1. We use pari's SEA for elliptic curves over prime fields.  the next
version of pari, 2.7, is supposed to have point-counting over
non-prime fields.
2. There is also very good code out there for hyperelliptics, I think
by Sutherland.

Do you need more general curves than that?

John

On 30 January 2014 13:42, Jean-Pierre Flori <jpfl...@gmail.com> wrote:
> I'd like to have better point counting on curves over finite fields in Sage.
> Not sure what would better fit directly within Sage and in C libraries,
> let's say FLINT.
> Not sure I can mentor someone, I'll gather some info about that.
>
>
> On Thursday, January 30, 2014 1:45:18 PM UTC+1, mmarco wrote:
>>
>>
>> I am tempted to make a poll bewteen the math instructors/researchers
>> asking them what would they like to be improved in sage, and use that
>> information for a project proposal.
>
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