Properties

Label 2601.2.y
Level $2601$
Weight $2$
Character orbit 2601.y
Rep. character $\chi_{2601}(52,\cdot)$
Character field $\Q(\zeta_{51})$
Dimension $9728$
Sturm bound $612$

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Defining parameters

Level: \( N \) \(=\) \( 2601 = 3^{2} \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2601.y (of order \(51\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2601 \)
Character field: \(\Q(\zeta_{51})\)
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

\( 9728q - 17q^{2} - 32q^{3} + 287q^{4} - 15q^{5} - 36q^{6} - 15q^{7} - 56q^{8} - 28q^{9} + O(q^{10}) \) \( 9728q - 17q^{2} - 32q^{3} + 287q^{4} - 15q^{5} - 36q^{6} - 15q^{7} - 56q^{8} - 28q^{9} - 68q^{10} - 9q^{11} - 38q^{12} - 15q^{13} - 98q^{14} - 46q^{15} + 287q^{16} - 76q^{17} - 40q^{18} - 72q^{19} - 27q^{20} + 17q^{21} - 17q^{22} - 9q^{23} - 186q^{24} + 281q^{25} - 44q^{26} - 50q^{27} - 84q^{28} - 23q^{29} - 8q^{30} - 15q^{31} - 49q^{32} - 104q^{33} - 17q^{34} - 48q^{35} - 72q^{36} - 60q^{37} + 166q^{38} + 40q^{39} - 34q^{40} - 5q^{41} - 56q^{42} - 9q^{43} - 128q^{44} - 136q^{45} - 44q^{46} - 13q^{47} + 137q^{48} + 277q^{49} - q^{50} + 102q^{51} - 27q^{52} - 52q^{53} + 251q^{54} - 80q^{55} + 7q^{56} + 22q^{57} - 23q^{58} - 41q^{59} + 20q^{60} - 15q^{61} + 28q^{62} + 10q^{63} - 640q^{64} - 54q^{65} - 544q^{66} - 60q^{67} - 5q^{68} + 73q^{69} - 17q^{70} - 72q^{71} + 75q^{72} - 96q^{73} + 29q^{74} - 118q^{75} + 161q^{76} - 53q^{77} + 62q^{78} - 3q^{79} + 148q^{80} + 68q^{81} - 32q^{82} - 51q^{83} - 110q^{84} - 17q^{85} - 65q^{86} - 48q^{87} + 7q^{88} - 12q^{89} - 44q^{90} - 112q^{91} - 21q^{92} - 8q^{93} - 23q^{94} + 47q^{95} + 249q^{96} - 21q^{97} + 232q^{98} - 8q^{99} + O(q^{100}) \)

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

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