Tables of new modular hyperelliptic curves over Q of genus 2 to 6, organized by genus and by the decomposition of the Jacobian.

Enrique González-Jiménez

Summary of twelve tables of new modular hyperelliptic curves over Q of genus 2 to 6, split by genus and by whether the Jacobian is Q-simple. The genus-2 classification is complete; the higher-genus tables cover levels up to 3000 (Q-simple case) and 2000 (non-simple case). The tables accompany González-Jiménez-González (Math. Comp. 2003) and Baker-González-Jiménez-González-Poonen (Amer. J. Math. 2005).

References

  • doi:10.1090/S0025-5718-02-01458-8
  • M. H. Baker, E. González-Jiménez, J. González, B. Poonen, Finiteness results for modular curves of genus at least 2, Amer. J. Math. 127 (2005), no. 6, 1325-1387