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Properties

Label 2365.2.cr
Level $2365$
Weight $2$
Character orbit 2365.cr
Rep. character $\chi_{2365}(4,\cdot)$
Character field $\Q(\zeta_{70})$
Dimension $6240$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.cr (of order \(70\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{70})\)
Sturm bound: \(528\)

Dimensions

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

Total New Old
Modular forms 6432 6432 0
Cusp forms 6240 6240 0
Eisenstein series 192 192 0

Trace form

\( 6240 q - 286 q^{4} - 19 q^{5} - 56 q^{6} - 282 q^{9} + O(q^{10}) \) \( 6240 q - 286 q^{4} - 19 q^{5} - 56 q^{6} - 282 q^{9} - 48 q^{10} - 36 q^{11} - 62 q^{14} - 23 q^{15} + 206 q^{16} - 62 q^{19} - 27 q^{20} - 140 q^{21} + 50 q^{24} - 31 q^{25} - 22 q^{26} - 54 q^{29} + 13 q^{30} - 46 q^{31} - 80 q^{34} - 123 q^{35} - 1564 q^{36} - 62 q^{39} - 101 q^{40} - 30 q^{41} + 508 q^{44} - 138 q^{45} + 58 q^{46} + 1404 q^{49} - 46 q^{50} + 146 q^{51} + 108 q^{54} - 120 q^{55} - 216 q^{56} - 50 q^{59} - 83 q^{60} + 24 q^{61} - 494 q^{64} + 76 q^{65} + 90 q^{66} + 78 q^{69} + 114 q^{70} - 14 q^{71} - 200 q^{74} - 101 q^{75} - 416 q^{76} - 96 q^{79} - 44 q^{80} + 190 q^{81} + 360 q^{84} + 132 q^{85} - 64 q^{86} - 20 q^{89} + 23 q^{90} - 186 q^{91} - 58 q^{94} - 93 q^{95} - 16 q^{96} + 54 q^{99} + O(q^{100}) \)

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.