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Integrality Properties in the Moduli Space of Elliptic Curves: Isogeny Case
Abstract For a fixed jāinvariant j0 of an elliptic curve without complex multiplication we bound the number of jāinvariants j that are algebraic units and such that elliptic curves corresponding to j and j0 are isogenous. Our bounds are explicit. We also modify the problem slightly by fixing a singular ā¦