Multiples of Points on Elliptic Curves and Continued Fractions
โ Scribed by Adams, W. W.; Razar, M. J.
- Book ID
- 120101351
- Publisher
- Oxford University Press
- Year
- 1980
- Tongue
- English
- Weight
- 361 KB
- Volume
- s3-41
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let E be an elliptic curve defined over Q and P โ E(Q) a rational point of infinite order. Suppose that E has complex multiplication by an order in the imaginary quadratic field k. Denote by M E,P the set of rational primes such that splits in k, E has good reduction at , and P is a primitive point
In this paper we consider families of elliptic curves E n over Q arising as twists. Given rational points P n on E n , we ask how often P n is indivisible in the group of rational points of E n , as n varies over the positive integers. We prove, following the method of Silverman for families with no