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Properties

Label 2842.2.c
Level $2842$
Weight $2$
Character orbit 2842.c
Rep. character $\chi_{2842}(1275,\cdot)$
Character field $\Q$
Dimension $102$
Sturm bound $840$

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Defining parameters

Level: \( N \) \(=\) \( 2842 = 2 \cdot 7^{2} \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2842.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 29 \)
Character field: \(\Q\)
Sturm bound: \(840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2842, [\chi])\).

Total New Old
Modular forms 436 102 334
Cusp forms 404 102 302
Eisenstein series 32 0 32

Trace form

\( 102 q - 102 q^{4} - 2 q^{5} + 2 q^{6} - 104 q^{9} + O(q^{10}) \) \( 102 q - 102 q^{4} - 2 q^{5} + 2 q^{6} - 104 q^{9} - 6 q^{13} + 102 q^{16} + 2 q^{20} - 6 q^{22} + 28 q^{23} - 2 q^{24} + 84 q^{25} - 14 q^{29} + 6 q^{30} + 34 q^{33} - 20 q^{34} + 104 q^{36} - 12 q^{38} + 48 q^{45} + 28 q^{51} + 6 q^{52} + 30 q^{53} - 2 q^{54} - 8 q^{57} + 8 q^{58} - 24 q^{59} - 18 q^{62} - 102 q^{64} - 2 q^{65} + 16 q^{67} + 32 q^{71} - 64 q^{74} - 14 q^{78} - 2 q^{80} + 22 q^{81} + 44 q^{82} + 64 q^{83} - 6 q^{86} + 40 q^{87} + 6 q^{88} - 28 q^{92} + 46 q^{93} + 26 q^{94} + 2 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2842, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2842, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2842, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(58, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(406, [\chi])\)\(^{\oplus 2}\)