Properties

Label 3549.2.dv
Level $3549$
Weight $2$
Character orbit 3549.dv
Rep. character $\chi_{3549}(62,\cdot)$
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.dv (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

\( 11568q + 380q^{4} - 43q^{7} - 52q^{9} + O(q^{10}) \) \( 11568q + 380q^{4} - 43q^{7} - 52q^{9} - 18q^{15} + 384q^{16} - 52q^{18} - 26q^{21} - 76q^{22} + 852q^{25} - 46q^{28} - 112q^{30} - 70q^{36} - 92q^{37} - 68q^{39} - 22q^{42} - 126q^{43} - 124q^{46} - 45q^{49} - 80q^{51} + 26q^{57} - 108q^{58} - 52q^{60} - 28q^{63} - 1144q^{64} - 382q^{67} + 14q^{72} - 218q^{78} - 36q^{79} - 20q^{81} - 339q^{84} - 236q^{85} + 104q^{88} - 37q^{91} + 68q^{93} + O(q^{100}) \)

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

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