3-torsion and conductor of genus 2 curves

Dokchitser, Tim; Doris, Christopher

doi:10.1090/mcom/3387

3-torsion and conductor of genus 2 curves
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Math. Comp. 88 (2019), 1913-1927 Request permission

Abstract:

We give an algorithm to compute the conductor for curves of genus 2. It is based on the analysis of 3-torsion of the Jacobian for genus 2 curves over 2-adic fields.

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