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math.NT2024
Conductor exponents for families of hyperelliptic curves
Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2
We compute the conductor exponents at odd places using the machinery of cluster pictures of curves for three infinite families of hyperelliptic curves. These are families of Frey h…
math.NT2024
Computing Euler factors of genus 2 curves at odd primes of almost good reduction
Céline Maistret, Andrew V. Sutherland
We present an efficient algorithm to compute the Euler factor of a genus 2 curve C/Q at an odd prime p that is of bad reduction for C but of good reduction for the Jacobian of C (a…