Class number formulas via 2-isogenies of elliptic curves
classification
🧮 math.NT
keywords
classcharactercurvesellipticnumbernumbersanalogousassociated
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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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