#5704: Implementation of finding elliptic curves with prescribed reduction over
QQ
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Reporter: cremona | Owner: was
Type: enhancement | Status: new
Priority: minor | Milestone: sage-3.4.2
Component: number theory | Keywords: elliptic curve
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This enhancement implements (over QQ only) the algorithm in "Finding
all elliptic curves with good reduction outside a given set of primes"
by John Cremona and Mark Lingham, Experimental Mathematics 16 No.3
(2007), 303-312.
This is a serious application of the S-integral point functions added last
year. I have a partial Magma implementation over number fields (partial
since Magma does not have S-integral points over number fields either),
which requires number field functionality not yet in Sage (pSelmer
groups), which I know how to do but have not done; I will put those on a
separate ticket.
It is based on 3.4.1.rc0 + #5673 (2 patches) + #5685 (1 patch).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5704>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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