↑

Properties

Label 2925.2.eo
Level $2925$
Weight $2$
Character orbit 2925.eo
Rep. character $\chi_{2925}(161,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1120$
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.eo (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 975 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(840\)

Dimensions

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

Total New Old
Modular forms 3424 1120 2304
Cusp forms 3296 1120 2176
Eisenstein series 128 0 128

Trace form

\( 1120 q + 8 q^{13} + 328 q^{16} + 24 q^{19} - 32 q^{22} - 12 q^{34} - 36 q^{37} + 64 q^{40} + 80 q^{46} + 96 q^{55} - 152 q^{58} + 48 q^{61} - 128 q^{67} + 72 q^{70} + 88 q^{73} - 64 q^{76} + 36 q^{85} - 64 q^{91}+ \cdots + 56 q^{97}+O(q^{100}) \) 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

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