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Properties

Label 2496.2.ff
Level $2496$
Weight $2$
Character orbit 2496.ff
Rep. character $\chi_{2496}(149,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $7104$
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.ff (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2496 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(896\)

Dimensions

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

Total New Old
Modular forms 7232 7232 0
Cusp forms 7104 7104 0
Eisenstein series 128 128 0

Trace form

\( 7104 q - 8 q^{3} - 48 q^{4} - 16 q^{6} - 32 q^{7} - 8 q^{9} + O(q^{10}) \) \( 7104 q - 8 q^{3} - 48 q^{4} - 16 q^{6} - 32 q^{7} - 8 q^{9} - 48 q^{10} - 32 q^{13} - 8 q^{15} - 16 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 16 q^{22} - 16 q^{24} - 32 q^{27} - 32 q^{28} - 56 q^{30} - 24 q^{36} - 32 q^{37} - 112 q^{39} - 64 q^{40} - 8 q^{42} - 48 q^{43} - 16 q^{45} + 32 q^{46} - 320 q^{48} - 48 q^{49} + 96 q^{52} - 16 q^{54} + 48 q^{55} - 16 q^{57} + 112 q^{58} + 16 q^{60} - 16 q^{61} - 32 q^{63} - 32 q^{66} - 32 q^{67} - 24 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} + 16 q^{75} - 32 q^{76} - 40 q^{78} - 64 q^{79} - 8 q^{81} - 48 q^{82} - 168 q^{84} - 192 q^{85} - 8 q^{87} - 48 q^{88} - 32 q^{91} - 40 q^{93} + 80 q^{94} + 48 q^{96} - 272 q^{99} + O(q^{100}) \)

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.