Properties

Label 6025.2.w
Level $6025$
Weight $2$
Character orbit 6025.w
Rep. character $\chi_{6025}(1476,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $1516$
Sturm bound $1210$

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Defining parameters

Level: \( N \) \(=\) \( 6025 = 5^{2} \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6025.w (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 241 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1210\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6025, [\chi])\).

Total New Old
Modular forms 2448 1540 908
Cusp forms 2400 1516 884
Eisenstein series 48 24 24

Decomposition of \(S_{2}^{\mathrm{new}}(6025, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6025, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1205, [\chi])\)\(^{\oplus 2}\)