8 citations · 12 across the 5 of their papers we have counts for
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math.CA2008★ 1 cited
Bounds for Integral j -Invariants and Cartan Structures on Elliptic Curves
Yuri Bilu, Pierre Parent
We bound the j -invariant of integral points on a modular curve in terms of the congruence group defining the curve. We apply this to prove that the modular curve Xsplit (p3) has n…
math.NT2008★ 1 cited
Serre's uniformity problem in the split Cartan case
Yuri Bilu, Pierre Parent
We prove that there exists an integer p_0 such that X_split(p)(Q) is made of cusps and CM-points for any prime p>p_0. Equivalently, for any non-CM elliptic curve E over Q and any p…