Properties

Label 2100.2.di
Level 2100
Weight 2
Character orbit di
Rep. character \(\chi_{2100}(179,\cdot)\)
Character field \(\Q(\zeta_{30})\)
Dimension 3776
Sturm bound 960

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Defining parameters

Level: \( N \) \(=\) \( 2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2100.di (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2100 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2100, [\chi])\).

Total New Old
Modular forms 3904 3904 0
Cusp forms 3776 3776 0
Eisenstein series 128 128 0

Trace form

\( 3776q - 6q^{4} - 4q^{6} - 6q^{9} + O(q^{10}) \) \( 3776q - 6q^{4} - 4q^{6} - 6q^{9} - 16q^{10} - 5q^{12} - 80q^{13} - 6q^{16} + 6q^{21} - 40q^{22} - 14q^{24} - 20q^{25} + 20q^{28} - 7q^{30} - 10q^{33} - 8q^{34} - 88q^{36} - 20q^{37} + 8q^{40} - 70q^{42} + 12q^{45} + 30q^{46} - 20q^{48} - 56q^{49} - 110q^{52} - 7q^{54} - 70q^{58} + 19q^{60} - 12q^{61} + 24q^{64} + 7q^{66} + 76q^{70} - 5q^{72} - 20q^{73} + 64q^{76} + 10q^{78} - 30q^{81} + 39q^{84} - 88q^{85} - 70q^{88} - 74q^{90} + 10q^{94} - 21q^{96} + 120q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2100, [\chi])\) into newform subspaces

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database