Poonen’s question concerning isogenies between Smart’s genus 2 curves
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- by Paul van Wamelen PDF
- Math. Comp. 69 (2000), 1685-1697 Request permission
Abstract:
We describe a method for proving that two explicitly given genus two curves have isogenous jacobians. We apply the method to the list of genus 2 curves with good reduction away from 2 given by Smart. This answers a question of Poonen.References
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Additional Information
- Paul van Wamelen
- Affiliation: Department of Mathematics, University of South Africa, P. O. Box 392, Pretoria, 0003, South Africa
- Address at time of publication: Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918
- Email: wamelen@math.lsu.edu
- Received by editor(s): June 9, 1998
- Received by editor(s) in revised form: December 7, 1998
- Published electronically: August 18, 1999
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 1685-1697
- MSC (1991): Primary 14-04; Secondary 14K02
- DOI: https://doi.org/10.1090/S0025-5718-99-01179-5
- MathSciNet review: 1677415