Properties

Label 6040.2.ei
Level $6040$
Weight $2$
Character orbit 6040.ei
Rep. character $\chi_{6040}(121,\cdot)$
Character field $\Q(\zeta_{75})$
Dimension $6080$
Sturm bound $1824$

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Defining parameters

Level: \( N \) \(=\) \( 6040 = 2^{3} \cdot 5 \cdot 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6040.ei (of order \(75\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 151 \)
Character field: \(\Q(\zeta_{75})\)
Sturm bound: \(1824\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).

Total New Old
Modular forms 36800 6080 30720
Cusp forms 36160 6080 30080
Eisenstein series 640 0 640

Decomposition of \(S_{2}^{\mathrm{new}}(6040, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(151, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(302, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(604, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(755, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1208, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1510, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3020, [\chi])\)\(^{\oplus 2}\)