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Properties

Label 2205.2.cv
Level $2205$
Weight $2$
Character orbit 2205.cv
Rep. character $\chi_{2205}(118,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $1656$
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.cv (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 4128 1704 2424
Cusp forms 3936 1656 2280
Eisenstein series 192 48 144

Trace form

\( 1656 q + 10 q^{2} + 14 q^{5} - 10 q^{7} + 30 q^{8} + O(q^{10}) \) \( 1656 q + 10 q^{2} + 14 q^{5} - 10 q^{7} + 30 q^{8} - 14 q^{10} + 12 q^{11} - 14 q^{13} + 228 q^{16} + 14 q^{20} - 22 q^{22} - 6 q^{23} - 6 q^{25} + 56 q^{26} - 6 q^{28} - 42 q^{32} + 26 q^{35} + 2 q^{37} + 42 q^{38} - 14 q^{40} + 56 q^{41} - 22 q^{43} + 48 q^{46} + 56 q^{47} + 208 q^{50} - 14 q^{52} - 40 q^{53} - 56 q^{55} + 120 q^{56} - 10 q^{58} - 84 q^{61} - 14 q^{62} + 22 q^{65} - 80 q^{67} + 134 q^{70} - 68 q^{71} - 14 q^{73} - 140 q^{76} - 14 q^{77} - 154 q^{82} + 168 q^{83} + 54 q^{85} + 100 q^{86} + 84 q^{88} - 28 q^{91} + 14 q^{92} + 144 q^{98} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2205, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)