Properties

Label 4851.2.cl
Level $4851$
Weight $2$
Character orbit 4851.cl
Rep. character $\chi_{4851}(100,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $2808$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 4851 = 3^{2} \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4851.cl (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 49 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4851, [\chi])\).

Total New Old
Modular forms 8160 2808 5352
Cusp forms 7968 2808 5160
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(4851, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4851, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4851, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(147, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(49, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(441, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1617, [\chi])\)\(^{\oplus 2}\)