Properties

Label 6045.2.ln
Level $6045$
Weight $2$
Character orbit 6045.ln
Rep. character $\chi_{6045}(1249,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $3072$
Sturm bound $1792$

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Defining parameters

Level: \( N \) \(=\) \( 6045 = 3 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6045.ln (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 155 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6045, [\chi])\).

Total New Old
Modular forms 7232 3072 4160
Cusp forms 7104 3072 4032
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(6045, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6045, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6045, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(155, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(465, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2015, [\chi])\)\(^{\oplus 2}\)