The degrees of points with rational j-invariant on X0(n) and X1(n) are classified for all n, unconditionally for infinitely occurring degrees and assuming Zywina's conjecture for finitely occurring ones.
Les sch´ emas de modules de courbes ellip- tiques
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Degrees of points with rational $j$-invariant on $X_{0}(n)$ and $X_{1}(n)$
The degrees of points with rational j-invariant on X0(n) and X1(n) are classified for all n, unconditionally for infinitely occurring degrees and assuming Zywina's conjecture for finitely occurring ones.