The sequence of characteristic 0 spaces of modular symbols with given sign associated to the space of modular forms M, when this makes sense.
The sequence of characteristic 0 spaces of modular symbols with given sign associated to the space of modular forms M, when this makes sense.
> M := ModularForms(Gamma0(389),2); > ModularSymbols(M,+1); [ Full Modular symbols space of level 389, weight 2, and dimension 33 ] > ModularSymbols(M,-1); [ Full Modular symbols space of level 389, weight 2, and dimension 32 ] > M := ModularForms(Gamma1(13),2); > ModularSymbols(M); [ Full Modular symbols space of level 13, weight 2, and dimension 1, Full Modular symbols space of level 13, weight 2, character $.1, and dimension 0, Full Modular symbols space of level 13, weight 2, character $.1, and dimension 4, Full Modular symbols space of level 13, weight 2, character $.1, and dimension 0, Full Modular symbols space of level 13, weight 2, character $.1^2, and dimension 2, Full Modular symbols space of level 13, weight 2, character $.1, and dimension 2 ] > Basis($1)[1]; -1/6*{-7/15, -6/13} + -1/6*{-7/18, -5/13} + -1/6*{-5/16, -4/13} + -1/6*{-4/17, -3/13} + -1/6*{-3/19, -2/13} + -1/6*{0, oo}[Next][Prev] [Right] [Left] [Up] [Index] [Root]