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Properties

Label 3024.2.gv
Level $3024$
Weight $2$
Character orbit 3024.gv
Rep. character $\chi_{3024}(293,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $6864$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 3024 = 2^{4} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3024.gv (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3024 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3024, [\chi])\).

Total New Old
Modular forms 6960 6960 0
Cusp forms 6864 6864 0
Eisenstein series 96 96 0

Trace form

\( 6864 q - 24 q^{2} - 24 q^{4} - 36 q^{8} + O(q^{10}) \) \( 6864 q - 24 q^{2} - 24 q^{4} - 36 q^{8} - 24 q^{11} - 12 q^{14} - 48 q^{15} - 24 q^{16} - 24 q^{18} - 12 q^{21} - 24 q^{22} - 24 q^{28} - 24 q^{29} - 24 q^{30} - 24 q^{32} - 18 q^{35} - 24 q^{36} - 12 q^{37} + 48 q^{42} - 24 q^{43} - 36 q^{44} - 12 q^{46} - 24 q^{49} - 24 q^{50} + 12 q^{51} + 30 q^{56} - 24 q^{58} + 36 q^{60} - 24 q^{63} - 12 q^{64} - 48 q^{65} - 24 q^{67} + 30 q^{70} - 12 q^{72} + 60 q^{74} - 12 q^{77} - 24 q^{78} - 48 q^{79} - 48 q^{81} + 168 q^{84} + 36 q^{85} - 84 q^{86} - 24 q^{88} - 6 q^{91} - 24 q^{92} - 24 q^{93} - 48 q^{95} - 18 q^{98} - 24 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3024, [\chi])\) into newform subspaces

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