Properties

Label 187.2.m
Level 187
Weight 2
Character orbit m
Rep. character \(\chi_{187}(10,\cdot)\)
Character field \(\Q(\zeta_{16})\)
Dimension 128
Newforms 1
Sturm bound 36
Trace bound 0

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 187 = 11 \cdot 17 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 187.m (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 187 \)
Character field: \(\Q(\zeta_{16})\)
Newforms: \( 1 \)
Sturm bound: \(36\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(187, [\chi])\).

Total New Old
Modular forms 160 160 0
Cusp forms 128 128 0
Eisenstein series 32 32 0

Trace form

\( 128q - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{9} + O(q^{10}) \) \( 128q - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{9} - 64q^{12} + 16q^{14} - 16q^{15} - 16q^{20} + 8q^{22} - 32q^{23} + 16q^{26} + 32q^{27} - 80q^{31} - 16q^{34} + 16q^{36} + 16q^{37} + 80q^{38} - 112q^{42} - 72q^{44} - 16q^{45} - 16q^{47} + 32q^{48} + 48q^{49} - 16q^{53} - 8q^{55} - 16q^{56} - 128q^{58} + 48q^{59} + 112q^{60} + 48q^{64} + 72q^{66} - 192q^{69} + 128q^{70} - 16q^{71} + 48q^{75} + 8q^{77} - 16q^{78} + 112q^{80} - 16q^{82} + 32q^{86} - 168q^{88} - 16q^{89} + 144q^{91} - 176q^{92} + 48q^{93} + 48q^{97} - 112q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(187, [\chi])\) into irreducible Hecke orbits

Label Dim. \(A\) Field CM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
187.2.m.a \(128\) \(1.493\) None \(0\) \(-16\) \(-16\) \(0\)