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Properties

Label 2805.2.dc
Level $2805$
Weight $2$
Character orbit 2805.dc
Rep. character $\chi_{2805}(56,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1920$
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.dc (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 51 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 3520 1920 1600
Cusp forms 3392 1920 1472
Eisenstein series 128 0 128

Trace form

\( 1920 q + O(q^{10}) \) \( 1920 q + 224 q^{34} + 64 q^{37} - 64 q^{40} - 64 q^{45} - 96 q^{46} - 320 q^{48} - 128 q^{51} + 160 q^{54} - 128 q^{58} - 64 q^{64} + 128 q^{76} - 192 q^{87} - 128 q^{93} - 128 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)