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Properties

Label 2070.2.y
Level $2070$
Weight $2$
Character orbit 2070.y
Rep. character $\chi_{2070}(367,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $576$
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.y (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1035 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 1760 576 1184
Cusp forms 1696 576 1120
Eisenstein series 64 0 64

Trace form

\( 576 q - 8 q^{3} + 16 q^{6} + O(q^{10}) \) \( 576 q - 8 q^{3} + 16 q^{6} - 8 q^{12} + 288 q^{16} + 16 q^{18} - 16 q^{23} - 24 q^{25} + 16 q^{27} + 16 q^{36} + 24 q^{41} - 24 q^{46} + 8 q^{47} - 16 q^{48} + 48 q^{55} + 160 q^{71} - 32 q^{72} - 24 q^{75} + 32 q^{77} + 72 q^{78} - 104 q^{81} - 16 q^{87} - 16 q^{92} + 176 q^{93} + 24 q^{95} + 8 q^{96} - 96 q^{98} + O(q^{100}) \)

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

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