3 papers
math.NT2025
Double-orientations on supersingular isogeny graphs
Do Eon Cha, Imin Chen
We recall and define various kinds of supersingular -isogeny graphs and precise graph isomorphism with a corresponding quaternion -ideal graph. In particular, we introd…
math.NT2025
Revisiting the Fermat-type equation
Nicolas Billerey, Imin Chen, Lassina Dembélé +2
We solve the Fermat-type equation \[ x^{13} + y^{13} = 3 z^7, \qquad \gcd(x,y,z) = 1 \] combining a unit sieve, the multi-Frey modular method, level raising, computations of system…
math.NT2024
Improved bounds for Serre's open image theorem
Imin Chen, Joshua Swidinsky
Let be an elliptic curve over the rationals which does not have complex multiplication. Serre showed that the adelic representation attached to has open image, a…