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Properties

Label 2015.2.t
Level $2015$
Weight $2$
Character orbit 2015.t
Rep. character $\chi_{2015}(402,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $440$
Sturm bound $448$

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Defining parameters

Level: \( N \) \(=\) \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2015.t (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2015 \)
Character field: \(\Q(i)\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2015, [\chi])\).

Total New Old
Modular forms 456 456 0
Cusp forms 440 440 0
Eisenstein series 16 16 0

Trace form

\( 440 q + O(q^{10}) \) \( 440 q - 8 q^{10} - 400 q^{16} - 8 q^{25} - 8 q^{35} + 448 q^{36} - 72 q^{38} + 64 q^{40} - 32 q^{51} - 48 q^{56} + 24 q^{62} - 112 q^{66} + 40 q^{78} - 408 q^{81} + 8 q^{82} - 24 q^{87} + 40 q^{90} - 112 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2015, [\chi])\) into newform subspaces

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