Properties

Label 7600.2.ft
Level $7600$
Weight $2$
Character orbit 7600.ft
Rep. character $\chi_{7600}(1319,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2400$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7600.ft (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3800 \)
Character field: \(\Q(\zeta_{30})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2400\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).

Total New Old
Modular forms 9664 0 9664
Cusp forms 9536 0 9536
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3800, [\chi])\)\(^{\oplus 2}\)