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Elliptic curves over the rationals with bad reduction at only one prime

Edixhoven, B., de Groot, A. & Top, J., 1990, In : Mathematics of Computation. 7 p.

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A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also proved that for primes congruent to 5 modulo 12, no such curves having potentially good reduction exist. This enables one to find in a number of cases a complete list of all elliptic curves with bad reduction at only one prime.
Original languageEnglish
Number of pages7
JournalMathematics of Computation
Publication statusPublished - 1990

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