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Properties

Label 95.5.m
Level $95$
Weight $5$
Character orbit 95.m
Rep. character $\chi_{95}(7,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $152$
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.m (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 95 \)
Character field: \(\Q(\zeta_{12})\)
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 168 168 0
Cusp forms 152 152 0
Eisenstein series 16 16 0

Trace form

\( 152 q - 2 q^{2} - 2 q^{3} - 20 q^{5} - 40 q^{6} + 52 q^{7} + 108 q^{8} - 2 q^{10} - 304 q^{11} - 268 q^{12} + 198 q^{13} + 172 q^{15} + 4064 q^{16} + 238 q^{17} + 3792 q^{18} + 528 q^{20} - 796 q^{21} - 2774 q^{22}+ \cdots + 15572 q^{98}+O(q^{100}) \) 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.m.a 95.m 95.m $152$ $9.820$ None 95.5.m.a \(-2\) \(-2\) \(-20\) \(52\) $\mathrm{SU}(2)[C_{12}]$