?? .... so ... ?? trying to flesh out plan to ... ??? experiment (via mathematica, mainly ... ?? ...) with 3-torsion / inflection points of elliptic curves ... to begin with especially those with complex multiplication, trying to to tie in / together artin reciprocity and jugendtraum .... ???..... ???? continue with plan to work out method to explicitly find inflection points, and then evaluate canonical elliptic functions there, and try to test this against artin reciprocity predictions about nature of these values, in sense of how they transform under absolute galois group .... ?? prediction should work in some pretty simple uniform way for all (??) elliptic curves with complex multiplication ??? .....

( ?? "pretty uniform" i think, but hopefully not so trivial as to be disappointing ... ?? seems like it ought to go somewhat beyond (or at least beside ... ???), for example, just plain "quadratic reciprocity" ... ?? and things similar (?? ...) to that ...?? though of course (...??...) perhaps not beyond full artin reciprocity ... ??? ....)

??? but then also ... try to simultaneously proceed with other plan (again, mainly mathematica-based), involving using _modular_ functions (?? including some sort of hecke (???) modular function/form (???) specially relating to 3-torsion case .... ???? .... ) as "machine for turning ideal number into actual number" .... ???? .... ??? and try to get these two (?? ...) plans to mesh .... ???? .....

???field of moduli (??) of elliptic curve without complex multiplication, beside that of those without ... ????? ..... ??? "field of moduli" (????) of modular curve .... ???? ..... ???"special moduli" .... ???? up to "ramification limit/index" .... ???? any meaningfulness in "modular" context ???? ..... .... evaluating modular function at elliptic curve _without_ complex multiplication .... evaluating [elliptic function living on elliptic curve _without_ complex multiplication] at torsion points .... ???? .... ??? ... relationships .... ???? ....