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