Properties

Label 2805.2.ca
Level $2805$
Weight $2$
Character orbit 2805.ca
Rep. character $\chi_{2805}(461,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $1152$
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.ca (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 561 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 1760 1152 608
Cusp forms 1696 1152 544
Eisenstein series 64 0 64

Trace form

\( 1152 q - 48 q^{9} + O(q^{10}) \) \( 1152 q - 48 q^{9} - 48 q^{12} + 16 q^{15} - 1152 q^{16} + 48 q^{22} - 64 q^{31} - 32 q^{33} - 32 q^{34} - 112 q^{36} + 32 q^{37} - 32 q^{49} - 96 q^{58} - 64 q^{60} + 112 q^{66} - 192 q^{69} - 16 q^{75} + 64 q^{78} + 96 q^{82} + 208 q^{88} + 96 q^{91} - 64 q^{93} + 288 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)