Properties

Label 2960.2.j
Level $2960$
Weight $2$
Character orbit 2960.j
Rep. character $\chi_{2960}(1849,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $912$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2960.j (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1480 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(912\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2960, [\chi])\).

Total New Old
Modular forms 464 0 464
Cusp forms 448 0 448
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 2}\)