Computational Aspects of Algebraic Curves

1. Preface -- 2. Foreword by the editor -- 3. A new proof for the non-degeneracy of the Frey-Rück pairing and a connection to isogenics over the base field / E.F. Schaefer -- 4. Elliptic curve torsion points and division polynomials / I.A. Burhanuddin and M.A. Huang -- 5. Detecting complex multiplication / J.D. Achter -- 6. Simple numerical uniformatization of elliptic curves / M. Seppälä -- 7. On the moduli space of Klein four covers of the projective line / D. Glass and R. Pries -- 8. Field of moduli and field of definition for curves of genus 2 / G. Cardona and J. Quer -- 9. Explicit computation of Hurwitz spectra / R. Vogeler -- 10. Non-normal Belyi p-gonal surfaces / A. Wootton -- 11. Hyperelliptic curves of genus 3 with prescribed automorphism group / J. Gutierrez, D. Sevilla, and T. Shaska -- 12. Curves over finite fields with many points : an introduction / J. Voight -- 13. Hyperelliptic curves of genus 3 and 4 in characteristic 2 / Y. Demirbas -- 14. Modular representations on some Riemann-Roch spaces of modular curves X(N) / D. Joyner and A. Ksir -- 15. Genus two curves covering elliptic curves : a computational approach / T. Shaska -- 16. A question about Pic(X) as a G-module / D. Goldstein, R. Guralnick, and D. Joyner -- 17. Galois groups of prime degree polynomials with nonreal roots / A. Bialostocki and T. Shaska -- 18. Counting generating systems of a finite group from given conjugacy classes / R. Staszewski, H. Völklein, and G. Wiesend -- 19. Group action on genus 3 curves and their Weierstrass points / H. Babu and P. Venkataraman