↑

Properties

Label 2695.2.bx
Level $2695$
Weight $2$
Character orbit 2695.bx
Rep. character $\chi_{2695}(188,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $3360$
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.bx (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 4080 3360 720
Cusp forms 3984 3360 624
Eisenstein series 96 0 96

Trace form

\( 3360 q + 56 q^{6} - 24 q^{8} + O(q^{10}) \) \( 3360 q + 56 q^{6} - 24 q^{8} + 24 q^{15} + 576 q^{16} - 32 q^{21} + 20 q^{28} - 48 q^{30} + 120 q^{32} + 60 q^{35} + 680 q^{36} - 56 q^{41} + 16 q^{42} + 32 q^{43} - 120 q^{46} - 432 q^{50} + 60 q^{57} - 64 q^{58} - 80 q^{60} - 112 q^{61} - 20 q^{63} + 16 q^{67} + 232 q^{70} + 96 q^{71} + 300 q^{72} - 168 q^{75} - 312 q^{78} + 232 q^{81} - 280 q^{82} + 84 q^{83} + 48 q^{85} + 112 q^{86} - 168 q^{90} + 80 q^{91} - 72 q^{92} - 100 q^{93} + 48 q^{95} + 504 q^{96} - 180 q^{98} + O(q^{100}) \)

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

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