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20132026
most citedTetrahedral Elliptic Curves and the local-global principle for Isogenies

19 citations · 43 across the 14 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

Modularity over implies modularity over

Barinder S. Banwait

We give an account of Mazur's proof that, for an elliptic curve over , if it admits a nonconstant mapping from defined over the complex numbers , for…

math.NT2022★ 1 cited

Cyclic isogenies of elliptic curves over fixed quadratic fields

Barinder S. Banwait, Filip Najman, Oana Padurariu

Building on Mazur's 1978 work on prime degree isogenies, Kenku determined in 1981 all possible cyclic isogenies of elliptic curves over . Although more than 40 years ha…

math.NT2022

Explicit isogenies of prime degree over number fields

Barinder S. Banwait, Maarten Derickx

We provide an explicit and algorithmic version of a theorem of Momose classifying isogenies of prime degree of elliptic curves over number fields, which we implement in Sage and PA…