Opened 4 years ago

Last modified 3 years ago

#19145 new enhancement

Rigorously computing analytic ranks of elliptic curves (for ranks < 4)

Reported by: mkovesi Owned by:
Priority: minor Milestone: sage-6.9
Component: elliptic curves Keywords: elliptic curves analytic rank sd69
Cc: pbruin Merged in:
Authors: Michelle Kovesi Reviewers:
Report Upstream: N/A Work issues:
Branch: u/mkovesi/19145 (Commits) Commit: b18ef23bd0902070fa357979ba3667b18fba2d32
Dependencies: Stopgaps:

Description (last modified by mkovesi)

This is an improvement to the analytic_rank() function in the Elliptic curves over the rational numbers class. The current implementation only produces a value that is probably the analytic rank. This ticket is based on error bound computations to give a provable value of analytic rank. The computations were derived in my MSc thesis, "Proving the weak BSD conjecture for elliptic curves in the Cremona Database".

Change History (8)

comment:1 Changed 4 years ago by mkovesi

  • Description modified (diff)

comment:2 Changed 4 years ago by pbruin

  • Cc pbruin added

comment:3 Changed 4 years ago by mkovesi

  • Summary changed from Rigorously computing analytic ranks of elliptic curves (for ranks 1, 2, 3) to Rigorously computing analytic ranks of elliptic curves (for ranks < 4)

comment:4 Changed 4 years ago by mkovesi

  • Branch set to u/mkovesi/rigorously_computing_analytic_ranks_of_elliptic_curves__for_ranks_1__2__3_

comment:5 Changed 4 years ago by mkovesi

  • Branch u/mkovesi/rigorously_computing_analytic_ranks_of_elliptic_curves__for_ranks_1__2__3_ deleted

comment:6 Changed 4 years ago by mkovesi

  • Branch set to u/mkovesi/19145

comment:7 Changed 4 years ago by mkovesi

  • Commit set to b18ef23bd0902070fa357979ba3667b18fba2d32
  • Description modified (diff)

New commits:

b18ef23Added provable functionality to analytic rank computation.

comment:8 Changed 3 years ago by tmonteil

Does this ticket needs review ? I am not volunteering, just point that nobody will look at it unless its status is set to needs_review.

Last edited 3 years ago by tmonteil (previous) (diff)
Note: See TracTickets for help on using tickets.