Properties

Label 424.2.v
Level 424424
Weight 22
Character orbit 424.v
Rep. character χ424(3,)\chi_{424}(3,\cdot)
Character field Q(ζ52)\Q(\zeta_{52})
Dimension 12481248
Newform subspaces 11
Sturm bound 108108
Trace bound 00

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Defining parameters

Level: N N == 424=2353 424 = 2^{3} \cdot 53
Weight: k k == 2 2
Character orbit: [χ][\chi] == 424.v (of order 5252 and degree 2424)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 424 424
Character field: Q(ζ52)\Q(\zeta_{52})
Newform subspaces: 1 1
Sturm bound: 108108
Trace bound: 00

Dimensions

The following table gives the dimensions of various subspaces of M2(424,[χ])M_{2}(424, [\chi]).

Total New Old
Modular forms 1344 1344 0
Cusp forms 1248 1248 0
Eisenstein series 96 96 0

Trace form

1248q22q248q326q426q622q852q922q1052q1140q128q1410q1652q1734q1864q1916q2016q2230q24++92q99+O(q100) 1248 q - 22 q^{2} - 48 q^{3} - 26 q^{4} - 26 q^{6} - 22 q^{8} - 52 q^{9} - 22 q^{10} - 52 q^{11} - 40 q^{12} - 8 q^{14} - 10 q^{16} - 52 q^{17} - 34 q^{18} - 64 q^{19} - 16 q^{20} - 16 q^{22} - 30 q^{24}+ \cdots + 92 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S2new(424,[χ])S_{2}^{\mathrm{new}}(424, [\chi]) into newform subspaces

Label Char Prim Dim AA Field CM Minimal twist Traces Sato-Tate qq-expansion
a2a_{2} a3a_{3} a5a_{5} a7a_{7}
424.2.v.a 424.v 424.v 12481248 3.3863.386 None 424.2.v.a 22-22 48-48 00 00 SU(2)[C52]\mathrm{SU}(2)[C_{52}]