Properties

Label 7803.2.bg
Level $7803$
Weight $2$
Character orbit 7803.bg
Rep. character $\chi_{7803}(55,\cdot)$
Character field $\Q(\zeta_{68})$
Dimension $13056$
Sturm bound $1836$

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Defining parameters

Level: \( N \) \(=\) \( 7803 = 3^{3} \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7803.bg (of order \(68\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 289 \)
Character field: \(\Q(\zeta_{68})\)
Sturm bound: \(1836\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7803, [\chi])\).

Total New Old
Modular forms 29568 13056 16512
Cusp forms 29184 13056 16128
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(7803, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7803, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7803, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(867, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2601, [\chi])\)\(^{\oplus 2}\)