From the 1 of 6 linked papers with an AI index.
1 citations · 1 across the 3 of their papers we have counts for
6 papers
Unexpected primes of good reduction in quotients of modular and Shimura curves
Oana Padurariu, Sun Woo Park, John Voight
The paper determines all zero‑dimensional spaces of weight‑2 newforms with squarefree level and a prescribed Atkin–Lehner sign pattern, and uses this to classify the primes at whic…
Point counts, automorphisms, and gonalities of Shimura curves
Pietro Mercuri, Oana Padurariu, Frederick Saia +1
We implement an algorithm to compute the number of points over finite fields for the Shimura curves over and their Atkin--Lehner quotients. Our computations…
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…
Shimura curve Atkin--Lehner quotients of genus at most two
Oana Padurariu, Frederick Saia
We provide a complete enumeration of all quotients of genus and of the Shimura curves over by non-trivial subgroups of Atkin--Lehner involutions.…
Bielliptic Shimura curves with nontrivial level
Oana Padurariu, Frederick Saia
We work towards completely classifying all bielliptic Shimura curves with nontrivial level coprime to , extending a result of Rotger that provided such a classifi…
Counting 5-isogenies of elliptic curves over
Santiago Arango-Piñeros, Changho Han, Oana Padurariu +1
We show that the number of -isogenies of elliptic curves defined over with naive height bounded by is asymptotic to for some e…