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Properties

Label 2352.2.ct
Level $2352$
Weight $2$
Character orbit 2352.ct
Rep. character $\chi_{2352}(155,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $5328$
Sturm bound $896$

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Defining parameters

Level: \( N \) \(=\) \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2352.ct (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2352 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2352, [\chi])\).

Total New Old
Modular forms 5424 5424 0
Cusp forms 5328 5328 0
Eisenstein series 96 96 0

Trace form

\( 5328 q - 10 q^{3} - 20 q^{4} - 10 q^{6} - 48 q^{7} + O(q^{10}) \) \( 5328 q - 10 q^{3} - 20 q^{4} - 10 q^{6} - 48 q^{7} - 20 q^{10} - 10 q^{12} - 20 q^{13} - 20 q^{16} - 36 q^{18} - 48 q^{19} - 6 q^{21} - 44 q^{22} - 30 q^{24} - 10 q^{27} + 64 q^{28} - 16 q^{30} - 20 q^{33} - 116 q^{34} - 26 q^{36} - 20 q^{37} - 20 q^{39} - 60 q^{40} + 10 q^{42} - 20 q^{43} + 10 q^{45} - 36 q^{46} + 16 q^{48} - 48 q^{49} - 62 q^{51} - 44 q^{52} + 90 q^{54} - 40 q^{55} + 12 q^{58} - 166 q^{60} - 20 q^{61} - 68 q^{64} - 118 q^{66} - 48 q^{67} - 22 q^{69} - 44 q^{70} + 22 q^{72} - 2 q^{75} + 220 q^{76} - 94 q^{78} - 20 q^{81} - 104 q^{82} + 124 q^{84} - 60 q^{85} - 20 q^{87} - 20 q^{88} + 26 q^{90} - 140 q^{91} + 20 q^{93} - 148 q^{94} - 360 q^{96} - 96 q^{97} + 12 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2352, [\chi])\) into newform subspaces

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