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Properties

Label 2805.2.bf
Level $2805$
Weight $2$
Character orbit 2805.bf
Rep. character $\chi_{2805}(373,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $432$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2805 = 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2805.bf (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 935 \)
Character field: \(\Q(i)\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2805, [\chi])\).

Total New Old
Modular forms 880 432 448
Cusp forms 848 432 416
Eisenstein series 32 0 32

Trace form

\( 432 q + O(q^{10}) \) \( 432 q - 464 q^{16} + 48 q^{25} + 32 q^{26} + 4 q^{33} + 432 q^{36} + 112 q^{38} - 16 q^{47} - 32 q^{55} - 32 q^{60} + 40 q^{66} - 96 q^{67} + 64 q^{70} + 104 q^{77} - 432 q^{81} - 96 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2805, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2805, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)