↑

Properties

Label 2925.2.gw
Level $2925$
Weight $2$
Character orbit 2925.gw
Rep. character $\chi_{2925}(17,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $2240$
Sturm bound $840$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2925.gw (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 975 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2925, [\chi])\).

Total New Old
Modular forms 6848 2240 4608
Cusp forms 6592 2240 4352
Eisenstein series 256 0 256

Trace form

\( 2240 q + 16 q^{10} - 20 q^{13} - 280 q^{16} + 16 q^{22} - 36 q^{37} - 136 q^{40} + 24 q^{43} + 16 q^{52} - 32 q^{55} + 156 q^{58} - 320 q^{64} + 96 q^{67} - 20 q^{82} + 12 q^{85} - 80 q^{88} + 80 q^{94}+ \cdots - 72 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(2925, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2925, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2925, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(975, [\chi])\)\(^{\oplus 2}\)