Related objects

Learn more about

Show commands for: Magma / SageMath

Decomposition of \( S_{8}^{\mathrm{new}}(3) \) into irreducible Hecke orbits

magma: S := CuspForms(3,8);
magma: N := Newforms(S);
sage: N = Newforms(3,8,names="a")
Label Dimension Field $q$-expansion of eigenform
3.8.1.a 1 \(\Q\) \(q \) \(\mathstrut+\) \(6q^{2} \) \(\mathstrut-\) \(27q^{3} \) \(\mathstrut-\) \(92q^{4} \) \(\mathstrut+\) \(390q^{5} \) \(\mathstrut-\) \(162q^{6} \) \(\mathstrut-\) \(64q^{7} \) \(\mathstrut-\) \(1320q^{8} \) \(\mathstrut+\) \(729q^{9} \) \(\mathstrut+O(q^{10}) \)