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Properties

Label 2448.2.dl
Level $2448$
Weight $2$
Character orbit 2448.dl
Rep. character $\chi_{2448}(203,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1712$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2448.dl (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2448 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2448, [\chi])\).

Total New Old
Modular forms 1744 1744 0
Cusp forms 1712 1712 0
Eisenstein series 32 32 0

Trace form

\( 1712 q - 12 q^{2} - 4 q^{4} + O(q^{10}) \) \( 1712 q - 12 q^{2} - 4 q^{4} - 4 q^{13} - 4 q^{16} + 20 q^{18} - 16 q^{19} - 20 q^{21} - 20 q^{30} - 12 q^{32} - 16 q^{33} + 2 q^{34} - 4 q^{36} - 12 q^{38} + 8 q^{42} - 4 q^{43} + 800 q^{49} - 168 q^{50} - 36 q^{51} - 4 q^{52} - 32 q^{55} - 12 q^{59} - 64 q^{60} - 16 q^{64} + 104 q^{66} - 4 q^{67} - 60 q^{68} + 4 q^{69} + 24 q^{70} - 124 q^{72} + 20 q^{76} - 12 q^{77} - 16 q^{81} + 108 q^{83} - 36 q^{84} - 12 q^{85} + 48 q^{86} - 16 q^{87} + 4 q^{93} + 12 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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