Properties

Label 1512.2.dr
Level 1512
Weight 2
Character orbit dr
Rep. character \(\chi_{1512}(293,\cdot)\)
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.dr (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

\( 1704q - 12q^{2} - 12q^{4} - 12q^{7} - 18q^{8} - 24q^{9} + O(q^{10}) \) \( 1704q - 12q^{2} - 12q^{4} - 12q^{7} - 18q^{8} - 24q^{9} - 21q^{14} - 24q^{15} - 12q^{16} - 12q^{18} - 12q^{22} - 24q^{23} - 24q^{25} - 12q^{28} + 6q^{30} - 42q^{32} + 48q^{36} - 24q^{39} + 24q^{42} - 18q^{44} - 6q^{46} - 12q^{49} + 18q^{50} - 111q^{56} + 12q^{57} - 12q^{58} - 42q^{60} + 48q^{63} - 6q^{64} - 24q^{65} - 21q^{70} - 36q^{71} - 18q^{72} - 66q^{74} + 24q^{78} - 24q^{79} - 24q^{81} + 126q^{86} + 36q^{88} + 108q^{92} + 36q^{95} - 180q^{98} + O(q^{100}) \)

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