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MWRANK(1)			 User Commands			     MWRANK(1)

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

       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

       -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  (de-

       -l	list		 turns ON listing of points (default ON	unless

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

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

       -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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