Week 1

Monday, June 20

• Introductions: http://tinyurl.com/3m6fs8f

• Tutorial about how to compute things about elliptic curves: http://nt.sagenb.org/home/pub/45/

• Cremona's online tables: http://www.warwick.ac.uk/~masgaj/ftp/data/

• Cremona's book (see in particular Table 1): http://www.warwick.ac.uk/~masgaj/book/fulltext/

• Assignment for today: Compute as much as you can about the curves listed here.

• Results of assignment:

  • William: See http://nt.sagenb.org/home/pub/46/ and in particular the pdf link at the bottom.

Tuesday, June 21

• 10am-12pm: Introduction to Sage in Communications B27. Video

• Presentation of assignments from June 20 (table up to norm conductor 124):

  • Rado Kirov: http://nt.sagenb.org/home/pub/47/

  • Ben Leveque: http://nt.sagenb.org/home/pub/50/

  • Andrew Ohana: http://nt.sagenb.org/home/pub/51/

  • Ashwath Rabindranath: http://nt.sagenb.org/home/pub/53/

  • Paul Sharaba: http://nt.sagenb.org/home/pub/56/

  • William Stein: http://nt.sagenb.org/home/pub/46/

• Demos of things you've done using Sage (e.g., interacts, etc.):

  • Ben Leveque's Farey Graph: http://nt.sagenb.org/home/pub/52/

• Get started with the Wiki a little: http://wiki.sagemath.org/reu/2011

• Andrew Ohana and Aly Deines: canonical stuff ohana1.pdf

• Mentioned: dumps, loads, save, load

• nosqlite: http://code.google.com/p/nosqlite/ along with a worksheet that illustrates it.

• Antwerp IV -- old tables of elliptic curves: http://modular.math.washington.edu/Tables/antwerp/

• Read Ribet's awesome paper 'Galois representations and modular forms', in particular Sections 3 and 5.

• Extensive data over Q(sqrt(5)) so far is here as plain text files. This can be used instead of http://db.modform.org, and is easier to parse.

Wednesday, June 22

• Rado's talk at 10am in Communications B27:

  • Demo: http://sagenb.org/javascript/graph_editor2/index.html

  • Best HTML5 canvas tutorial: https://developer.mozilla.org/en/canvas_tutorial

  • Graph editor source code: https://bitbucket.org/radokirov/js-graph-editor

• 11:30am -- meet in the Sage lab

• Aly Deines -- Global minimal models at 3:10pm. http://nt.sagenb.org/home/pub/62/

• Get started with Mercurial a little: http://code.google.com/p/uw-nt-reu2011/

• William's idea for determining whether there is a p-isogeny: http://nt.sagenb.org/home/pub/61/

• Elkies tables that have isogeny examples: http://www.math.harvard.edu/~elkies/nature.html

Thursday, June 23

Friday, June 24

Week 2

Monday, June 27

Tuesday, June 28

Wednesday, June 29

Thursday, June 30

Friday, July 1

Week 3

Monday, July 4

Tuesday, July 5

Wednesday, July 6

Thursday, July 7

Friday, July 8

Week 4 (William in Budapest this week)

Monday, July 11

Tuesday, July 12

Wednesday, July 13

Thursday, July 14

Friday, July 15

Week 5

Monday, July 18

Tuesday, July 19

Wednesday, July 20

Thursday, July 21

Friday, July 22

Week 6

Monday, July 25

Tuesday, July 26

Wednesday, July 27

Thursday, July 28

Friday, July 29

Week 7

Monday, August 1

Tuesday, August 2

Wednesday, August 3

Thursday, August 4

Friday, August 5

Week 8

Monday, August 8

Tuesday, August 9

Wednesday, August 10

Thursday, August 11

Friday, August 12