Properties

Label 3549.2.dc
Level $3549$
Weight $2$
Character orbit 3549.dc
Rep. character $\chi_{3549}(230,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $11568$
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.dc (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 11760 11760 0
Cusp forms 11568 11568 0
Eisenstein series 192 192 0

Trace form

\( 11568q - 580q^{4} - 47q^{7} - 48q^{9} + O(q^{10}) \) \( 11568q - 580q^{4} - 47q^{7} - 48q^{9} - 86q^{15} + 368q^{16} - 60q^{18} - 20q^{22} - 1028q^{25} - 90q^{28} - 76q^{30} - 78q^{36} - 96q^{37} - 128q^{39} - 10q^{42} - 118q^{43} - 172q^{46} - 45q^{49} - 48q^{51} - 86q^{57} - 52q^{58} + 64q^{60} - 98q^{63} + 808q^{64} - 210q^{67} - 248q^{70} - 114q^{72} - 50q^{78} - 92q^{79} - 60q^{81} + 239q^{84} - 132q^{85} + 24q^{88} - 45q^{91} - 68q^{93} - 72q^{99} + O(q^{100}) \)

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

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