Properties

Label 3040.2.fj
Level $3040$
Weight $2$
Character orbit 3040.fj
Rep. character $\chi_{3040}(393,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $0$
Newform subspaces $0$
Sturm bound $960$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3040 = 2^{5} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3040.fj (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1520 \)
Character field: \(\Q(\zeta_{36})\)
Newform subspaces: \( 0 \)
Sturm bound: \(960\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3040, [\chi])\).

Total New Old
Modular forms 5856 0 5856
Cusp forms 5664 0 5664
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{old}}(3040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1520, [\chi])\)\(^{\oplus 2}\)