Kwok Chi Chim, Florian Luca. Perfect squares representing the number of rational points on elliptic curves over finite field extensions. Finite Fields and Their Applications, 67:101725, 2020. [doi]
@article{ChimL20, title = {Perfect squares representing the number of rational points on elliptic curves over finite field extensions}, author = {Kwok Chi Chim and Florian Luca}, year = {2020}, doi = {10.1016/j.ffa.2020.101725}, url = {https://doi.org/10.1016/j.ffa.2020.101725}, researchr = {https://researchr.org/publication/ChimL20}, cites = {0}, citedby = {0}, journal = {Finite Fields and Their Applications}, volume = {67}, pages = {101725}, }