Properties

Label 7098.2.z
Level $7098$
Weight $2$
Character orbit 7098.z
Rep. character $\chi_{7098}(677,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $828$
Sturm bound $2912$

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Defining parameters

Level: \( N \) \(=\) \( 7098 = 2 \cdot 3 \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7098.z (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 21 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7098, [\chi])\).

Total New Old
Modular forms 3024 828 2196
Cusp forms 2800 828 1972
Eisenstein series 224 0 224

Decomposition of \(S_{2}^{\mathrm{new}}(7098, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7098, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7098, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(42, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(546, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3549, [\chi])\)\(^{\oplus 2}\)