Properties

Label 1512.2.en
Level 1512
Weight 2
Character orbit en
Rep. character \(\chi_{1512}(139,\cdot)\)
Character field \(\Q(\zeta_{18})\)
Dimension 1704
Sturm bound 576

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Defining parameters

Level: \( N \) = \( 1512 = 2^{3} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 1512.en (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 1512 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1512, [\chi])\).

Total New Old
Modular forms 1752 1752 0
Cusp forms 1704 1704 0
Eisenstein series 48 48 0

Trace form

\( 1704q - 12q^{2} - 12q^{4} - 6q^{8} - 24q^{9} + O(q^{10}) \) \( 1704q - 12q^{2} - 12q^{4} - 6q^{8} - 24q^{9} - 24q^{11} + 9q^{14} - 12q^{16} - 12q^{18} - 12q^{22} - 24q^{25} - 12q^{28} - 30q^{30} - 42q^{32} - 6q^{35} + 48q^{36} - 36q^{42} - 24q^{43} - 6q^{44} - 6q^{46} - 12q^{49} + 18q^{50} - 60q^{51} + 57q^{56} - 60q^{57} - 12q^{58} - 42q^{60} - 6q^{64} - 24q^{65} - 24q^{67} + 21q^{70} + 78q^{72} - 66q^{74} + 24q^{78} - 24q^{81} - 78q^{84} - 90q^{86} + 36q^{88} - 6q^{91} + 108q^{92} - 60q^{98} - 24q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1512, [\chi])\) 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