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: | |
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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 )
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
- Description modified (diff)
comment:2 Changed 4 years ago by
- Cc pbruin added
comment:3 Changed 4 years ago by
- 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
- Branch set to u/mkovesi/rigorously_computing_analytic_ranks_of_elliptic_curves__for_ranks_1__2__3_
comment:5 Changed 4 years ago by
- Branch u/mkovesi/rigorously_computing_analytic_ranks_of_elliptic_curves__for_ranks_1__2__3_ deleted
comment:6 Changed 4 years ago by
- Branch set to u/mkovesi/19145
comment:7 Changed 4 years ago by
- Commit set to b18ef23bd0902070fa357979ba3667b18fba2d32
- Description modified (diff)
comment:8 Changed 3 years ago by
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
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New commits:
Added provable functionality to analytic rank computation.