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Properties

Label 1848.2.ed
Level $1848$
Weight $2$
Character orbit 1848.ed
Rep. character $\chi_{1848}(227,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $3008$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 1848 = 2^{3} \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1848.ed (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1848 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1848, [\chi])\).

Total New Old
Modular forms 3136 3136 0
Cusp forms 3008 3008 0
Eisenstein series 128 128 0

Trace form

\( 3008 q - 18 q^{3} - 6 q^{4} - 6 q^{9} + O(q^{10}) \) \( 3008 q - 18 q^{3} - 6 q^{4} - 6 q^{9} - 24 q^{12} + 10 q^{16} - 5 q^{18} - 60 q^{19} - 104 q^{22} - 15 q^{24} - 356 q^{25} - 20 q^{28} + 25 q^{30} - 24 q^{33} - 8 q^{36} - 30 q^{40} + 14 q^{42} + 30 q^{46} - 24 q^{49} - 10 q^{51} - 30 q^{52} - 40 q^{57} - 10 q^{58} - 77 q^{60} - 96 q^{64} - 21 q^{66} - 96 q^{67} - 78 q^{70} - 5 q^{72} - 60 q^{73} + 42 q^{75} - 4 q^{78} - 6 q^{81} + 30 q^{82} + 45 q^{84} - 12 q^{88} - 64 q^{91} - 30 q^{94} - 225 q^{96} + 4 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1848, [\chi])\) into newform subspaces

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