Properties

Label 6025.2.fm
Level $6025$
Weight $2$
Character orbit 6025.fm
Rep. character $\chi_{6025}(393,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $5776$
Sturm bound $1210$

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Defining parameters

Level: \( N \) \(=\) \( 6025 = 5^{2} \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6025.fm (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(1210\)

Dimensions

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

Total New Old
Modular forms 9776 5840 3936
Cusp forms 9584 5776 3808
Eisenstein series 192 64 128

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

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