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Properties

Label 2496.2.dt
Level $2496$
Weight $2$
Character orbit 2496.dt
Rep. character $\chi_{2496}(155,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $3552$
Sturm bound $896$

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Defining parameters

Level: \( N \) \(=\) \( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2496.dt (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2496 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2496, [\chi])\).

Total New Old
Modular forms 3616 3616 0
Cusp forms 3552 3552 0
Eisenstein series 64 64 0

Trace form

\( 3552 q - 16 q^{3} - 32 q^{4} - 16 q^{9} + O(q^{10}) \) \( 3552 q - 16 q^{3} - 32 q^{4} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 16 q^{13} - 32 q^{16} - 32 q^{22} - 32 q^{25} - 16 q^{27} - 16 q^{30} - 16 q^{36} - 8 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 64 q^{52} - 96 q^{55} - 32 q^{61} - 32 q^{64} + 16 q^{66} - 16 q^{69} - 16 q^{75} + 16 q^{78} - 32 q^{79} - 16 q^{81} + 128 q^{82} - 16 q^{87} - 192 q^{88} - 304 q^{90} - 16 q^{91} - 32 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2496, [\chi])\) into newform subspaces

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