Properties

Label 9800.2.cq
Level $9800$
Weight $2$
Character orbit 9800.cq
Rep. character $\chi_{9800}(1149,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $6024$
Sturm bound $3360$

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Defining parameters

Level: \( N \) \(=\) \( 9800 = 2^{3} \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9800.cq (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1960 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(3360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9800, [\chi])\).

Total New Old
Modular forms 10152 6072 4080
Cusp forms 10008 6024 3984
Eisenstein series 144 48 96

Decomposition of \(S_{2}^{\mathrm{new}}(9800, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9800, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1960, [\chi])\)\(^{\oplus 2}\)