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math.NT2025
The Stéphanois theorem with only prime isogenies
Desirée Gijón Gómez
We present a strengthening of the proof of the Stéphanois theorem. We follow the modular version by Waldschmidt, which is based in a suggestion by Daniel Bertrand, but it also appl…
math.NT2025
On the CM exception to a generalization of the Stéphanois theorem
Desirée Gijón Gómez
There are two classical theorems related to algebraic values of the j-invariant: Schneider's theorem and the Stéphanois theorem. Schneider's theorem for the j-invariant states that…
math.NT2023
Explicit bounds on the coefficients of the modular polynomials and the size of
Florian Breuer, Desirée Gijón Gómez, Fabien Pazuki
We give explicit upper and lower bounds on the size of the coefficients of the modular polynomials for the elliptic -function. These bounds make explicit the best previous…