Properties

Label 3024.2.dp
Level $3024$
Weight $2$
Character orbit 3024.dp
Rep. character $\chi_{3024}(827,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $576$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 3024 = 2^{4} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3024.dp (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 144 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3024, [\chi])\).

Total New Old
Modular forms 2352 576 1776
Cusp forms 2256 576 1680
Eisenstein series 96 0 96

Trace form

\( 576 q + O(q^{10}) \) \( 576 q - 84 q^{20} + 48 q^{46} - 288 q^{49} + 156 q^{50} - 36 q^{58} - 72 q^{59} + 72 q^{64} + 156 q^{68} + 84 q^{74} + 24 q^{76} + 72 q^{82} + 60 q^{86} - 48 q^{88} + 228 q^{92} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3024, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3024, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(144, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(432, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1008, [\chi])\)\(^{\oplus 2}\)