Explore the intricacies of quadratic twists and epsilon factors in modular forms during this 26-minute conference talk by Sudipa Mondal at the International Centre for Theoretical Sciences. Delve into the complex world of arithmetic geometry, focusing on the symmetric cube transfers of modular forms and their associated epsilon factors. Gain insights into how quadratic twists affect these mathematical structures, contributing to the broader understanding of rational points on modular curves. This presentation is part of the "Rational Points on Modular Curves" program, which brings together experts in arithmetic geometry to discuss theoretical and computational aspects of determining rational points on modular curves for various fields and subgroups.