Properties

Label 95.4.i
Level $95$
Weight $4$
Character orbit 95.i
Rep. character $\chi_{95}(49,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $56$
Newform subspaces $1$
Sturm bound $40$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 95 = 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 95.i (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 95 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 1 \)
Sturm bound: \(40\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(95, [\chi])\).

Total New Old
Modular forms 64 64 0
Cusp forms 56 56 0
Eisenstein series 8 8 0

Trace form

\( 56 q + 96 q^{4} - 5 q^{5} - 40 q^{6} + 214 q^{9} - 20 q^{10} + 20 q^{11} - 160 q^{14} - 69 q^{15} - 356 q^{16} - 146 q^{19} + 340 q^{20} + 220 q^{21} + 314 q^{24} + 107 q^{25} - 52 q^{26} - 334 q^{29} + 796 q^{30}+ \cdots + 1954 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{4}^{\mathrm{new}}(95, [\chi])\) into newform subspaces

Label Char Prim Dim $A$ Field CM Minimal twist Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
95.4.i.a 95.i 95.i $56$ $5.605$ None 95.4.i.a \(0\) \(0\) \(-5\) \(0\) $\mathrm{SU}(2)[C_{6}]$