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| * Make a table. Starting with "van Wamelen"'s table. See also Kohel. | * Make a table. Starting with [[https://www.math.lsu.edu/~wamelen/CMcurves.txt|"van Wamelen"'s table]]. See also [[http://echidna.maths.usyd.edu.au/kohel/dbs/index.html|Kohel's tables]]. |
PROJECT GROUPS
Computing the Cartier operator acting on 1-forms
PEOPLE: Rachel P., Aly, Gagan, Anja, Sarah, Marina, Kate
See this page.
- sage worksheet that is slow and just implements algorithm (correctly!)
- make it really, really fast.
- get included in sage itself
- make a big table or something? Rachel: "I would love to find a curve with p-rank 0 and a-number 1. I did genus 4 and p=3."
Making Drew Sutherland's smalljac code usable in Sage and extending Kate's data
PEOPLE: Kate, William S., Lola, Aly, Erin, Bianca
make code usable from Python (involves Cython); see this psage issue.
- use code:
- - replicate and extend data in Kate's talk - maybe try genus 2 analogue?
- possibly implement cubic and sextic residue symbol. make it really really fast, even if it is implemented, since Kate wants lots of data.
- explicit calculation of Grossencharacters.
Computing L-series of Jacobians of Certain Hyperelliptic Curves
PEOPLE: Jennifer B., Jennifer P., Jennifer J.
- Decide if curve is attached to a modular form, and if so find it, then use that to compute L-series.
- Plug L-series into Dokchitser and get numbers.
Make a table. Starting with "van Wamelen"'s table. See also Kohel's tables.
Computing in the class group of non-maximal orders of quadratic imaginary fields
PEOPLE: William S., Bianca,
- Make a list of what you want to be able to do
- List why Magma/PARI aren't good enough (bugs, issues, speed, etc.)
- Write really really fast code to implement some of this.