- Abstract:
-
This paper provides empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. The second of these conjectures relates six quantities associated to a Jacobian over the rational numbers. One of these six quantities is the size of the Shafarevich-Tate group. Unable to compute that, we computed the five other quantities and solved for the last one. In all 32 cases, the result is very close to an integer that is a power of 2. In addition, this power ...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1090/S0025-5718-01-01320-5
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- Journal:
- Math. Comput.
- Volume:
- 70
- Issue:
- 236
- Pages:
- 1675-1697
- Publication date:
- 2001
- DOI:
- ISSN:
-
0025-5718
- URN:
-
uuid:0c6d7e1f-5a0c-432f-85e3-ac20f39a6c62
- Source identifiers:
-
574
- Local pid:
- pubs:574
- Language:
- English
- Keywords:
- Copyright date:
- 2001
Journal article
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves.
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