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Properties

Label 2805.2.fg
Level $2805$
Weight $2$
Character orbit 2805.fg
Rep. character $\chi_{2805}(46,\cdot)$
Character field $\Q(\zeta_{80})$
Dimension $4608$
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.fg (of order \(80\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 187 \)
Character field: \(\Q(\zeta_{80})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 14080 4608 9472
Cusp forms 13568 4608 8960
Eisenstein series 512 0 512

Trace form

\( 4608 q + O(q^{10}) \) \( 4608 q + 160 q^{13} - 128 q^{14} - 64 q^{22} + 64 q^{23} - 64 q^{26} + 64 q^{31} - 64 q^{37} + 480 q^{38} + 192 q^{42} - 64 q^{49} + 32 q^{55} - 256 q^{59} + 768 q^{77} - 128 q^{86} + 128 q^{88} + 960 q^{94} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(187, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)