Properties

Label 3549.2.ck
Level $3549$
Weight $2$
Character orbit 3549.ck
Rep. character $\chi_{3549}(272,\cdot)$
Character field $\Q(\zeta_{26})$
Dimension $5760$
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.ck (of order \(26\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3549 \)
Character field: \(\Q(\zeta_{26})\)
Sturm bound: \(970\)

Dimensions

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

Total New Old
Modular forms 5856 5856 0
Cusp forms 5760 5760 0
Eisenstein series 96 96 0

Trace form

\( 5760q - 516q^{4} - 26q^{7} - 26q^{9} + O(q^{10}) \) \( 5760q - 516q^{4} - 26q^{7} - 26q^{9} - 78q^{15} - 484q^{16} - 26q^{18} - 13q^{21} - 104q^{22} + 412q^{25} - 26q^{28} - 2q^{30} - 14q^{36} - 52q^{37} + 26q^{39} + 31q^{42} - 100q^{43} + 52q^{46} + 2q^{49} + 2q^{51} - 104q^{57} - 26q^{60} + 52q^{63} - 420q^{64} + 208q^{67} - 26q^{72} - 58q^{78} - 124q^{79} + 38q^{81} + 234q^{84} - 52q^{85} - 164q^{88} - 58q^{91} - 26q^{93} + O(q^{100}) \)

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

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