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Properties

Label 2800.2.eq
Level $2800$
Weight $2$
Character orbit 2800.eq
Rep. character $\chi_{2800}(237,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $3808$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2800 = 2^{4} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2800.eq (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2800 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2800, [\chi])\).

Total New Old
Modular forms 3872 3872 0
Cusp forms 3808 3808 0
Eisenstein series 64 64 0

Trace form

\( 3808 q - 16 q^{2} - 20 q^{4} - 28 q^{8} + 936 q^{9} + O(q^{10}) \) \( 3808 q - 16 q^{2} - 20 q^{4} - 28 q^{8} + 936 q^{9} - 12 q^{11} - 10 q^{14} - 32 q^{15} - 12 q^{16} - 20 q^{18} - 36 q^{21} - 8 q^{22} + 22 q^{28} - 20 q^{29} - 136 q^{30} + 4 q^{32} + 20 q^{35} + 20 q^{36} - 12 q^{37} - 48 q^{39} + 22 q^{42} - 20 q^{44} - 12 q^{46} - 16 q^{50} - 32 q^{51} - 20 q^{53} - 6 q^{56} - 24 q^{57} + 104 q^{58} + 16 q^{60} + 12 q^{63} + 40 q^{64} - 32 q^{65} + 100 q^{67} - 22 q^{70} - 256 q^{72} + 16 q^{74} - 80 q^{77} + 8 q^{78} - 40 q^{79} - 912 q^{81} - 22 q^{84} - 36 q^{85} + 28 q^{86} - 116 q^{88} - 76 q^{91} + 36 q^{92} - 56 q^{93} + 16 q^{95} + 90 q^{98} - 24 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2800, [\chi])\) into newform subspaces

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