Class number formulas via 2-isogenies of elliptic curves

Details Class number formulas via 2-isogenies of elliptic curves Class number formulas via 2-isogenies of elliptic curves

2010-08-27

arxiv.org/abs/1008.4766v3

Mathematics

Number Theory

19 pages; To appear in the Bulletin of the London Mathematical Society

Scientific paper

A classical result of Dirichlet shows that certain elementary character sums
compute class numbers of quadratic imaginary number fields. We obtain analogous
relations between class numbers and a weighted character sum associated to a
2-isogeny of elliptic curves.

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