Properties

 Label 144.2.r Level 144 Weight 2 Character orbit r Rep. character $$\chi_{144}(25,\cdot)$$ Character field $$\Q(\zeta_{6})$$ Dimension 0 Newform subspaces 0 Sturm bound 48 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$144 = 2^{4} \cdot 3^{2}$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 144.r (of order $$6$$ and degree $$2$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$72$$ Character field: $$\Q(\zeta_{6})$$ Newform subspaces: $$0$$ Sturm bound: $$48$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(144, [\chi])$$.

Total New Old
Modular forms 56 0 56
Cusp forms 40 0 40
Eisenstein series 16 0 16

Decomposition of $$S_{2}^{\mathrm{old}}(144, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(144, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(72, [\chi])$$$$^{\oplus 2}$$

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database