Properties

Label 6762.2.h
Level $6762$
Weight $2$
Character orbit 6762.h
Rep. character $\chi_{6762}(3725,\cdot)$
Character field $\Q$
Dimension $328$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 6762 = 2 \cdot 3 \cdot 7^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6762.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 69 \)
Character field: \(\Q\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6762, [\chi])\).

Total New Old
Modular forms 1376 328 1048
Cusp forms 1312 328 984
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(6762, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6762, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6762, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(138, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3381, [\chi])\)\(^{\oplus 2}\)