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Properties

Label 3549.2.cm
Level $3549$
Weight $2$
Character orbit 3549.cm
Rep. character $\chi_{3549}(209,\cdot)$
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.cm (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

\( 5760 q + 428 q^{4} - 30 q^{7} - 18 q^{9} + O(q^{10}) \) \( 5760 q + 428 q^{4} - 30 q^{7} - 18 q^{9} + 38 q^{15} - 516 q^{16} - 6 q^{18} - 9 q^{21} - 88 q^{22} - 500 q^{25} + 2 q^{28} + 22 q^{30} - 30 q^{36} - 76 q^{37} + 26 q^{39} - 17 q^{42} - 84 q^{43} + 76 q^{46} + 2 q^{49} - 30 q^{51} + 20 q^{57} - 128 q^{58} + 2 q^{60} + 44 q^{63} + 348 q^{64} + 136 q^{67} + 164 q^{70} - 90 q^{72} - 46 q^{78} - 12 q^{79} - 42 q^{81} - 212 q^{84} - 36 q^{85} - 324 q^{88} - 30 q^{91} + 26 q^{93} - 72 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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