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Properties

Label 95.5.o
Level $95$
Weight $5$
Character orbit 95.o
Rep. character $\chi_{95}(14,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $228$
Newform subspaces $1$
Sturm bound $50$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 95 = 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 95.o (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 95 \)
Character field: \(\Q(\zeta_{18})\)
Newform subspaces: \( 1 \)
Sturm bound: \(50\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{5}(95, [\chi])\).

Total New Old
Modular forms 252 252 0
Cusp forms 228 228 0
Eisenstein series 24 24 0

Trace form

\( 228 q + 30 q^{4} - 6 q^{5} + 42 q^{6} - 12 q^{9} + 291 q^{10} + 84 q^{11} + 738 q^{14} + 1113 q^{15} - 1974 q^{16} - 900 q^{19} - 570 q^{20} + 1878 q^{21} - 5988 q^{24} + 804 q^{25} - 3678 q^{26} - 1992 q^{29}+ \cdots + 99978 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{5}^{\mathrm{new}}(95, [\chi])\) into newform subspaces

Label Char Prim Dim $A$ Field CM Minimal twist Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
95.5.o.a 95.o 95.o $228$ $9.820$ None 95.5.o.a \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{18}]$