Related objects

Learn more about

Show commands for: Magma / SageMath

Decomposition of \( S_{12}^{\mathrm{new}}(4) \) into irreducible Hecke orbits

magma: S := CuspForms(4,12);
magma: N := Newforms(S);
sage: N = Newforms(4,12,names="a")
Label Dimension Field $q$-expansion of eigenform
4.12.1.a 1 \(\Q\) \(q \) \(\mathstrut-\) \(516q^{3} \) \(\mathstrut-\) \(10530q^{5} \) \(\mathstrut+\) \(49304q^{7} \) \(\mathstrut+\) \(89109q^{9} \) \(\mathstrut+O(q^{10}) \)

Decomposition of \( S_{12}^{\mathrm{old}}(4) \) into lower level spaces

\( S_{12}^{\mathrm{old}}(4) \) \(\cong\) $ \href{ /ModularForm/GL2/Q/holomorphic/1/12/1/ }{ S^{ new }_{ 12 }(\Gamma_0(1)) }^{\oplus 3 } $