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Arithmetically exceptional lattès maps attached to elliptic curves without complex multiplication
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10553821.pdf
Date
2023-6-20
Author
Odabaş, Oğuzhan
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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.
Subject Keywords
Elliptic curve
,
Lattès map
,
Arithmetically exceptional maps
URI
https://hdl.handle.net/11511/104466
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Graduate School of Natural and Applied Sciences, Thesis
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O. Odabaş, “Arithmetically exceptional lattès maps attached to elliptic curves without complex multiplication,” M.S. - Master of Science, Middle East Technical University, 2023.