Properties

Label 2601.2.bd
Level $2601$
Weight $2$
Character orbit 2601.bd
Rep. character $\chi_{2601}(16,\cdot)$
Character field $\Q(\zeta_{102})$
Dimension $9728$
Sturm bound $612$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 2601 = 3^{2} \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2601.bd (of order \(102\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2601 \)
Character field: \(\Q(\zeta_{102})\)
Sturm bound: \(612\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2601, [\chi])\).

Total New Old
Modular forms 9856 9856 0
Cusp forms 9728 9728 0
Eisenstein series 128 128 0

Trace form

\( 9728q - 13q^{2} - 34q^{3} + 287q^{4} - 17q^{5} - 34q^{6} - 17q^{7} - 80q^{8} - 44q^{9} + O(q^{10}) \) \( 9728q - 13q^{2} - 34q^{3} + 287q^{4} - 17q^{5} - 34q^{6} - 17q^{7} - 80q^{8} - 44q^{9} - 68q^{10} - 17q^{11} - 34q^{12} - 15q^{13} + 68q^{14} - 34q^{15} + 287q^{16} - 52q^{17} - 28q^{18} - 48q^{19} - 17q^{20} - 53q^{21} - 17q^{22} - 17q^{23} - 204q^{24} - 311q^{25} - 92q^{26} - 34q^{27} - 68q^{28} - 17q^{29} - 60q^{30} - 17q^{31} + 19q^{32} - 148q^{33} - 17q^{34} - 56q^{35} - 40q^{36} - 68q^{37} + 166q^{38} + 34q^{39} - 17q^{41} + 4q^{42} - 9q^{43} - 68q^{44} + 68q^{45} - 68q^{46} - 37q^{47} - 255q^{48} - 307q^{49} - 73q^{50} + 86q^{51} - 27q^{52} - 100q^{53} + 85q^{54} - 40q^{55} - 17q^{56} - 34q^{57} - 17q^{58} + 7q^{59} + 64q^{60} - 17q^{61} + 136q^{62} - 34q^{63} - 688q^{64} - 480q^{66} + 30q^{67} - 69q^{68} - 101q^{69} - 5q^{70} - 68q^{71} - 147q^{72} - 68q^{73} - 17q^{74} - 55q^{76} + 35q^{77} - 34q^{78} - 17q^{79} - 136q^{80} - 140q^{81} - 68q^{82} + 53q^{83} - 98q^{84} - 39q^{85} + 11q^{86} - 104q^{87} - 17q^{88} - 60q^{89} - 34q^{90} - 68q^{91} - 17q^{92} - 112q^{93} - 23q^{94} - 17q^{95} + 255q^{96} - 17q^{97} - 432q^{98} - 34q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2601, [\chi])\) into newform subspaces

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