---
name: "sympow"
section: "1"
platform: "linux"
package: "sympow"
version: "2.023.7-1"
release: "Arch Linux 2026-11-01"
platforms: ["linux"]
url: "https://new.carta.tech/sympow"
---

# sympow(1)

SYMPOW program

## NAME

sympow - SYMPOW program

## 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: default

- **-terse**

  turn on some messages

- **-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.micro) and exit

- **-version**

  print program version and exit

- **-help**

  display this help and exit

Other options are used internally/recursively by **-new\_data**

## AUTHOR

Mark Watkins

## COPYRIGHT

Copyright © 2005-2018 by Mark Watkins

## SEE ALSO

[**gp**(1)](/gp/1.md)