Arithmetic of elliptic curves with complex multiplication
โ Scribed by B.H. Gross, B. Mazur
- Book ID
- 127400014
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 468 KB
- Series
- Lecture Notes in Mathematics 0776
- Edition
- 1
- Category
- Library
- ISBN
- 3540097430
No coin nor oath required. For personal study only.
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๐ SIMILAR VOLUMES
Let k be a finite field and let E be an elliptic curve over k. In this paper we describe, for each finite extension l of k, the structure of the group E(l) of points of E over l as a module over the ring R of endomorphisms of E that are defined over k. If the Frobenius endomorphism ? of E over k doe
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