Properties

Label 2100.2.dd
Level 2100
Weight 2
Character orbit dd
Rep. character \(\chi_{2100}(11,\cdot)\)
Character field \(\Q(\zeta_{30})\)
Dimension 3776
Sturm bound 960

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2100.dd (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

\( 3776q - 6q^{4} - 20q^{6} - 6q^{9} + O(q^{10}) \) \( 3776q - 6q^{4} - 20q^{6} - 6q^{9} + 9q^{12} - 48q^{13} - 6q^{16} - 30q^{21} - 40q^{22} - 2q^{24} - 12q^{25} - 68q^{28} + 9q^{30} - 30q^{33} + 24q^{34} + 32q^{36} - 12q^{37} - 44q^{40} + 28q^{42} + 12q^{45} - 42q^{46} - 56q^{49} + 70q^{52} + q^{54} - 72q^{57} + 38q^{58} + 45q^{60} - 12q^{61} + 24q^{64} + 11q^{66} - 48q^{69} - 12q^{70} - 39q^{72} + 4q^{73} - 128q^{76} + 122q^{78} + 18q^{81} + 92q^{82} + 9q^{84} - 40q^{85} - 10q^{88} + 6q^{90} + 8q^{93} - 22q^{94} + 15q^{96} + 72q^{97} + O(q^{100}) \)

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