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Properties

Label 2695.2.bn
Level $2695$
Weight $2$
Character orbit 2695.bn
Rep. character $\chi_{2695}(309,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1680$
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.bn (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 2040 1680 360
Cusp forms 1992 1680 312
Eisenstein series 48 0 48

Trace form

\( 1680 q + 280 q^{4} + 20 q^{6} + 260 q^{9} + O(q^{10}) \) \( 1680 q + 280 q^{4} + 20 q^{6} + 260 q^{9} + 12 q^{10} - 4 q^{14} - 12 q^{15} - 288 q^{16} + 16 q^{19} + 12 q^{20} - 12 q^{21} + 24 q^{24} + 16 q^{26} - 52 q^{29} + 8 q^{30} - 168 q^{31} + 124 q^{34} - 22 q^{35} - 220 q^{36} - 40 q^{39} - 144 q^{40} + 12 q^{41} - 20 q^{44} - 12 q^{45} + 140 q^{46} + 24 q^{49} + 244 q^{50} + 48 q^{51} - 52 q^{54} + 36 q^{56} - 84 q^{59} + 8 q^{60} + 16 q^{61} + 216 q^{64} + 28 q^{65} + 16 q^{66} - 56 q^{69} + 104 q^{70} - 28 q^{71} - 48 q^{75} - 364 q^{76} + 64 q^{79} - 56 q^{80} - 164 q^{81} + 288 q^{84} - 104 q^{85} - 88 q^{86} + 24 q^{89} - 142 q^{90} - 16 q^{91} - 40 q^{94} + 24 q^{95} + 204 q^{96} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(2695, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2695, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 2}\)