Properties

Label 1710.2.bh
Level 17101710
Weight 22
Character orbit 1710.bh
Rep. character χ1710(619,)\chi_{1710}(619,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 240240
Sturm bound 720720

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Defining parameters

Level: N N == 1710=232519 1710 = 2 \cdot 3^{2} \cdot 5 \cdot 19
Weight: k k == 2 2
Character orbit: [χ][\chi] == 1710.bh (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 855 855
Character field: Q(ζ6)\Q(\zeta_{6})
Sturm bound: 720720

Dimensions

The following table gives the dimensions of various subspaces of M2(1710,[χ])M_{2}(1710, [\chi]).

Total New Old
Modular forms 736 240 496
Cusp forms 704 240 464
Eisenstein series 32 0 32

Trace form

240q+120q4+32q1416q15120q16+24q21+48q2910q30+12q35+24q3996q4148q45+120q49+20q50+36q54+16q56+56q5914q60+56q99+O(q100) 240 q + 120 q^{4} + 32 q^{14} - 16 q^{15} - 120 q^{16} + 24 q^{21} + 48 q^{29} - 10 q^{30} + 12 q^{35} + 24 q^{39} - 96 q^{41} - 48 q^{45} + 120 q^{49} + 20 q^{50} + 36 q^{54} + 16 q^{56} + 56 q^{59} - 14 q^{60}+ \cdots - 56 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S2new(1710,[χ])S_{2}^{\mathrm{new}}(1710, [\chi]) into newform subspaces

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

Decomposition of S2old(1710,[χ])S_{2}^{\mathrm{old}}(1710, [\chi]) into lower level spaces

S2old(1710,[χ]) S_{2}^{\mathrm{old}}(1710, [\chi]) \simeq S2new(855,[χ])S_{2}^{\mathrm{new}}(855, [\chi])2^{\oplus 2}