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Properties

Label 2205.2.bb
Level $2205$
Weight $2$
Character orbit 2205.bb
Rep. character $\chi_{2205}(1844,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $160$
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.bb (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 105 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 736 160 576
Cusp forms 608 160 448
Eisenstein series 128 0 128

Trace form

\( 160 q - 80 q^{4} + O(q^{10}) \) \( 160 q - 80 q^{4} + 12 q^{10} - 80 q^{16} + 24 q^{19} - 28 q^{25} + 24 q^{31} - 96 q^{40} + 8 q^{46} + 24 q^{61} + 304 q^{64} + 32 q^{79} + 192 q^{85} - 48 q^{94} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2205, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)