Properties

Label 7098.2.by
Level $7098$
Weight $2$
Character orbit 7098.by
Rep. character $\chi_{7098}(19,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $824$
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.by (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 91 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(2912\)

Dimensions

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

Total New Old
Modular forms 6048 824 5224
Cusp forms 5600 824 4776
Eisenstein series 448 0 448

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

\( S_{2}^{\mathrm{old}}(7098, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(182, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(546, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1183, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2366, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3549, [\chi])\)\(^{\oplus 2}\)