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Properties

Label 2695.2.cr
Level $2695$
Weight $2$
Character orbit 2695.cr
Rep. character $\chi_{2695}(64,\cdot)$
Character field $\Q(\zeta_{70})$
Dimension $7968$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2695 = 5 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2695.cr (of order \(70\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2695 \)
Character field: \(\Q(\zeta_{70})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2695, [\chi])\).

Total New Old
Modular forms 8160 8160 0
Cusp forms 7968 7968 0
Eisenstein series 192 192 0

Trace form

\( 7968 q - 358 q^{4} - 19 q^{5} - 6 q^{6} - 354 q^{9} + O(q^{10}) \) \( 7968 q - 358 q^{4} - 19 q^{5} - 6 q^{6} - 354 q^{9} - 40 q^{10} - 54 q^{11} - 30 q^{14} - 33 q^{15} + 298 q^{16} + 32 q^{19} - 83 q^{20} - 84 q^{21} - 86 q^{24} + 5 q^{25} - 2 q^{26} - 30 q^{29} - 66 q^{30} - 96 q^{31} + 16 q^{34} - 43 q^{35} + 174 q^{36} - 46 q^{39} + 127 q^{40} + 62 q^{41} - 14 q^{44} - 68 q^{45} - 62 q^{46} - 96 q^{49} - 60 q^{50} - 66 q^{51} + 12 q^{54} - 116 q^{55} + 16 q^{56} - 34 q^{59} - 93 q^{60} + 6 q^{61} - 502 q^{64} + 4 q^{65} - 126 q^{66} - 50 q^{69} - 33 q^{70} + 10 q^{71} - 206 q^{74} + 49 q^{75} - 216 q^{76} - 120 q^{79} - 118 q^{80} + 198 q^{81} - 6 q^{84} - 65 q^{85} + 118 q^{86} + 44 q^{89} + 3 q^{90} + 100 q^{91} + 152 q^{94} - 71 q^{95} - 142 q^{96} + 264 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2695, [\chi])\) into newform subspaces

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