quadratic twist
ruutkeerd
olemus
elliptkõveraga E: y2 = x3 + a1x2 + a2 x + a3
isomorfne kõver E': y2 = x3 + Da1x2 + D2a2 x + D3a3,
kus D on põhikorpuse element,
mis ei ole ühegi põhikorpuse elemendi ruut;
isomorfism seab kõvera E punktile (x, y)
vastavusse kõvera E' punkti (xD-1, yD-3/2)
= a twist of elliptic curve E over a field K is another elliptic curve which is isomorphic to E over an algebraic closure of K
ülevaateid
https://en.wikipedia.org/wiki/Twists_of_curves
https://www.ias.edu/sites/default/files/video/Kim.pdf
https://www.emis.de/journals/SIGMA/2017/083/sigma17-083.pdf