Arithmetically exceptional lattès maps attached to elliptic curves without complex multiplication

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2023-6-20
Odabaş, Oğuzhan
Let E be an elliptic curve given by y2 = x3 + Ax + B. If E has complex multiplication, then under certain conditions, there is a formula to compute the value sets of Lattès maps induced by such curves. However, when the endomorphism ring of E consists only of the integers, then there is no known method to compute the value sets of Lattès maps attached to such curves. In this thesis, we will introduce a Pari/GP code that computes the value sets of Lattès maps attached to elliptic curves without complex multiplication and discuss the arithmetic exceptionality of these maps experimentally.
Citation Formats
O. Odabaş, “Arithmetically exceptional lattès maps attached to elliptic curves without complex multiplication,” M.S. - Master of Science, Middle East Technical University, 2023.