Properties

Label 2496.4.eb
Level $2496$
Weight $4$
Character orbit 2496.eb
Rep. character $\chi_{2496}(499,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $5376$
Sturm bound $1792$

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Defining parameters

Level: \( N \) \(=\) \( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 2496.eb (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 832 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2496, [\chi])\).

Total New Old
Modular forms 10784 5376 5408
Cusp forms 10720 5376 5344
Eisenstein series 64 0 64

Trace form

\( 5376 q + 96 q^{12} - 320 q^{20} - 1520 q^{28} + 2480 q^{32} - 2000 q^{34} + 2880 q^{46} - 1728 q^{52} - 576 q^{55} - 5504 q^{59} - 4896 q^{60} - 4128 q^{68} + 432 q^{70} - 896 q^{71} + 8576 q^{76} + 4736 q^{86}+ \cdots + 10320 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{4}^{\mathrm{new}}(2496, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2496, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2496, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(832, [\chi])\)\(^{\oplus 2}\)