↑

Properties

Label 1617.2.bv
Level $1617$
Weight $2$
Character orbit 1617.bv
Rep. character $\chi_{1617}(32,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $2640$
Sturm bound $448$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1617 = 3 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1617.bv (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1617 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1617, [\chi])\).

Total New Old
Modular forms 2736 2736 0
Cusp forms 2640 2640 0
Eisenstein series 96 96 0

Trace form

\( 2640 q - 26 q^{3} + 164 q^{4} - 26 q^{9} + O(q^{10}) \) \( 2640 q - 26 q^{3} + 164 q^{4} - 26 q^{9} - 34 q^{12} - 8 q^{15} + 164 q^{16} - 26 q^{22} - 244 q^{25} + 10 q^{27} - 28 q^{31} + 8 q^{33} - 112 q^{34} + 4 q^{36} - 48 q^{37} - 12 q^{42} - 84 q^{45} + 48 q^{48} + 60 q^{49} - 150 q^{55} - 216 q^{58} + 228 q^{60} - 544 q^{64} - 70 q^{66} - 16 q^{67} - 168 q^{69} - 8 q^{70} - 74 q^{75} - 46 q^{78} - 146 q^{81} - 52 q^{82} - 16 q^{88} - 48 q^{91} - 26 q^{93} - 32 q^{97} + 76 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1617, [\chi])\) into newform subspaces

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