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Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.
3
votes
Accepted
Computationally bounding a curve's genus from below?
If you can check that the curve is geometrically irreducible, then you may try using the Hurwitz formula (you may use the formula in any case, but you would have to be more careful with the conclusion …
1
vote
Upper bound on greatest prime of bad reduction for a plane curve
@Dror: I will address your last comment in the question about bounding the genus from below.
Here I wanted to add a remark: the explicit bound you found is such that any prime larger than this bound …