University of Cambridge > Talks.cam > Number Theory Seminar > Counting genus one curves over the rationals

Counting genus one curves over the rationals

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Let E be an elliptic curve defined over the rationals. Let C be a smooth genus one curve representing an element in the n-Selmer group of E for n <= 4. It is known that we can produce explicit global minimal equations describing C. I will explain how to count the equivalence classes of these equations over the ring of integers.

This talk is part of the Number Theory Seminar series.

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