↑

Properties

Label 2695.2.bh
Level $2695$
Weight $2$
Character orbit 2695.bh
Rep. character $\chi_{2695}(384,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1992$
Sturm bound $672$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2695 = 5 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2695.bh (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2695 \)
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 2040 0
Cusp forms 1992 1992 0
Eisenstein series 48 48 0

Trace form

\( 1992 q - 348 q^{4} - 14 q^{5} - 344 q^{9} + O(q^{10}) \) \( 1992 q - 348 q^{4} - 14 q^{5} - 344 q^{9} + 4 q^{11} - 16 q^{14} + 22 q^{15} - 332 q^{16} + 42 q^{20} + 18 q^{25} - 56 q^{26} - 56 q^{34} - 316 q^{36} - 32 q^{44} - 126 q^{45} + 80 q^{49} - 77 q^{55} + 76 q^{56} - 56 q^{59} + 102 q^{60} - 284 q^{64} - 112 q^{66} - 28 q^{69} - 90 q^{70} + 20 q^{71} - 14 q^{75} - 360 q^{81} + 124 q^{86} + 112 q^{89} - 172 q^{91} - 72 q^{99} + O(q^{100}) \)

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.