Common divisors of elliptic divisibility sequences over function fields
โ Scribed by Joseph H. Silverman
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 166 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0025-2611
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๐ SIMILAR VOLUMES
Let E be a CM elliptic curve defined over an algebraic number field F . In general E will not be modular over F . In this paper, we determine extensions of F , contained in suitable division fields of E, over which E is modular. Under some weak assumptions on E, we construct a minimal subfield of di
Using Drinfeld modular curves we determine the places of supersingular reduction of elliptic curves over F 2 r( T) with certain conductors. This enables us to classify and describe explicitly all elliptic curves over F 2 r( T ) having a conductor of degree 4. Our results also imply that extremal ell
We study the existence of non-special divisors of degree g and g -1 for algebraic function fields of genus g 1 defined over a finite field F q . In particular, we prove that there always exists an effective non-special divisor of degree g 2 if q 3 and that there always exists a non-special divisor o