?? hmmm, so ... shimura and taniyama in that preface say lots of interesting stuff, it seems ...

in particular... well, they're just suggesting to me stuff about ... zeta function of arbitrary elliptic curve, and how it relates to zeta functions of imaginary quadratic number fields ... ?? in particular in complex multplication case, but perhaps suggesting generalizations beyond that ... ???? .....

?? hmmm... this _does_ relate to stuff that we've thought about before... but ... it's really seeming like we have a much better view of what's really going on now ... ???? .... ???? .... from "combining artin reciprocity with jugendtraum" ... ?? it'd be interesting though if there's some other way of thinking about this stuff that we've secretly already known about ... ???? ....

?? elliptic curve with complex multiplication .... ???as (?? ...) y^2 = f(x) ... ??? analogous to imaginary quadratic number field y^2 = ?? .... ??? that it corresponds to ..... ????? ..... ???? .... ???? .....