Collected Works
نویسنده
چکیده
This paper provides empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. The second of theseconjectures relates six quantities associated to a Jacobian over the rationalnumbers. 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 forthe last one. In all 32 cases, the result is very close to an integer that is apower of 2. In addition, this power of 2 agrees with the size of the 2-torsionof the Shafarevich-Tate group, which we could compute.
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