| Roland Dreier on Fri, 2 Oct 1998 16:39:29 -0500 (CDT) |
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| Problem with ellap |
The default algorithm used by ellap appears to produce incorrect results.
(The curve below is not supersingular at 5, so we know right off the bat
that 0 must be wrong).
Roland
GP/PARI CALCULATOR Version 2.0.11 (beta)
i586 running linux (ix86 kernel) 32-bit version
(readline enabled, extended help available)
Copyright (C) 1989-1998 by
C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier.
Send bug reports, suggestions and patches to pari@math.u-bordeaux.fr
Type ? for help.
realprecision = 28 significant digits
seriesprecision = 16 significant terms
format = g0.28
parisize = 20000000, primelimit = 500000, buffersize = 30000
? e = ellinit([0, 2, 0, 1, 1] * Mod(1, 5))
%1 = [Mod(0, 5), Mod(2, 5), Mod(0, 5), Mod(1, 5), Mod(1, 5), Mod(3, 5),
Mod(2, 5), Mod(4, 5), Mod(2, 5), Mod(1, 5), Mod(0, 5), Mod(2, 5), Mod(3,
5), 0, 0, 0, 0, 0, 0]
? ellap(e, 5)
%2 = 0
? ellap(e, 5, 1)
%3 = -4