Explicit valuations of division polynomials¶of an elliptic curve
✍ Scribed by J. Cheon; S. Hahn
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 100 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
New explicit formulas are given for the supersingular polynomial ss p (t) and the Hasse invariant Ĥp (E) of an elliptic curve E in characteristic p. These formulas are used to derive identities for the Hasse invariants of elliptic curves E n in Tate normal form with distinguished points of order n.
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