On the conductor of a family of Frey hyperelliptic curves

Key Points

• Frey hyperelliptic curves exhibit unique characteristics regarding their conductors, highlighting their algebraic structure.
• The analysis focuses on the relationship between the genus and the conductor, revealing significant properties.
• Exploration of these curves contributes to understanding their role in arithmetic geometry and number theory.
• Implications suggest a need for further studies in fine-tuning the relationships among these mathematical structures.