1MWRANK(1)                        User Commands                       MWRANK(1)
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NAME

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

10       mwrank is organized as a loop where the user enters curves one  by  one
11       and  the  program displays what it can compute about them.  An elliptic
12       curve is entered by giving its Weierstrass coefficients (which  may  be
13       integers or rationals, either as [a1,a2,a3,a4,a6] or as a1 a2 a3 a4 a6.
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15       Here are mwrank command line options (can be in any order):
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17       -h      help            prints this info and quits
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19       -q      quiet           turns OFF banner display
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21       -v n    verbosity       sets verbosity to n (default=1)
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23       -o      PARI/GP output  turns ON extra PARI/GP short output (default is
24              OFF)
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26       -p n    precision       sets precision to n decimals (default=15)
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28       -b n    quartic bound   bound on quartic point search (default=10)
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30       -x  n     n  aux            number  of  aux  primes  used  for  sieving
31              (default=6)
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33       -l       list             turns ON listing of points (default ON unless
34              v=0)
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36       -t      trace           turns ON trace of quartic  equivalence  testing
37              (debugging only)
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39       -s      selmer_only     if set, computes Selmer rank only (default: not
40              set)
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42       -d      skip_2nd_descent        if set, skips the  second  descent  for
43              curves with 2-torsion (default: not set)
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45       -S n    sat_bd          upper bound on saturation primes (default=1000,
46              -1 for automatic)
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50mwrank 2012-07-30                  May 2012                          MWRANK(1)