Properties

Label 5376.2.do
Level $5376$
Weight $2$
Character orbit 5376.do
Rep. character $\chi_{5376}(139,\cdot)$
Character field $\Q(\zeta_{64})$
Dimension $16384$
Sturm bound $2048$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 5376 = 2^{8} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5376.do (of order \(64\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1792 \)
Character field: \(\Q(\zeta_{64})\)
Sturm bound: \(2048\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5376, [\chi])\).

Total New Old
Modular forms 32896 16384 16512
Cusp forms 32640 16384 16256
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{new}}(5376, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5376, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5376, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1792, [\chi])\)\(^{\oplus 2}\)