Properties

Label 9800.2.ct
Level $9800$
Weight $2$
Character orbit 9800.ct
Rep. character $\chi_{9800}(951,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3360$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 9800 = 2^{3} \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9800.ct (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 196 \)
Character field: \(\Q(\zeta_{14})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3360\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 10224 0 10224
Cusp forms 9936 0 9936
Eisenstein series 288 0 288

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

\( S_{2}^{\mathrm{old}}(9800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(196, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4900, [\chi])\)\(^{\oplus 2}\)