We study the Ljunggren equation Y² + 1 = 2X⁴ using the "multiplication by 2" method of Chabauty.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-2, author = {Konstantinos A. Draziotis}, title = {The Ljunggren equation revisited}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {9-11}, zbl = {1175.11017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-2} }
Konstantinos A. Draziotis. The Ljunggren equation revisited. Colloquium Mathematicae, Tome 107 (2007) pp. 9-11. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-2/