Properties

Label 4900.2.bf
Level $4900$
Weight $2$
Character orbit 4900.bf
Rep. character $\chi_{4900}(1243,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1408$
Sturm bound $1680$

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Defining parameters

Level: \( N \) \(=\) \( 4900 = 2^{2} \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4900.bf (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 140 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1680\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4900, [\chi])\).

Total New Old
Modular forms 3552 1472 2080
Cusp forms 3168 1408 1760
Eisenstein series 384 64 320

Decomposition of \(S_{2}^{\mathrm{new}}(4900, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4900, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4900, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(140, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(700, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 2}\)