Properties

Label 4100.2.bt
Level $4100$
Weight $2$
Character orbit 4100.bt
Rep. character $\chi_{4100}(209,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $416$
Sturm bound $1260$

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Defining parameters

Level: \( N \) \(=\) \( 4100 = 2^{2} \cdot 5^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4100.bt (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1025 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1260\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4100, [\chi])\).

Total New Old
Modular forms 2544 416 2128
Cusp forms 2496 416 2080
Eisenstein series 48 0 48

Decomposition of \(S_{2}^{\mathrm{new}}(4100, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4100, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4100, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1025, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2050, [\chi])\)\(^{\oplus 2}\)