Koblitz's Conjecture for the Drinfeld Module
Let $E$ be an elliptic curve over the rationals without complex multiplication such that any elliptic curve $\mathbb{Q}$-isogenous to $E$ has trivial $\mathbb{Q}$-torsion. Koblitz conjectured that the number of primes less than $x$ for which $|E(\mathbb{F}_p)|$ is prime is asymptotic to $$C_E\frac{...
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| Language: | en |
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2008
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| Online Access: | http://hdl.handle.net/10012/3626 |