Properties

Label 5148.2.fy
Level $5148$
Weight $2$
Character orbit 5148.fy
Rep. character $\chi_{5148}(17,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $448$
Sturm bound $2016$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 5148 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5148.fy (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 429 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5148, [\chi])\).

Total New Old
Modular forms 8256 448 7808
Cusp forms 7872 448 7424
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(5148, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5148, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5148, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(858, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1287, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1716, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2574, [\chi])\)\(^{\oplus 2}\)