On the degree of modular parametrizations over function fields
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چکیده
Let E be an elliptic curve over FqðTÞ with conductor N N: Let Y : X0ðNÞ-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 Y: These bounds are the analogs of well-known (partially conjectural) bounds in the case of rational numbers. r 2002 Elsevier Science (USA). All rights reserved.
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تاریخ انتشار 2002