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Properties

Label 2205.2.cc
Level $2205$
Weight $2$
Character orbit 2205.cc
Rep. character $\chi_{2205}(97,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $928$
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.cc (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 315 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 1408 992 416
Cusp forms 1280 928 352
Eisenstein series 128 64 64

Trace form

\( 928 q + 4 q^{2} - 16 q^{8} + O(q^{10}) \) \( 928 q + 4 q^{2} - 16 q^{8} + 16 q^{11} - 4 q^{15} + 424 q^{16} - 24 q^{18} - 24 q^{22} + 20 q^{23} + 4 q^{25} + 36 q^{30} - 20 q^{32} + 16 q^{36} + 16 q^{37} - 8 q^{43} + 80 q^{46} + 104 q^{50} + 40 q^{51} - 64 q^{53} + 112 q^{57} + 44 q^{58} + 104 q^{60} - 44 q^{65} + 4 q^{67} + 40 q^{72} - 188 q^{78} + 56 q^{81} - 8 q^{85} - 80 q^{86} + 84 q^{88} + 80 q^{92} - 108 q^{93} - 100 q^{95} + O(q^{100}) \)

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

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