Properties

Label 325.10.z
Level 325325
Weight 1010
Character orbit 325.z
Rep. character χ325(8,)\chi_{325}(8,\cdot)
Character field Q(ζ20)\Q(\zeta_{20})
Dimension 25042504
Sturm bound 350350

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Defining parameters

Level: N N == 325=5213 325 = 5^{2} \cdot 13
Weight: k k == 10 10
Character orbit: [χ][\chi] == 325.z (of order 2020 and degree 88)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 325 325
Character field: Q(ζ20)\Q(\zeta_{20})
Sturm bound: 350350

Dimensions

The following table gives the dimensions of various subspaces of M10(325,[χ])M_{10}(325, [\chi]).

Total New Old
Modular forms 2536 2536 0
Cusp forms 2504 2504 0
Eisenstein series 32 32 0

Trace form

2504q38q216q3159232q4130q56q622534q820q9+2048q106q11+118040q12259394q1320q14+1338410q1540239116q16713986q17++78732q99+O(q100) 2504 q - 38 q^{2} - 16 q^{3} - 159232 q^{4} - 130 q^{5} - 6 q^{6} - 22534 q^{8} - 20 q^{9} + 2048 q^{10} - 6 q^{11} + 118040 q^{12} - 259394 q^{13} - 20 q^{14} + 1338410 q^{15} - 40239116 q^{16} - 713986 q^{17}+ \cdots + 78732 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S10new(325,[χ])S_{10}^{\mathrm{new}}(325, [\chi]) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.