SYNOPSIS
sympow [,options/]DESCRIPTION
Mathematical package to compute special values of SYMmetric POWer elliptic curve L-functions (up to about 64 digits of precision).OPTIONS
- -bound #
- an upper BOUND for how many ap to compute
- -info [] []
- only report local information for primes/sympows 1st argument is prime range, 2nd is sympow range
- -local
- only report local information (bad primes)
- -curve []
- input a curve in [a1,a2,a3,a4,a6] form
- -label []
- get a label to the given curve
- -quiet
- turn off some messages
- -terse
- turn on some messages: default
- -verbose
- turn on extra messages
- -rootno #
- compute the root number of the #th symmetric power
- -moddeg
- compute the modular degree
- -analrank
- compute the analytic rank
- -sloppy []
- for use with -analrank; have X sloppy digits
- -nocm
- abort if curve has complex multiplication
- -noqt
- ignore even powers of non-minimal quad twists
- -noqdcheck
- don't check if quad-double stuff works
- -mdspeed []
- speed for moddeg; 2.0 is default, 0.0 is proof
- -hecke
- compute Hecke symmetric powers for a CM curve
- -maxtable
- set the max size of factor tables: 2^27 default
- -sp []
- argument to specify which powers this is a comma separated list in each entry, the 1st datum is the sympow then could come b which turns Bloch-Kato on then could come w# which specifies how many tests then could come s# which says # sloppy digits then must come p# which specifices the precision or P# which says ignore BOUND for this power then must come d# which says the derivative bound or D# which says do only this derivative (neither need be indicated for even powers) default is 2w3s1p32,3bp16d1,4p8
- -new_data []
- will compute inverse Mellin transform mesh for the given data: the format is [sp]d[dv]{h,c} sp is the symmetric power, dv is the derivative, h indicates Hecke powers, and c indicates CM case d[dv] is given only for odd or Hecke powers Examples: 1d3 2 2d1h 3d2 4 4c 5d0 6 7d0h 11d1 12c NOTE: new_data runs a shell script that uses GP
- -dump-endiantuple
- display the endian-tuple, used as a component in the binary data paths, and exit
- -dump-versiontuple display the version-tuple (Major.minor) and exit
- -version
- print program version and exit
- -help
- display this help and exit
Other options are used internally/recursively by -new_data