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Properties

Label 1920.2.cc
Level $1920$
Weight $2$
Character orbit 1920.cc
Rep. character $\chi_{1920}(847,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $192$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 1920 = 2^{7} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1920.cc (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 160 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1920, [\chi])\).

Total New Old
Modular forms 1600 192 1408
Cusp forms 1472 192 1280
Eisenstein series 128 0 128

Trace form

\( 192 q + O(q^{10}) \) \( 192 q - 16 q^{19} - 48 q^{35} + 32 q^{43} + 192 q^{49} + 16 q^{51} + 32 q^{55} + 32 q^{61} - 48 q^{67} + 64 q^{71} + 80 q^{83} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1920, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1920, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1920, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(160, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(320, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(480, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(640, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(960, [\chi])\)\(^{\oplus 2}\)