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Properties

Label 2205.2.cp
Level $2205$
Weight $2$
Character orbit 2205.cp
Rep. character $\chi_{2205}(251,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $432$
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.cp (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 147 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 2064 432 1632
Cusp forms 1968 432 1536
Eisenstein series 96 0 96

Trace form

\( 432 q + 64 q^{4} - 8 q^{7} + O(q^{10}) \) \( 432 q + 64 q^{4} - 8 q^{7} - 48 q^{16} + 48 q^{22} - 72 q^{25} + 168 q^{28} + 152 q^{37} - 32 q^{43} + 96 q^{49} + 280 q^{52} + 80 q^{58} + 112 q^{61} + 16 q^{64} + 32 q^{67} - 24 q^{70} + 16 q^{79} + 232 q^{91} + 280 q^{94} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2205, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(147, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(441, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)