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Properties

Label 2760.2.do
Level $2760$
Weight $2$
Character orbit 2760.do
Rep. character $\chi_{2760}(233,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $2880$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2760 = 2^{3} \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2760.do (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 345 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2760, [\chi])\).

Total New Old
Modular forms 11840 2880 8960
Cusp forms 11200 2880 8320
Eisenstein series 640 0 640

Trace form

\( 2880 q + O(q^{10}) \) \( 2880 q + 24 q^{15} + 32 q^{21} + 16 q^{25} + 24 q^{27} + 16 q^{31} - 72 q^{37} - 48 q^{55} - 48 q^{57} - 48 q^{61} - 16 q^{63} - 80 q^{67} - 16 q^{73} + 108 q^{75} + 56 q^{81} - 16 q^{85} + 40 q^{87} + 64 q^{91} + 72 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2760, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2760, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(345, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(690, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1380, [\chi])\)\(^{\oplus 2}\)