Properties

Label 7605.2.dv
Level 76057605
Weight 22
Character orbit 7605.dv
Rep. character χ7605(2047,)\chi_{7605}(2047,\cdot)
Character field Q(ζ12)\Q(\zeta_{12})
Dimension 36163616
Sturm bound 21842184

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Defining parameters

Level: N N == 7605=325132 7605 = 3^{2} \cdot 5 \cdot 13^{2}
Weight: k k == 2 2
Character orbit: [χ][\chi] == 7605.dv (of order 1212 and degree 44)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 585 585
Character field: Q(ζ12)\Q(\zeta_{12})
Sturm bound: 21842184

Dimensions

The following table gives the dimensions of various subspaces of M2(7605,[χ])M_{2}(7605, [\chi]).

Total New Old
Modular forms 4480 3776 704
Cusp forms 4256 3616 640
Eisenstein series 224 160 64

Decomposition of S2new(7605,[χ])S_{2}^{\mathrm{new}}(7605, [\chi]) into newform subspaces

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

Decomposition of S2old(7605,[χ])S_{2}^{\mathrm{old}}(7605, [\chi]) into lower level spaces

S2old(7605,[χ]) S_{2}^{\mathrm{old}}(7605, [\chi]) \simeq S2new(585,[χ])S_{2}^{\mathrm{new}}(585, [\chi])2^{\oplus 2}