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Balakrishnan, J.S., Bianchi, F., Cantoral-Farfán, V., Çiperiani, M. and Etropolski, A. (2018) Chabauty-Coleman Experiments for Genus 3 Hyperelliptic Curves. In: Balakrishnan, J., Folsom, A., Lalín, M. and Manes, M., Eds., Research Directions in Number Theory, Springer, Cham, 67-90.
https://doi.org/10.1007/978-3-030-19478-9_3

has been cited by the following article:

• TITLE: Rational Points on Genus 3 Real Hyperelliptic Curves

  AUTHORS: Brice M. Miayoka, Regis F. Babindamana, Basile G. R. Bossoto

  KEYWORDS: Hyperelliptic Curve, Jacobian, Coleman Integration, Rational Point

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.11 No.4, October 19, 2021

  ABSTRACT: We compute rational points on real hyperelliptic curves of genus 3 defined on whose Jacobian have Mordell-Weil rank r=0. We present an implementation in sagemath of an algorithm which describes the birational transformation of real hyperelliptic curves into imaginary hyperelliptic curves and the Chabauty-Coleman method to find C (). We run the algorithms in Sage on 47 real hyperelliptic curves of genus 3.