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Properties

Label 3201.2.p
Level $3201$
Weight $2$
Character orbit 3201.p
Rep. character $\chi_{3201}(1781,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $776$
Sturm bound $784$

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Defining parameters

Level: \( N \) \(=\) \( 3201 = 3 \cdot 11 \cdot 97 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3201.p (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3201 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(784\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3201, [\chi])\).

Total New Old
Modular forms 792 792 0
Cusp forms 776 776 0
Eisenstein series 16 16 0

Trace form

\( 776 q + q^{3} - 388 q^{4} - 17 q^{9} + O(q^{10}) \) \( 776 q + q^{3} - 388 q^{4} - 17 q^{9} - 8 q^{12} - 31 q^{15} - 388 q^{16} - 4 q^{22} + 350 q^{25} + 16 q^{27} - 12 q^{31} - 44 q^{33} + 56 q^{34} - 24 q^{36} + 10 q^{37} + 52 q^{42} + 14 q^{45} - 22 q^{48} + 364 q^{49} - 52 q^{55} + 16 q^{58} - 54 q^{60} + 656 q^{64} - 31 q^{66} - 4 q^{67} + 32 q^{69} + 16 q^{70} + 4 q^{75} - 4 q^{78} + 19 q^{81} + 76 q^{82} - 42 q^{88} - 76 q^{91} - q^{93} - 94 q^{97} - 11 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3201, [\chi])\) into newform subspaces

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