On the supersingular reduction of elliptic curves |
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| Authors: | M Ram Murty |
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| Institution: | (1) Department of Mathematics, McGill University, 805 Sherbrooke Street West, H3A2K6 Montreal, Canada |
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| Abstract: | Let a∈Q and denote byE
a the curvey
2 = (x
2
+ l)(x + a). We prove thatE
a(Fp) is cyclic for infinitely many primesp. This fact was known previously only under the assumption of the generalized Riemann hypothesis.
Research partially supported by NSERC grant A9418. |
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| Keywords: | Supersingular reduction elliptic curves |
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