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MWRANK(1)			  User Commands 		       MWRANK(1)

NAME
     mwrank - determines the rank of an elliptic curve E over Q by 2-descent and
     generating points for E(Q) modulo torsion

DESCRIPTION
     mwrank  is  organized as a loop where the user enters curves one by one and
     the program displays what it can compute about them.  An elliptic curve  is
     entered  by  giving  its Weierstrass coefficients (which may be integers or
     rationals, either as [a1,a2,a3,a4,a6] or as a1 a2 a3 a4 a6.

     Here are mwrank command line options (can be in any order):

     -h      help	     prints this info and quits

     -q      quiet	     turns OFF banner display

     -v n    verbosity	     sets verbosity to n (default=1)

     -o      PARI/GP output  turns ON extra PARI/GP  short  output  (default  is
	    OFF)

     -p n    precision	     sets precision to n decimals (default=15)

     -b n    quartic bound   bound on quartic point search (default=10)

     -x n    n aux	     number of aux primes used for sieving (default=6)

     -l      list	     turns ON listing of points (default ON unless v=0)

     -t       trace	      turns ON trace of quartic equivalence testing (de-
	    bugging only)

     -s      selmer_only     if set, computes Selmer  rank  only  (default:  not
	    set)

     -d      skip_2nd_descent	     if set, skips the second descent for curves
	    with 2-torsion (default: not set)

     -S  n    sat_bd	      upper bound on saturation primes (default=1000, -1
	    for automatic)

mwrank 2012-07-30		    May 2012			       MWRANK(1)

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