Properties

Label 3549.2.cy
Level $3549$
Weight $2$
Character orbit 3549.cy
Rep. character $\chi_{3549}(17,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $11544$
Sturm bound $970$

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Defining parameters

Level: \( N \) \(=\) \( 3549 = 3 \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3549.cy (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3549 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(970\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3549, [\chi])\).

Total New Old
Modular forms 11736 11736 0
Cusp forms 11544 11544 0
Eisenstein series 192 192 0

Trace form

\( 11544q - 36q^{3} - 974q^{4} - 50q^{7} - 16q^{9} + O(q^{10}) \) \( 11544q - 36q^{3} - 974q^{4} - 50q^{7} - 16q^{9} - 72q^{10} - 27q^{12} - 120q^{13} + 9q^{15} - 946q^{16} + 23q^{18} - 79q^{19} - 17q^{21} - 34q^{22} - 27q^{24} - 485q^{25} - 62q^{28} + 107q^{30} - 107q^{31} - 24q^{33} + 24q^{34} - 52q^{36} - 26q^{37} + 103q^{39} - 24q^{40} - 61q^{42} - 100q^{43} - 33q^{45} + 182q^{46} + 42q^{48} - 52q^{49} + 7q^{51} - 26q^{52} + 177q^{54} - 30q^{55} - 91q^{57} - 108q^{58} - 4q^{60} - 111q^{61} - 91q^{63} - 956q^{64} + 117q^{66} + 155q^{67} + 156q^{69} - 228q^{70} + 110q^{72} - 56q^{73} - 39q^{75} + 296q^{76} - 41q^{78} - 13q^{79} + 4q^{81} - 12q^{82} + 447q^{84} - 74q^{85} - 39q^{87} - 100q^{88} - 174q^{91} - 13q^{93} - 162q^{94} - 15q^{96} - 7q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3549, [\chi])\) into newform subspaces

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