Properties

Label 16245.2.bd
Level 1624516245
Weight 22
Character orbit 16245.bd
Rep. character χ16245(7289,)\chi_{16245}(7289,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 13601360
Sturm bound 45604560

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Defining parameters

Level: N N == 16245=325192 16245 = 3^{2} \cdot 5 \cdot 19^{2}
Weight: k k == 2 2
Character orbit: [χ][\chi] == 16245.bd (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 285 285
Character field: Q(ζ6)\Q(\zeta_{6})
Sturm bound: 45604560

Dimensions

The following table gives the dimensions of various subspaces of M2(16245,[χ])M_{2}(16245, [\chi]).

Total New Old
Modular forms 4720 1360 3360
Cusp forms 4400 1360 3040
Eisenstein series 320 0 320

Decomposition of S2new(16245,[χ])S_{2}^{\mathrm{new}}(16245, [\chi]) into newform subspaces

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

Decomposition of S2old(16245,[χ])S_{2}^{\mathrm{old}}(16245, [\chi]) into lower level spaces

S2old(16245,[χ]) S_{2}^{\mathrm{old}}(16245, [\chi]) \simeq S2new(285,[χ])S_{2}^{\mathrm{new}}(285, [\chi])4^{\oplus 4}\oplusS2new(855,[χ])S_{2}^{\mathrm{new}}(855, [\chi])2^{\oplus 2}\oplusS2new(5415,[χ])S_{2}^{\mathrm{new}}(5415, [\chi])2^{\oplus 2}