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Properties

Label 2205.2.ee
Level $2205$
Weight $2$
Character orbit 2205.ee
Rep. character $\chi_{2205}(53,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $2688$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2205.ee (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 735 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2205, [\chi])\).

Total New Old
Modular forms 8256 2688 5568
Cusp forms 7872 2688 5184
Eisenstein series 384 0 384

Trace form

\( 2688 q - 8 q^{7} + O(q^{10}) \) \( 2688 q - 8 q^{7} - 8 q^{10} - 224 q^{16} - 40 q^{22} - 88 q^{28} - 32 q^{31} + 40 q^{40} + 16 q^{43} + 80 q^{52} + 32 q^{55} + 96 q^{58} + 176 q^{61} + 32 q^{67} - 112 q^{70} + 88 q^{73} + 320 q^{76} + 336 q^{82} - 48 q^{85} - 24 q^{88} + 16 q^{91} - 208 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2205, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2205, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)