29} + 1079 q^{30} - 5 q^{31} - 1301 q^{32} - 816 q^{33} + 11 q^{34} - 3904 q^{35} + 8246 q^{36} - 20 q^{37} - 113 q^{38} - 2046 q^{39} + 334 q^{40} + 651 q^{41} - 3786 q^{42} - 5 q^{43} + 3968 q^{44} - 2796 q^{45} + 60 q^{46} + 1443 q^{47} - 3550 q^{48} + 34589 q^{49} - 781 q^{50} + 176 q^{51} - 1170 q^{52} - 3388 q^{53} - 3512 q^{54} - 520 q^{55} + 3913 q^{56} + 1754 q^{57} + 1448 q^{58} - 1639 q^{59} + 6795 q^{60} - 5 q^{61} - 90 q^{62} - 16 q^{63} - 91770 q^{64} + 159 q^{65} - 13595 q^{66} - 12 q^{67} - 5278 q^{68} - 177 q^{69} + 197 q^{70} + 12440 q^{71} + 2298 q^{72} - 48 q^{73} + 3459 q^{74} - 4260 q^{75} + 84 q^{76} + 847 q^{77} - 7276 q^{78} + 2335 q^{79} - 1180 q^{80} - 1058 q^{81} + 3458 q^{82} + 3825 q^{83} + 3824 q^{84} - 475 q^{85} + 3663 q^{86} + 3086 q^{87} + 3763 q^{88} - 8332 q^{89} - 4327 q^{90} - 384 q^{91} + 2399 q^{92} + 408 q^{93} - 2827 q^{94} + 16571 q^{95} - 9490 q^{96} - 5 q^{97} - 14452 q^{98} - 884 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(2151, [\chi])\) into newform subspaces

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