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Properties

Label 2070.2.br
Level $2070$
Weight $2$
Character orbit 2070.br
Rep. character $\chi_{2070}(149,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $2880$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2070 = 2 \cdot 3^{2} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2070.br (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1035 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2070, [\chi])\).

Total New Old
Modular forms 8800 2880 5920
Cusp forms 8480 2880 5600
Eisenstein series 320 0 320

Trace form

\( 2880 q + 144 q^{4} + 8 q^{6} + 12 q^{9} + O(q^{10}) \) \( 2880 q + 144 q^{4} + 8 q^{6} + 12 q^{9} + 44 q^{15} + 144 q^{16} - 4 q^{24} - 12 q^{25} + 12 q^{29} - 44 q^{30} + 24 q^{31} - 24 q^{36} - 60 q^{41} + 12 q^{46} + 198 q^{49} - 24 q^{50} + 18 q^{54} - 24 q^{55} - 66 q^{56} - 24 q^{59} + 22 q^{60} - 288 q^{64} + 462 q^{65} - 88 q^{66} + 234 q^{69} + 264 q^{74} + 184 q^{75} + 116 q^{81} + 22 q^{84} + 12 q^{94} + 60 q^{95} - 4 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2070, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2070, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2070, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1035, [\chi])\)\(^{\oplus 2}\)