what's going on here?
American Citizen <[email protected]> Tue, 3 Feb 2026 15:28:39 -0800
| Newsgroups | gmane.comp.mathematics.pari.user |
|---|---|
| Message-ID | <[email protected]> |
This is a question on the ellrank() command. I have e = [0, -3860/957, 0, 965/957, 0] ? E=ellinit(e); ? ellrank(E) %7 = [1, 1, 2, []] Huh??? what? ? [x,y]=[1/4,-1/8] %8 = [1/4, -1/8] ? ellordinate(E,1/4) %9 = [1/8, -1/8] this is a rather simple elliptic curve of rank=1, mwrank confirms the Mordell-Weil basis of [1/4,-1/8] I am using > GP/PARI CALCULATOR Version 2.18.1 (development git-5d3c5ac62a) > amd64 running linux (x86-64/GMP-6.3.0 kernel) 64-bit version > compiled: Aug 23 2025, gcc version 13.3.0 (SUSE Linux) > threading engine: pthread, nbthreads = 6 > (readline v7.0 enabled, extended help enabled) if I use ellrank(E,1) then I get the MW basis. I am just curious as to why this is missed, with no search effort specified. Should the ellrank command be rewritten with search effort set to 1 automatically? Randall