A modular symbol corresponds to an element of homology on a modular curve (relative to the cusps) and a weight two modular form corresponds to a holomorphic one-form. Given a modular symbol and a weight two modular form, how can I approximate the integral of the modular form over the relative cycle corresponding to the modular symbol?
An example (which fails to work) is the following: f = Newforms(Gamma0(23), 2, names='a')[0]; %f is a modular form M = ModularSymbols(23,2); %M is the space of modular symbols H=M.basis(); gamma=H[0]; %gamma is some modular symbol, hence a cycle relative to the cusps f.integral_period_mapping(gamma) %I hoped that this would integrate f over gamma, but it doesn't. Thanks in advance for the help. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
