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Properties

Label 2365.2.cb
Level $2365$
Weight $2$
Character orbit 2365.cb
Rep. character $\chi_{2365}(49,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $2080$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.cb (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2365, [\chi])\).

Total New Old
Modular forms 2144 2144 0
Cusp forms 2080 2080 0
Eisenstein series 64 64 0

Trace form

\( 2080 q + 488 q^{4} - 7 q^{5} - 14 q^{6} - 258 q^{9} + O(q^{10}) \) \( 2080 q + 488 q^{4} - 7 q^{5} - 14 q^{6} - 258 q^{9} - 4 q^{10} - 28 q^{11} - 18 q^{14} + 5 q^{15} - 608 q^{16} - 14 q^{19} + 27 q^{20} - 40 q^{21} + 10 q^{24} - q^{25} - 22 q^{26} - 30 q^{29} - 39 q^{30} + 2 q^{31} - 16 q^{34} - 50 q^{35} + 206 q^{36} + 160 q^{39} - 40 q^{40} - 24 q^{41} - 76 q^{44} - 36 q^{45} - 26 q^{46} - 272 q^{49} + 2 q^{50} - 112 q^{51} - 320 q^{54} - 13 q^{55} - 160 q^{56} - 44 q^{59} - 5 q^{60} + 24 q^{61} + 568 q^{64} - 72 q^{65} + 24 q^{66} - 102 q^{69} - 162 q^{70} - 14 q^{71} - 96 q^{74} + 116 q^{75} - 200 q^{76} + 6 q^{79} + 91 q^{80} + 226 q^{81} - 316 q^{84} - 54 q^{85} + 20 q^{86} - 4 q^{89} - 22 q^{90} + 58 q^{91} + 332 q^{94} + 57 q^{95} + 134 q^{96} - 28 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2365, [\chi])\) into newform subspaces

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