Exponents of elliptic curves defined over local fields
β Scribed by O. N. Vvedenskii
- Book ID
- 112477947
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 303 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
We show that every elliptic curve over a finite field of odd characteristic whose number of rational points is divisible by 4 is isogenous to an elliptic curve in Legendre form, with the sole exception of a minimal respectively maximal elliptic curve. We also collect some results concerning the supe
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