Properties

Label 3024.2.gv
Level 3024
Weight 2
Character orbit 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

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

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

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

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database