Let E be an elliptic curve over Fq(T) with conductor N · ∞. Let p: X0(N) → E be the modular parametrization by the Drinfeld modular curve of level N. Assuming that E is a strong Weil curve we prove upper and lower bounds on deg p. These bounds are the analogs of well-known (partially conjectural) bounds in the case of rational numbers.
|Original language||English (US)|
|Number of pages||33|
|Journal||Journal of Number Theory|
|State||Published - Dec 1 2002|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory