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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  (de-
              fault=6)

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

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